Calculation of wooden structures. Examples of calculations of wooden structures: Textbook for the discipline “Structures made of wood and plastics; Methodological manual for the design of wooden frame buildings
Size: px
Start showing from the page:
Transcript
1 Federal agency of Education Government agency higher vocational education Ukhta State Technical University Examples of calculations of wooden forest structures engineering structures Tutorial in the discipline "Forest Engineering Structures" Ukhta 008
2 UDC 634* 383 (075) Ch90 Chuprakov, A.M. Examples of calculation of wooden structures of forest engineering structures [Text]: textbook. manual for the discipline “Forest engineering structures” / A.M. Chuprakov. Ukhta: USTU, village: ill. ISBN The textbook is intended for students of the specialty “Forestry Engineering”. The textbook contains examples of the calculation of load-bearing elements and structures made of wood, which consistently outline the application of the basic design provisions to the solution practical problems. At the beginning of each paragraph there are brief information, explaining and justifying the calculation methods used. Toolkit reviewed and approved by the department of “Technologies and Logging Machines”, protocol 14 dated December 7, 007 and proposed for publication. Recommended for publication by the Editorial and Publishing Council of Ukhta State Technical University. Reviewers: V.N. Pantileenko, Ph.D., professor, head. Department of Industrial and Civil Engineering; E.A. Chernyshov, CEO LLC Companies "Northern Forest" Ukhta State Technical University, 008 Chuprakov A.M., 008 ISBN
3 INTRODUCTION This manual has a primarily educational and methodological goal of teaching students to apply the theoretical information presented in the course “Forest Engineering Structures” and the ability to apply SNiP to solve practical problems. The calculation examples in each section are preceded by brief information to explain and justify the calculation methods and design techniques used. This publication is intended as a guide when conducting practical classes during the study of engineering structures made of wood, when performing calculations coursework, as well as when developing the constructive part of diploma projects. Target this manual fill the gap in the calculation of elements of wooden structures, the ability to apply SNiP for the design of wooden structures in connection with the exclusion of the discipline “Fundamentals of Construction” from the curriculum in the specialty “Forestry Engineering”. It is necessary to design wooden structures in strict accordance with SNiPII.5.80 “Wooden structures. Design standards" and SNiPII.6.74 "Loads and impacts. Design standards". At the end of the manual, auxiliary and reference data necessary for structural calculations are provided in the form of appendices. 3
4 CHAPTER 1 CALCULATION OF ELEMENTS OF WOODEN STRUCTURES Wooden structures are calculated based on two limit states: bearing capacity(strength or stability) and by deformation (by deflection). When calculating according to the first limit state, it is necessary to know the design resistance, and according to the second, the modulus of elasticity of the wood. The main calculated resistances of pine and spruce wood in structures protected from moisture and heat are given in. The calculated resistances of wood of other species are obtained by multiplying the main calculated resistances by the transition coefficients given in. Unfavorable operating conditions of structures are taken into account by introducing coefficients for reducing design resistances, the values of which are given in [1, table. 10]. When determining the deformations of structures under normal operating conditions, the modulus of elasticity of wood, regardless of the species of the latter, is taken equal to E = kgf/cm. Under unfavorable operating conditions, correction factors are introduced according to. The moisture content of wood used for the manufacture of wooden structures should be no more than 15% for glued structures, no more than 0% for non-glued structures of industrial, public, residential and warehouse buildings and no more than 5% for livestock buildings, structures on outdoors and inventory structures of temporary buildings and structures. Here and further in the text, numbers in square brackets indicate the serial numbers of the list of references given at the end of the book. 4
5 1. CENTRALLY EXTENSION ELEMENTS Central extension elements are calculated using the formula where N is the design longitudinal force; ** net area of the cross-section under consideration; N R, (1.1) p 5 NT; N T b r o s l b gross cross-sectional area; osl weakening cross-sectional area; R p is the calculated tensile strength of wood along the fibers, Appendix 4. When determining the area of the LT, all weakening located in a section 0 cm long are taken as if combined in one section. Example 1.1. Check the strength of the wooden hanger of the rafters, weakened by two notches h bp = 3.5 cm, side cuts h st = 1 cm and a bolt hole d = 1.6 cm (Fig. 1.1). Calculated tensile force N = 7700 kgf, log diameter D = 16 cm. Solution. Gross cross-sectional area of the rod D 4 = 01 cm. Segment area at cutting depth h bp = 3.5 cm (Appendix 1), 1 = 3.5 cm. Segment area at cutting depth h st = 1 cm = 5.4 cm Since between the weakening by the notches and the weakening of the hole Fig. 1. Tensile element Here and in all subsequent formulas, unless a reservation is made, force factors are expressed in kgf, and geometric characteristics in cm
6 for bolt distance 8 cm< 0 см, то условно считаем эти ослабления совмещенными в одном сечении. Площадь ослабления отверстием для болта осл = d (D h ст) = 1,6 (1,6 1) =,4 см. Площадь сечения стержня нетто за вычетом всех ослаблений нт = бр осл = 01 3,5 5,4,4 = 103 см. Напряжение растяжения по формуле (1.1) кгс/см ЦЕНТРАЛЬНОСЖАТЫЕ ЭЛЕМЕНТЫ Центральносжатые деревянные стержни в расчетном отношении можно разделить на три группы: стержни малой гибкости (λ < 30), стержни средней гибкости (λ = 30 70) и стержни большой гибкости (λ >70). Low-flexibility rods are calculated only for strength using the formula N R. (1.) c High-flexibility rods are calculated only for stability using the HT formula N r a s h R s. (1.3) Rods of medium flexibility with weakening must be calculated for both strength according to formula (1.) and stability according to formula (1.3). The calculated area (calculation) of the rod for calculating stability in the absence of weakening and with weakening that does not extend to its edges (Fig. a), if the area of weakening does not exceed 0.5 br, is taken equal to 6
7 calculated = 6p, where 6p is the gross cross-sectional area; for weakening that does not extend to the edges, if the weakening area exceeds 0.5 6p, the calculation is taken equal to 4/3 NT; with symmetrical weakening extending to the edges (Fig. b), calculation = NT. The longitudinal bending coefficient is determined depending on the calculated flexibility of the element using the formulas: with element flexibility λ 70 1 a 100 ; (1.4) with element flexibility λ > 70 Fig. Weakening of compressed elements: a) not extending to the edge; b) facing edge A, (1.5) where: coefficient a = 0.8 for wood and a = 1 for plywood; coefficient A = 3000 for wood and A = 500 for plywood. The coefficient values calculated using these formulas are given in the Appendix. The flexibility λ of solid rods is determined by the formula l 0, (1.6) where l 0 is the design length of the element. To determine the design length of straight elements loaded with longitudinal forces at the ends, the coefficient μ 0 should be taken equal: with hinged ends, as well as with hinged connections at intermediate points of element 1 (Fig. 3.1); r 7
8 with one hinged and the other pinched ends 0.8 (Fig. 3.); with one pinched and the other free loaded end (Fig. 3.3); with both ends pinched 0.65 (Fig. 3.4). r radius of inertia of the element’s section. Rice. 3 Schemes for fastening the ends of the rods The radius of inertia r in the general case is determined by the formula r J br, (1.7) br where J br and 6p the moment of inertia and the gross cross-sectional area of the element. For a rectangular section with side dimensions b and h r x = 0.9 h; r y = 0.9 b. For a circular cross section (1.7a) r D 0.5 D. (1.7b) 4 8
9 The design flexibility of compressed elements should not exceed the following limit values: for the main compressed elements of the chords, support braces and support posts of trusses, columns 10; for secondary compressed elements, intermediate posts and truss braces, etc. 150; for link elements 00. The selection of sections of centrally compressed flexible rods is carried out in the following order: a) they are set by the flexibility of the rod (for the main elements λ =; for secondary elements λ =) and find the corresponding value of the coefficient; b) determine the required radius of gyration and set a smaller cross-sectional size; c) determine the required area and set the second cross-sectional size; d) check the accepted cross section using formula (1.3). Compressed elements made of logs while maintaining their conicity are calculated using a section in the middle of the length of the rod. The diameter of the log in the design section is determined by the formula D calculated = D 0 +0.008 x, (1.8) where D 0 is the diameter of the log at the thin end; x is the distance from the thin end to the section under consideration. Example 1. Check the strength and stability of a compressed rod weakened in the middle of the length by two holes for bolts d = 16 mm (Fig. 4, a). Rod cross-section b x h = 13 x 18 cm, length l =.5 m, ends are hinged. Design load N = kgf. Solution. Estimated free length of the rod l 0 = l =.5 m. Minimum radius of gyration of the section r = 0.9 b = 0.9 13 = 3.76 cm. 9
10 Fig. 4. Centrally compressed elements The greatest flexibility, 7 6 Therefore, the rod must be designed for both strength and stability. Net area of the rod nt = br osl = .6 13 = 19.4 cm. Compressive stress according to formula (1.) k g / s m. 1 9. 4 10
11 Buckling coefficient according to formula (1.4) 6 6, 6 1 0, 8 0, The weakening area is from the gross area of the slab 1, 8 5% Therefore, calculated area in this case, calculated = br = = 34 cm. Stress when calculating stability according to formula (1.3) to g s / s m R c 0, Example 1.3. Select the cross-section of the wooden block rack (Fig. 4, b) with the following data: design compressive force N = kgf; stand length l = 3.4 m, the ends are hinged. Solution. We set the flexibility of the rack to λ = 80. The coefficient corresponding to this flexibility is = 0.48 (Appendix). Find the required minimum radius of gyration (at λ = 80) l l 1 l cm; 0 0 r tr l, 5 cm 80 and the required cross-sectional area of the rack (at φ = 0.48) tr N cm R 0, c Then the required cross-sectional width of the beam according to formula (1.7a) b tr rtr 4, 5 1 4, 7 cm. 0, 9 0, 9 In accordance with the assortment of lumber, we accept b = 15 cm. The required height of the beam section. eleven
12 h tr tr 7 1 8.1 cm b 15 Take h = 18 cm; = = 70 cm. Flexibility of the rod of the accepted cross-section Stress l, 5 y r 0, m and n; u = 0.5. N k g s / s m 0, Example 1.4. A wooden post with a round cross-section, while maintaining a natural slope, carries the load N = (Fig. 4, c). The ends of the stand are hinged. Determine the diameter of the rack if its height is l = 4 m. Solution. We set the flexibility λ = 80 and find the coefficient corresponding to this flexibility = 0.48 (Appendix). We determine the required radius of gyration and the corresponding cross-section diameter: r tr l 400 r 0 tr 5 cm; D " 0 cm tr 80 0.5 We determine the required area and the corresponding cross-section diameter: hence tr N cm R 0, D "" tr Average required diameter c; tr 4 tr, 9 cm 3.1 4 D tr D " D " 1 9. 4 5 cm. D; 4. 1
13 We take the diameter of the log at the thin end D 0 = 18 cm. Then the diameter in the design section located in the middle of the length of the element is determined by formula (1.8): D = , = 19.6 cm; D 3, 6 30 cm. 4 4 Checking the accepted cross-section, 5 1 9, 6 ; 0, 4 6 ; k g s / s m 0, BENDING ELEMENTS Elements of wooden structures that work in bending (beams) are calculated for strength and deflection. Strength calculations are carried out using the formula M R, (1.9) u W where M is the bending moment from the design load; W HT the net moment of resistance of the section under consideration; R u is the calculated bending resistance of wood. The deflections of bending elements are calculated from the action of standard loads. The deflection values should not exceed the following values: for beams between floors 1 / 50 l; for beams attic floors, purlins and rafters 1 / 00 l; for lathing and flooring 1/150 l, where l is the design span of the beam. The values of bending moments and deflections of beams are calculated using general formulas structural mechanics. For a beam on two supports loaded with a uniformly distributed load, the moment and relative deflection are calculated using the formulas: HT 13
14 ql 8 M; (1.10) f 5 q l l H 3. (1.11) 384EJ The design span is taken equal to the distance between the centers of the beam supports. If the beam support width is preliminary calculations is unknown, then the design span of the beam is taken to be the clear span l 0, increased by 5%, i.e. l = 1.05 l 0. When calculating elements made of solid logs or logs sawn into one, two or four edges, take into account their natural slope (conicity). With a uniformly distributed load, the calculation is carried out along the section in the middle of the span. Example 1.5. Design and calculate the attic floor according to wooden beams, located through B = 1 m from one another. The width of the room (clear span) l 0 = 5 m. Solution. We accept this floor design (Fig. 5, a). Skull bars are nailed to the wooden beams l, resting on the walls of the building, on which are laid rolling boards 3, consisting of a solid plank flooring and four bars hemmed to it (Fig. 5, b). A dry gypsum plaster 4, covered on the inside with bitumen. On top of the board flooring, a vapor barrier 5 is first laid in the form of a cm thick layer of impregnated clay, and then insulation 6 is expanded perlite, vermiculite or other fireproof backfill materials, prepared from local raw materials and having a density (volumetric mass) γ = kg/m 3. Thickness layer of insulation 1 cm. A protective lime-sand crust 7 cm thick is placed on top of the insulation. Calculate loads. We determine the loads per 1 m of flooring (Table 1.1). 14
15 Fig. 5. To the calculation of attic floor beams Table 1.1 Elements and calculation of loads Lime-sand crust, 0, Insulation, 0.1 350 Clay lubricant, 0, Rolling boards (flooring + 50% on bars), 0.5 Dry plaster with bitumen, 0, 5 Payload Total... Standard load, kgf/m g, Load factor 1, 1, 1, 1.1 1.1 1.4 Design load, kgf/m 38.4 50.4 38.4 15.6 17, We do not take into account the own weight of the beams, since the loads from all other floor elements listed in the table were assumed to be distributed over the entire area without excluding the areas occupied by the beams. 15
16 Calculation of floor beams. When placing beams every 1 m, the linear load on the beam is: standard q H = 11 1 = 11 kgf/m; calculated q=65 1=65 kgf/m. Design span of the beam l = 1.05 l 0 = 1.05 5 = 5.5 m. Bending moment according to formula (1.10) M k gf / m. 8 Required moment of resistance of the beam W tr M cm. R and 130 Given the section width b = 10 cm, find h tr 6W tr, 6 cm. b 10 We take a beam with a cross section bxh = 10 x cm with W = 807 cm 3 and J = 8873 cm 4. Relative deflection according to formula (1.11) f l 3 5, Calculation of the shield roll forward. We calculate the panel deck for two loading cases: a) permanent and temporary load; b) assembly centered design load P = 10 kgf. In the first case, we calculate the flooring for a strip 1 m wide. Load per 1 linear line. m of design strip: q H = 11 kgf/m; q = 65 kgf/m. Design span of the flooring a 4 l B b cm. H Here B is the distance between the axes of the beams; b beam section width; and the cross-sectional width of the cranial block.. 16
17 Bending moment M 6 5 0.8 6 4.5 k gf / m. 8 The thickness of the flooring boards is taken equal to δ = 19 mm. The moments of resistance and inertia of the design strip of the flooring are equal to: W Bending stress J, cm; , cm, k g s / s m. 6 0, Relative deflection fl 3 5, Significant reserves of strength and rigidity of the flooring make it possible to use grade III semi-edged boards for its production. When the thickness of the flooring is reduced to 16 mm, its deflection will be more than the maximum. If there are distribution bars hemmed from below, the concentrated load is assumed to be distributed over a deck width of 0.5 m. We consider the load to be applied in the middle of the deck span. Bending moment M Pl H k g s / s m. 4 4 Moment of resistance of the design strip. W 5 0 1.1 cm. 6 17
18 Bending stress, g s / s m, 3 0.1 where 1 is a coefficient taking into account the short duration of action installation load. 4. TENSION-BENDING AND COMPRESSION-BENDING ELEMENTS Tension-bending and compression-bending elements are subject to the simultaneous action of axial forces and a bending moment resulting from transverse bending of the rod or eccentric application of longitudinal forces. Tensile bending rods are calculated using the formula N M R p R. (1.1) p W R H T H T and Compression bending rods in the bending plane are calculated using the formula N M R c R W R H T H T u c, (1.13) where the coefficient taking into account the additional moment from the longitudinal force during deformation of the rod, determined by the formula 1 N 3100 R with br. Compressed bending rods with lower cross-sectional rigidity in the plane perpendicular to the bending must be checked in this plane for general stability without taking into account the bending moment according to formula (1.3). 18
19 Example 1.6. Check the strength of a beam with a cross section of 13 x 18 cm (Fig. 6), stretched by a force N = kgf and bent by a concentrated load P = 380 kgf, applied in the middle of the span l = 3 m. The cross section of the rod in this place is weakened by two holes for bolts d = 16 mm. Rice. 6. Tensile bending element Solution. Maximum bending moment M Pl k g s / m. 4 4 Net cross-sectional area nt = b (h d) = 13 (18 1.6) = 19.4 cm Moment of inertia of weakened section bh J b d a cm HT 1 1 Moment of resistance W HT J 5750 HT see 0.5 h 9 19
20 Stress according to formula (1.1), k g s / s m. 1 9, Example 1.7. Check the strength and stability of the compressed-bending rod, hinged at the ends (Fig. 7). Section dimensions b x h = 13 x 18 cm, rod length l = 4 m. Design compressive force N = 6500 kgf, design concentrated force applied in the middle of the rod length, P = 400 kgf. Rice. 7. Compressed bending elements Solution. Let's check the strength of the rod in the bending plane. Design bending moment from transverse load M Pl k g s / m. 4 4 Section area = = 34 cm. Sectional moment of resistance W x = bh /6 = 70 cm 3. 0
21 Radius of inertia of the section relative to the X axis r к = 0.9 h = 0.9 18 = 5, cm Flexibility of the rod x 5, Coefficient according to formula (1.14), Stress according to formula (1.13) k g s / s m 3 4 0, Let's check the stability of the rod in a plane perpendicular to the bend. Radius of inertia of the section relative to the Y axis r y = 0.9 b = 0.9 13 = 3.76 cm. Flexibility of the rod relative to the Y axis y 3.7 6 Buckling coefficient (as applied) φ = 0.76. Stress according to formula (1.3) k g s / s m 0,
22 CHAPTER CALCULATION OF CONNECTIONS OF ELEMENTS OF WOODEN STRUCTURES 5. JOINTS ON NOTCHES Elements on notches are connected mainly in the form of frontal notches with one tooth (Fig. 8). Frontal notches are designed for crushing and spalling based on the condition that the design force acting on the connection does not exceed the design load-bearing capacity of the latter. Rice. 8. Frontal cut
23 Calculation of frontal notches for crushing is carried out according to the basic work plane crushing, located perpendicular to the axis of the adjacent compressed element, to the total force acting in this element. The calculated load-bearing capacity of the connection from the crushing condition is determined by the formula T R cm cm cm, (.1) where is the crushing area; R cm cm calculated resistance of wood to crushing at an angle to the direction of the fibers, determined by the formula R cm R cm R cm sin R cm 90. (.) The depth of notches in the support nodes of rod structures should be no more than 1 3 h, and in intermediate nodes not more than 1 4 h, where h is the cross-sectional size of the element in the cutting direction. The design load-bearing capacity of a connection based on the shearing condition is determined by the formula where is the shearing area; sk av, (.3) s k s k s k T R av R calculated average chipping resistance of wood over the sk cleaving area. The length of the shearing area l sk in frontal cuts must be at least 1.5 h. The average calculated chipping resistance over the shearing area with a platform length of no more than h and ten insertion depths in joints made of pine and spruce is taken equal to avg 1 /. R k gf s m For length l ck more than h, the calculated shear resistance is reduced and is taken according to Table 1. 3
24 sr l sk h Table.1,4,6,8 3 3, 3.33 R, k gf / s msk 1 11.4 10.9 10.4 10 9.5 9. 9 For intermediate values of the ratio l sk / h the values of the calculated resistances are determined by interpolation. Example.1. Check the load-bearing capacity of the truss support unit, solved by a frontal notch with one tooth (Fig. 8, a). Section of beams b x h = 15 x 0 cm; angle between belts " "(s in 0, 3 7 1; c o s 0, 9 8); cutting depth h = 5.5 cm; length of the shearing platform l ск = 10 h рр = 55 cm; calculated compressive force in the upper belt N c = 8900 kgf. Solution. Calculated resistance of wood to crushing at an angle according to the formula (.) Crushing area 130 R / 130 k gf s m cm, cm bhv 1 5 5. 5 8 8. 8 cm c o s 0. 9 8 Load-bearing capacity of the connection from the condition of bearing strength according to the formula (.1) T 8 8, N to gs. cm Design force acting on the shearing area, T N N c o s to gf. Shearing area p c c c c k l b cm c.. 4
25 Calculated average chipping resistance of wood at the ratio l sk / h = 55/0 =.75 avg 1 0.1 / (see Table 1). R k gf s m Load-bearing capacity of the connection from the condition of chipping strength according to formula (.3) T sk, k gf. Example.. Calculate the frontal notch of a triangular support unit roof truss(Fig. 8, b). The truss chords are made of logs with a design diameter at the node D = cm. The angle between the chords is a = 6 30" (sin a = 0.446; cos a = 0.895). The design compressive force in the upper chord is N c = kgf. Solution. Design resistance of wood crushing at a given angle cm / (Appendix 4). cm cm Using Appendix 1, we find that with D = cm, the nearest area seg = 93.9 cm corresponds to the cutting depth h bp = 6.5 cm. We accept h bp = 6.5 cm, which is less than the maximum cutting depth, which in this case, taking into account the necessary undercutting of the log of the lower belt to a depth of h CT = cm is 1 D h st h h 6, 6 7 cm wr Length of the cutting chord (width of the shearing plane) at h wr = 6.5 cm b = 0.1 cm (Appendix 15
26 Required length of the shearing plane at av R = 1 kgf/cm: sk l sk N c o s , c 3 7.1 cm av br 0.1 1 sk We accept l sk = 38 cm, which is more than 1.5 h = 1.5 () = 30 cm. Since the length of the shearing plane turned out to be less than h = () = 40 cm, cp, then the accepted value R = 1 kgf/cm corresponds to the standards. sk We arrange the support beam from plates with a diameter of cm. For the support cushion we take the same plate with a top edge of cm, which will provide a support width b 1 = 1.6 cm (Appendix 1). Bearing stress over the area of contact between the sub-beam and the support cushion N c sin, 4 k gf / s m 1. 6 cm where 4 kgf / cm is the calculated bearing resistance R CM90 across the fibers in the supporting planes of the structures.., 6. CONNECTIONS ON CYLINDRICAL DOGS Estimated load-bearing capacity the ability for one cut of a cylindrical dowel in joints of elements made of pine and spruce when the forces are directed along the fibers of the elements is determined by the formulas: according to the bending of the dowel T and = 180 d + a, but not more than 50 d; by collapse of the middle element with thickness T c = 50 cd; according to the collapse of the outermost element with thickness a T a = 80 ad. (.4a) (.4b) (.4c) The number of dowels n H that must be placed in the connection to transmit force N is found from expression 6
27 n H N, (.5) where T n is the smaller of the three values of the load-bearing capacity of the dowel, calculated using formulas (.4); p s number of dowel cuts. The calculated load-bearing capacity of the dowel T n can also be determined using Appendix 5. The distance between the axes of the dowels must be at least: along the fibers s 1 = 7 d; across the fibers s = 3.5 d and from the edge of the element s 3 = 3 d. The calculated load-bearing capacity of a cylindrical dowel T n when the force is directed at an angle a to the fibers of the elements is determined as the smaller of the three according to the formulas: H nt (1 8 0), but not more than T k d a c H T c = k α 50 cd; T a = k α 80 cd. k 50d ; (.6a) (.6b) (.6c) Angle α and degrees Table. Coefficient k a for steel dowels with a diameter in mm 1, 1.4 1.6 1.8, 0.95 0.95 0.9 0.9 0.9 0.9 0.75 0.75 0.7 0.675 0, 65 0.65 0.7 0.65 0.6 0.575 0.55 0.55 Note. The values of the coefficient ka for intermediate angles are determined by interpolation. Example.3. The joint of the lower stretched belt of the truss truss (Fig. 9, a) is made using plank overlays connected to the belt with dowels made of round steel. The belt is made of logs with a diameter at the joint of 19 cm. To ensure a tight fit of the overlays, the logs are hewn on both sides by 3 cm to a thickness of c = 13 cm. The overlays are made from boards with a cross section a x h = 6 x 18 cm. Design tensile force N = kgf. Calculate the connection. 7
28 Fig. 9. Connections on steel cylindrical dowels Solution. The diameter of the dowels is set approximately equal to (0.0.5) a, where a is the thickness of the lining. We accept d = 1.6 cm. We determine the calculated load-bearing capacity of the dowel per section using formulas (.4): H , ; T k gs k gs T c T a , k gs; , to Ms. 8
29 The smallest calculated load-bearing capacity Tn = 533 kgf. Double-cut dowels. Required number of dowels according to formula (.5): n H , 9 pcs We accept 1 dowels, of which 4 are bolts on each side of the joint. We place the dowels in two longitudinal rows. Distance between dowels along the fibers: s 1 = 7 d 7 1, 6 = 11, cm (assuming 1 cm). The distance from the axis of the dowels to the edge of the overlays is s 3 = 3 d 3 1, 6 = 4.8 cm (assuming 5 cm). The distance between the dowels across the fibers is s h s = 8 cm > 3.5 d = 5.6 cm. 3 Net cross-sectional area of the belt minus side stitches and weakening by holes for dowels. D 8 4 8, 8 1,. seg d c cm HT 4 Weakened cross-sectional area of the linings HT () 6 (1 8 1, 6) 1 7 7, 6. a h d cm Tensile stress in the linings N, k gf / s m. HT 1 7 7, 6 Example.4. In the crossbar of inclined rafters (Fig. 9, b) a tensile force of N = 500 kgf occurs. The crossbar is made of two plates with a diameter Dpl = 18 cm. The plates cover a rafter leg made of logs D = cm on both sides and are attached to it with two bolts d = 18 mm, working as double-cut dowels. Grinding depth 9
30 of the rafter leg at the junction of the crossbar h "ST = 3 cm. For a tight fit of the bolt washers, the plates are hewn to a depth of h ST = cm. The angle between the direction of the crossbar and the rafter leg is a = 30. Check the strength of the connection. Solution. Load-bearing capacity of a steel cylindrical dowel per cut with the direction of the force at an angle to the fibers is determined by the formulas (.6): H 0, 9 (, 8 7) , ; 9 coefficient k a, determined from the table.; c = D h st = 3 = 16 cm thickness of the middle element; a = 0.5 D pl h st = 0, = 7 cm thickness of the outer element. The smallest load-bearing capacity of the dowel T n = 647 kgf. Full load-bearing capacity of the connection p n p s T n = == 588 > 500 kgf. The distance from the axis of the dowel to the end of the crossbar is taken s 1 = 13 cm > 7 1, 8 = 1.6 cm. The distance between the axes of the dowels across to the axis of the crossbar we take s = 6 cm and across to the axis of the rafter leg. So, let's summarize: "s = 9 cm. The ability of a material to resist external force influences is called mechanical properties. TO mechanical properties wood include: strength, elasticity, ductility and hardness. The strength of wood is characterized by its ability to resist external forces (loads). thirty
31 Forces that resist external influences (loads) are called internal forces or stress. Thus, in the sections of wooden structures, compressive, tensile, bending, shearing (crushing) or chipping stresses arise. The considered methods for calculating wooden structures are focused on typical species structures studied in the discipline “Forest Engineering Structures”. . It is necessary to design wooden structures in strict accordance with SNiP and GOST. 31
32 Applications 3
33 Diameter in cm Indicators B B B B B B B B B B B B B B B B B B 4.8 1.6 5 1.68 5.3 1.75 5.37 1.8 5.57 1.87 5.76 1.93 5.91 1.98 6.08, 04 6.5.09 6.4.14 6.55, 6.7.4 6.85.3 Dimensions of chords b in cm and areas in cm of segments Cutting depth 0.5 1 1.5.5 3 3.5 4 4.5 5 7.34 7.14.39 7.7.45 7.41.49 7.55.5 7.67.57 6.6 4.5 6.9 4.7 7, 4.88 7.47 5.06 7.8 5.4 8 5.4 8, 5.56 7.94 8.18 8.3 8.65 8.67 8.85 9.0 9, 9.3 9.51 9.6 9.83 9.9 10.1 8.5 5.7 10, 10.4 8.7 5.87 8.9 6 9, 6.17 9.4 6.31 9.6 6.44 9.8 6.58 10.5 10.7 8.91 1.4 9.39 1.9 9.8 13.6 9.75 17, 10, 17.8 10.7 18.6 10, 14 11 ,1 19.7 10.6 14.5 10.4.1 10.9 3, 11.5 4, 11.6 0 1.5 6.1 10.3 15.4 11.7 15.9 10, 8 11 1.3 16.8 11.1 11.3 11.4 11.5 11.6 11.8 10 6.71 1.1 1, 10, 6.85 10.4 6.96 10.6 7 ,1 10.8 7.3 1.4 1.4 1.8.1 1 16.3 13.6 1.6 17.1.9 17.6 11.9 1 13.6 18.4 1.4 1.5 1.6 1.7 13.6 3.3 10.9 7.5 11.5 8.8 1.1 30.1 1 5.1 1.7 31.4 13.4 7.9 13 .8 8.8 14.3 9.6 14.7 30.4 14 3.9 15.1 31.1 14.3 4.4 15.5 31.9 13.7 5 15.9 3.6 13 ,8 18.8 14.1 19.1 14.4 19.5 1.7 19.9 13.1 13, 15 5.5 16, 33.4 13, 3.5 13.7 33.7 14, 34.8 14.7 35.9 15, 36.9 15.6 37.9 15.1 38.9 16.5 39.9 16.9 40.9 17.3 41.8 15.3 6 16, 7 4.6 15.7 6.6 16 1.7 16.3 7.6 15 0.4 16.6 8.7 18.1 43.6 17.3 35.4 17.7 36.1 18, 5 44.4 18.9 45.8 19.3 46.3 11.4 1.4 40.7 1.7 36.6 13.3 37.8 13.9 39.3 14.4 40.5 43 .7 13.1 4.8 13.8 44.7 14.4 46.6 49.7 16.51.4 16.7 5.9 16.54, 17.7 55.9 17.4 48.4 17.9 49.5 18.3 50.7 18.8 51.8 19.5.9 18.57.4 18.7 58.8 19.60.1 19.7 61.4 0.1 6, 7 Appendix 1 14.1 51.5 14.8 53.7 15.5 55.7 16.1 57.7 16.7 59.6 17.3 61.4 17.9 63, 18.4 64.6 19.5 68.3 0 69.9 0.5 71.6 54 0.6 64 1.4 74.4 58.1 1 65.5 1.9 76 1.4 66.5.4 77.4 33
34 34 End adj. 1 in round sections for different insertion depths h BP in cm 5.5 6 6.5 7 7.5 8 8.5 9 9.9 63.6 16.6 65.3 17, 68.1 17.7 76.8 17.9 70, 18.3 79.3 18.7 88.5 18.5 7.6 19.4 91, 19.1 74.3 19.6 84 0.1 93.9 0.6 76.3 0.86 , 0.7 96.5 1, 107 1, 78, 0.8 88.4 1.3 99 1.8 110, 11.6 13 0.7 80.1 1.4 90.5 1.9 101, 4 113.9 14 3, 81.9 1.9 9.7.7 84.5 94.7 3, 130 4.6 14 5.4 167, 85.4 3 96.7 3, 10 4, 171, 7 87.1 3.5 98.7 4, 111 4.8 13 5, 188 3, 88.9 19 8.3 06
35 35 Flexibility λ Appendix Value of coefficient φ Coefficient φ .99 0.99 0.988 0.986 0.984 0.98 0.98 0.977 0.974 0.968 0.965 0.961 0.958 0.954 0.95 0.946 0.94 0.937 0.98 0.93 0.918 0.913 0.907 0.891 0.884 0.87 0.866 0.859 0.85 0.845 0.838 0.831 0.84 0.810 0.8 0.79 0.784 0.776 0.768 0.758 0.749 0.74 0.731 0.71 0J0 0.69 0.68 0 .67 0.66 0.65 0.641 0.63 0.608 0.597 0.585 0.574 0.56 0.55 0.535 0.53 0.508 0.484 0.473 0.461 0.45 0.439 0.49 0.419 0.409 0.4 0.383 0.374 0.3 66 0.358 0.351 0.344 0.336 0.33 0.33 0.31 0.304 0.98 0.9 0.87 0.81 0.76 0.71 0.66 0.61
36 36 End adj. Flexibility λ Coefficient φ .56 0.5 0.47 0.43 0.39 0.34 0.3 0.6 0, 0.16 0.1 0.08 0.05 0.0 0.198 0.195 0.19 0.189 0.183 0.181 0.178 0.175 0.173 0.17 0.168 0.165 0.163 0.158 0.156 0.154 0.15 0.15 0.147 0.145 0.144 0.14 0.138 0.136 0.134 0.13 0.13 0.19 0.17 0.16 0.14 0.11 0.1 0.118 0.117 0.115 0.114 0.11 0.111 0.11 0.107 G, 106 0.105 0.104 0.10 0.101 0.1 0.099 0.098 0.096 0.095 0.094 0.093 0, 09 0.091 0.09 0.089 0.086 0.085 0.084 0.083 0.08 0.081 0.081 0.08 0.079 0.078
37 Appendix 3 Calculated data Height h=k 1 D 1 0.5 Sectional area =k D 0.785 0.393 Distance from the neutral axis to the outermost fibers: z 1 =k 3 D z =k 4 D 0.5 0.5 0.1 0.9 Moment of inertia: J x =k 5 D 4 J y =k 6 D 4 0.0491 0.0491 0.0069 0.045 Moment of resistance: W x =k 7 D 3 W y =k 8 D 3 0.098 0.098 0.038 0.0491 Maximum radius of gyration r min =k 9 D 0.5 0.13 37
38 End adj.971 0.933 0.943 0.866 0.393 0.779 0.763 0.773 0.740 0.5 0.475 0.447 0.471 0.433 0.5 0.496 0.486 0.471 0.433 0.04 5 0.0476 0.441 0.461 0.0395 0.0069 0.0491 0.0488 0.490 0.0485 0 .0491 0.0960 0.0908 0.0978 0.091 0.038 0.0981 0.0976 0.0980 0.097 0.13 0.47 0.41 0.44 0.031 38
39 Design characteristics of materials Appendix 4 Stress state and characteristics of elements Designation Design resistance MPa leniya, for kgf/cm graded wood Bending, compression and crushing of fibers: a) elements of rectangular cross-section (except for those specified in subparagraphs “b” and “c”) with height up to 50 cm b) elements of a rectangular section with a width of over 11 to 13 cm with a section height of over 11 to 50 cm c) elements of a rectangular section with a width of over 13 cm with a section height of over 13 to 50 cm d) elements made of round timber without inserts in the design section . Tension along the fibers: a) non-glued elements b) glued elements 3. Compression and crushing over the entire area across the fibers 4. Local crushing across the fibers: a) in the supporting parts of structures, frontal and nodal junctions of elements b) under washers at crushing angles of 90 to Chipping along the fibers: a) when bending non-glued elements b) when bending glued elements c) in frontal cuttings for maximum stress R and, R c, R cm R and, R c, R cm R and, R c, R cm R i, R c, R cm R p R p R c.90, R cm.90 R cm.90 R cm.90 R ck R ck R ck.8 18 1.6 16.6 16 1.5 15.6 16 1.5 15.1 1 39
40 Stress state and characteristics of elements Design characteristics of materials Designation End adj. 4 Calculated resistance MPa leniya, for kgf/cm graded wood 1 3 g) local in adhesive joints for maximum stress 6. Shearing across the grain: a) in joints of non-glued elements b) in joints of glued elements 7. Tension across the fibers of elements made of laminated wood R ck R ck.90 R ck.90 R p.90.7 7 0.35 3.5.1 1 0.8 8 0.7 7 0.3 3.1 1 0.6 6 0.6 6 0.35 3.5 NOTE: 1. The design resistance of wood to crushing at an angle to the direction of the fibers is determined by formula R cm R cm 3 1 (1) s in R R cm 90. The calculated resistance of wood to chipping at an angle to the direction of the fibers is determined by the formula R cm sk. R sk 3 1 (1) sin R R sk.90 sk.. 40
41 Bibliography 1. SNiP II Wooden structures. Design standards.. SNiP IIB. 36. Steel structures. Design standards. 3. SNiP II6.74. Loads and impacts. Design standards. 4. Ivanin, I.Ya. Examples of design and calculation of wooden structures [Text] / I.Ya. Ivanin. M.: Gosstroyizdat, Shishkin, V.E. Structures made of wood and plastic [Text] / V.E. Shishkin. M.: Stroyizdat, Forest engineering structures [Text]: guidelines for the implementation of the project wooden bridge for students of the specialty “Forestry Engineering” / A.M. Chuprakov. Ukhta: USTU,
42 Contents Introduction... 3 Chapter 1 Calculation of elements of wooden structures Centrally tensile elements... 5 Centrally compressed elements Bendable elements Tensile-bending and compression-bending elements Chapter Calculation of connections of elements of wooden structures... 5 Connections on notches... 6 Connections on cylindrical dowels.. 6 Applications... 3 Bibliography
43 Educational publication Chuprakov A.M. Examples of calculation of wooden structures of forest engineering structures Textbook Editor I.A. Bezrodnykh Corrector O.V. Moisenia Technical editor L.P. Korovkin Plan 008, position 57. Signed for printing. Computer typesetting. Times New Roman typeface. Format 60x84 1/16. Offset paper. Screen printing. Conditional oven l.,5. Uch. ed. l., 3. Circulation 150 copies. Order 17. Ukhta State Technical University, Ukhta, st. Pervomaiskaya, 13 Department of operational printing of USTU, Ukhta, st. Oktyabrskaya, 13.
FEDERAL AGENCY FOR EDUCATION FGOU VPO KAZAN STATE ARCHITECTURAL AND CONSTRUCTION UNIVERSITY Department metal structures and testing of structures METHODOLOGICAL INSTRUCTIONS for practical
LECTURE 3 Wooden structures must be calculated using the limit state method. Limit states of structures are those at which they cease to meet operating requirements.
Calculation of elements of steel structures. Plan. 1. Calculation of elements of metal structures based on limit states. 2. Standard and design resistances of steel 3. Calculation of elements of metal structures
Ministry of Education and Science Russian Federation Federal state budget educational institution higher education"Tomsk State University of Architecture and Civil Engineering"
LECTURE 4 3.4. Elements subject to axial force with bending 3.4.1. Tensile-bending and eccentrically stretched elements Tension-flexible and eccentrically stretched elements work simultaneously
Lecture 9 Wooden racks. The loads perceived by the flat load-bearing structures of the covering (beams, covering arches, trusses) are transmitted to the foundation through racks or columns. In buildings with wooden load-bearing structures
LECTURE 8 5. Design and calculation of DC elements from several materials LECTURE 8 Calculation of laminated wood elements with plywood and reinforced wood elements should be performed according to the method given
MINISTRY OF EDUCATION AND SCIENCE OF THE RUSSIAN FEDERATION Federal State Educational Institution of Higher Education "Pacific State University» CALCULATION AND DESIGN OF STEEL
LECTURE 10 TYPES OF JOINTS IN WOODEN STRUCTURES. CONNECTIONS OF BEHZ SPECIAL CONNECTIONS Purpose of the lecture: students’ development of competencies in studying connection methods wooden elements and principles of their calculation
Reliability of building structures and foundations. Wooden structures. Basic provisions for the calculation STANDARD CMEA ST CMEA 4868-84 COUNCIL FOR MUTUAL ECONOMIC ASSISTANCE Reliability of building structures and
MINISTRY OF EDUCATION AND SCIENCE OF THE SAMARA REGION State budgetary educational institution of secondary vocational education "Togliatti Polytechnic College" (GBOU SPO "TPT")
Ministry of Education and Science of the Russian Federation Federal State Budgetary Educational Institution of Higher Professional Education "Tomsk State Architectural and Construction
Ministry of Education and Science of the Russian Federation Syktyvkar Forestry Institute, a branch of the state educational institution of higher professional education "St. Petersburg State
164 MINISTRY OF EDUCATION AND SCIENCE OF THE RUSSIAN FEDERATION FEDERAL STATE BUDGET EDUCATIONAL INSTITUTION OF HIGHER PROFESSIONAL EDUCATION “LIPETSK STATE TECHNICAL UNIVERSITY”
Design of welded structures Trusses General information A truss is a lattice structure consisting of individual straight rods connected to each other at nodes. The truss works in bending from
PRACTICAL WORK 4 CALCULATION AND CONSTRUCTION OF TRUSSES GOAL: to understand the procedure for calculating and designing a truss unit made of equal-flange angles. ACQUIRED ABILITIES AND SKILLS: ability to use
Ministry of Education and Science of the Russian Federation YUGRA STATE UNIVERSITY Faculty of Engineering Department of Construction Technologies and Structures USING THE SAP SOFTWARE COMPLEX
1 - Methodology for determining the load-bearing capacity of elements of window blocks and facades. (project) - 2 - Attention! The processing plant selects the AGS system designs at its own responsibility,
Design of metal structures. Beams. Beams and beam cages Beam coupling Steel flat decking Selection of the section of a rolled beam Rolled beams are designed from I-beams or channels
Beam calculation 1 Initial data 1.1 Beam diagram Span A: 6 m. Span B: 1 m. Span C: 1 m. Beam spacing: 0.5 m. 1.2 Loads Name q n1, kg/m2 q n2, kg/m γ f k d q р, kg/m Constant 100 50 1 1 50
BEL O RUSSIAN NATIONAL TECHNICAL UNIVERSITY OF BUILDING FACULTY OF SCIENTIFIC AND TECHNICAL SEMINAR ISSUES OF TRANSITION TO EUROPEAN
Ministry of Education and Science of the Russian Federation NATIONAL RESEARCH MOSCOW STATE CIVIL UNIVERSITY Department of Metal and Wooden Structures CALCULATION OF STRUCTURES
CONTENTS Introduction.. 9 Chapter 1. LOADS AND IMPACTS 15 1.1. Classification of loads........ 15 1.2. Combinations (combinations) of loads..... 17 1.3. Determination of design loads.. 18 1.3.1. Permanent
Astrakhan College of Construction and Economics The procedure for calculating a prestressed hollow-core slab for strength for specialty 713 “Construction of buildings and structures” 1. Design task
Astrakhan College of Construction and Economics The procedure for calculating a prestressed beam (crossbar) for strength for specialty 2713 “Construction of buildings and structures” 1. Design task
UDC 624.014.2 Features of calculation of support units of three-hinged adhesive plank long-span arches. Comparative analysis constructive solutions Krotovich A.A. (Scientific supervisor Zgirovsky A.I.) Belorussky
Steel trusses. Plan. 1. General information. Types of trusses and general sizes. 2. Calculation and design of trusses. 1. General information. Types of trusses and general sizes. A truss is a rod structure
LECTURE 5 The length of standard lumber is up to 6.5 m, the cross-sectional dimensions of the beams are up to 27.5 cm. When creating building structures, the need arises: - to increase the length of elements (increase),
A.M. Gazizov E.S. Sinegubova CALCULATION OF GLUED BEAM STRUCTURES Yekaterinburg 017 MINISTRY OF EDUCAMENT OF THE RUSSIA FSBEI OF HE "URAL STATE FORESTRY UNIVERSITY" Department of Innovative Technologies and
Control questions on strength of materials 1. Basic principles 2. What are the main hypotheses, assumptions and premises that underlie the science of strength of materials? 3. What main problems does it solve?
Astrakhan College of Construction and Economics Procedure for calculating prestressed ribbed slab for strength for specialty 713 “Construction of buildings and structures” 1. Design task
MINISTRY OF EDUCATION AND SCIENCE OF THE RUSSIAN FEDERATION Federal state budgetary educational institution of higher education "ULYANOVSK STATE TECHNICAL UNIVERSITY" V. K. Manzhosov
FEATURES OF DESIGNING WOODEN FRAMEWORKS Remarkable history Half-timbered (German: Fachwerk (frame structure, half-timbered structure) type building structure, in which the supporting base is
TSNIISK IM. V. A. KUCHERENKO GUIDE TO DESIGNING WELDED TRUSSES FROM SINGLE CORNERS MOSCOW 1977 frame construction ORDER OF THE RED BANNER OF LABOR CENTRAL RESEARCH INSTITUTE
Ministry of Education of the Russian Federation St. Petersburg State Technical University APPROVED Head. Department of Building Structures and Materials 2001 Belov V.V. Discipline program
WORK PROGRAM of the discipline Wood and plastic structures in the direction (specialty) 270100.2 “Construction” - bachelor Faculty of Civil Engineering Form of study full-time Block of disciplines SD
Calculation of floor and column structures steel frame buildings Initial data. Dimensions of the building in plan: 36 m x 24 m, height: 18 m Place of construction: Chelyabinsk (III snow region, II wind region).
A.M. Gazizov CALCULATION OF BUILDING STRUCTURES FROM PLYWOOD Yekaterinburg 2017 MINISTRY OF EDUCATION AND SCIENCE FEDERAL GBOU OF HEALTH "URAL STATE FORESTRY UNIVERSITY" Department of Innovative Technologies
CONTENTS 1 DESIGN PARAMETERS 4 DESIGN AND CALCULATION OF THE UPPER PART OF A COLUMN 5 1 Layout 5 Checking stability in the bending plane 8 3 Checking stability from the bending plane 8 3 CONSTRUCTION
Appendix Ministry of Agriculture of the Russian Federation Federal State Budgetary Educational Institution of Higher Education Saratov State Agrarian University named after
Assessment of the load-bearing capacity of brick masonry The walls of the masonry are vertical load-bearing elements building. Based on the measurement results, the following calculated dimensions of the walls were obtained: height
PRACTICAL WORK 2 CALCULATION OF STRETCHED AND COMPRESSED ELEMENTS OF METAL STRUCTURES OBJECTIVE: To understand the purpose and procedure for calculating centrally stretched and centrally compressed elements of metal structures.
CONTENTS Preface... 4 Introduction... 7 Chapter 1. Absolute mechanics solid. Statics... 8 1.1. General provisions... 8 1.1.1. Model of an absolutely rigid body... 9 1.1.2. Force and projection of force onto the axis.
4 ADDITIONAL REQUIREMENTS FOR THE DESIGN OF I-TEE ELEMENTS WITH CORRUGATED WALL 4.. General recommendations 4.. In elements of complex I-section to increase their durability and
Snip 2-23-81 steel structures download pdf >>>
Snip 2-23-81 steel structures download pdf >>> Snip 2-23-81 steel structures download pdf Snip 2-23-81 steel structures download pdf Bolts of accuracy class A should be used for connections in
Snip 2-23-81 steel structures download pdf >>> Snip 2-23-81 steel structures download pdf Snip 2-23-81 steel structures download pdf Bolts of accuracy class A should be used for connections in
Snip 2-23-81 steel structures download pdf >>> Snip 2-23-81 steel structures download pdf Snip 2-23-81 steel structures download pdf Bolts of accuracy class A should be used for connections in
Snip 2-23-81 steel structures download pdf >>> Snip 2-23-81 steel structures download pdf Snip 2-23-81 steel structures download pdf Bolts of accuracy class A should be used for connections in
Lecture 9 (continued) Examples of solutions for the stability of compressed rods and problems for independent decision Selection of the cross section of a centrally compressed rod from the stability condition Example 1 Rod shown
Report 5855-1707-8333-0815 Calculation of the strength and stability of a steel rod according to SNiP II-3-81* This document compiled on the basis of a report on a calculation carried out by the user admin metal element
METHODOLOGICAL INSTRUCTIONS 1 TOPIC Introduction. Safety briefing. Incoming control. INTRODUCTION TO PRACTICAL LESSONS IN THE APPLIED MECHANICS COURSE. INSTRUCTIONS ON FIRE AND ELECTRICAL SAFETY.
6th semester General stability of metal beams Metal beams, not secured in the perpendicular direction or weakly secured, under the influence of a load they can lose their shape stability. Let's consider
Page 1 of 15 Certification testing in the field of vocational education Specialty: 170105.65 Fuses and control systems for weapons Discipline: Mechanics (Strength of materials)
MINISTRY OF EDUCATION AND SCIENCE OF THE RUSSIAN FEDERATION Federal State Budgetary Educational Institution of Higher Education "NATIONAL RESEARCH MOSCOW STATE CONSTRUCTION
MINISTRY OF EDUCATION AND SCIENCE OF THE RUSSIAN FEDERATION Federal state budgetary educational institution of higher professional education "ULYANOVSK STATE TECHNICAL UNIVERSITY"
UDC 640 Comparison of methods for determining deflections of reinforced concrete beams of variable cross-section Vrublevsky PS (Scientific supervisor Shcherbak SB) Belarusian National Technical University Minsk Belarus V
5. Calculation of a cantilever-type frame To ensure spatial rigidity, the frames of rotary cranes are usually made of two parallel trusses connected to each other, where possible, by strips. More often
1 2 3 CONTENT OF THE WORK PROGRAM 1. GOALS AND OBJECTIVES OF THE DISCIPLINE “WOOD AND PLASTIC STRUCTURES” AND ITS PLACE IN THE EDUCATIONAL PROCESS The discipline “Wood and Plastic Structures” is one of the major
Ministry of Education and Science of the Russian Federation St. Petersburg State University of Architecture and Civil Engineering Faculty of Civil Engineering Department of Metal Structures and Testing of Structures
BUILDING STANDARDS AND RULES SNiP II-25-80 Wooden structures Date of introduction 1982-01-01 DEVELOPED BY TsNIISK im. Kucherenko of the USSR State Construction Committee with the participation of TsNIIPromzdanii of the USSR State Construction Committee, TsNIIEP complexes and buildings
FEDERAL STATE BUDGET EDUCATIONAL INSTITUTION OF HIGHER EDUCATION "ORENBURG STATE AGRICULTURAL UNIVERSITY" Department of "Design and management in technical systems» METHODOLOGICAL
Federal Agency for Railway Transport Ural State University of Railways and Communications Department of Mechanics of Deformable Solids, Foundations and Foundations A. A. Lakhtin CONSTRUCTION
Ministry of Education of the Russian Federation
Yaroslavl State Technical University
Faculty of Architecture and Construction
examples of calculation of wooden structures
Tutorialin the discipline “Structures made of wood and plastics”
for specialty students
290300 “Industrial and civil construction”
correspondence courses
Yaroslavl 2007
UDC 624.15
MP ________. Structures made of wood and plastics: Methodological manual for correspondence students of specialty 290300 “Industrial and civil construction” / Compiled by: V.A. Bekenev, D.S. Dekhterev; YAGTU.- Yaroslavl, 2007.- __ p.
Calculations of the main types of wooden structures are given. The basics of design and manufacture of structures made of wood are outlined, taking into account the requirements of new regulatory documents. Described design features and the basics of calculation of solid, through wooden structures.
Recommended for students of 3-5 years of specialty 290300 “Industrial and Civil Engineering”, part-time courses, as well as other specialties studying the course “Structures made of wood and plastics”.
Il. 77. Table. 15. Bibliography 9 titles
Reviewers:
© Yaroslavl State
Technical University, 2007
INTRODUCTION
The present methodological instructions developed in accordance with SNiP II-25-80 “Wooden structures”. It provides theoretical information, as well as recommendations for the design and calculation of wooden structures, necessary for preparing for the exam for students of the specialty “Industrial and Civil Engineering”.
The purpose of studying the course “Structures made of wood and plastics” is for the future specialist to acquire knowledge in the field of application in the construction of wooden structures, the use of calculation methods, design and quality control of structures various types, knew how to examine the condition of structures, calculate and control load-bearing enclosing structures, taking into account the technology of their manufacture.
1. CALCULATION AND CONSTRUCTION OF ASBESTOS-CEMENT PLATE WITH WOODEN FRAME
An example of calculating an asbestos-cement covering slab.
It is required to design an asbestos-cement insulated roof slab for an agricultural building under roll roofing with a slope of 0.1. Step load-bearing structures the frame is 6 m. The building is located in the III snow region.
1. Choosing a design solution for the slab.
Asbestos-cement slabs with a wooden frame are produced in lengths of 3 - 6 m, widths of 1 - 1.5 m, respectively. They are intended for combined roofless roofs, mainly one-story industrial buildings with a roof made of roll materials with external water drainage.
We accept a slab measuring 1.5x6 m for the top and bottom skins, we take 5 sheets each measuring 1500x1200 mm. We accept the joining of the sheathing sheets end-to-end. The upper compressed skin is set to thickness δ 1 = 10 mm as the most loaded, the bottom stretched - thickness δ 2 =8 mm. The volumetric mass of the sheets is 1750 kg/m3.
As fasteners we use galvanized steel screws with a diameter d=5 mm and length 40 mm with countersunk head. The distances between their axes are at least 30 d(Where d- diameter of a screw, bolt or rivet), but not less than 120 mm, and not more than 30 δ (Where δ – thickness of asbestos-cement sheathing). The distance from the axis of the screw, bolt or rivet to the edge of the asbestos-cement sheathing must be at least 4 d and no more than 10 d.
The width of the slabs along the upper and lower surfaces is taken to be 1490 mm with a gap between the slabs of 10 mm. In the longitudinal direction, the gap between the slabs is 20 mm, which corresponds to the structural length of the slab of 5980 mm. The longitudinal joint between the slabs is made using quarter-shaped wooden blocks, nailed to the longitudinal edges of the slabs. Before laying the roofing felt carpet, the gap formed between the slabs is sealed with heat-insulating material (mipora, poroizol, polyethylene foam, etc.), and wooden blocks, forming the joint, are connected with nails with a diameter of 4 mm with a pitch of 300 mm.
The frame of the slabs is made of grade 2 pine wood, with a density of 500 kg/m3. The length of the supporting part of the slabs is determined by calculation, but at least 4 cm is provided.
Calculated bending resistance of asbestos cement R i.a=16MPa.
The elastic moduli of wood and asbestos cement, respectively, are E g=10000 MPa, E a=10000 MPa.
Design resistance of asbestos cement to compression R c.a=22.5 MPa.
Calculated bending resistance of asbestos cement across the sheet Rwt.A=14 MPa.
Calculated bending resistance of pine wood R i.d.=13 MPa.
For frame slabs, mineral wool or glass wool insulation with a synthetic binder, as well as other heat-insulating materials, are used. In this case we use hard mineral wool slabs on a synthetic binder in accordance with GOST 22950-95 with a density of 175 kg/m 3. Thermal insulation boards glued to the bottom trim asbestos-cement slabs on a layer of bitumen, which simultaneously acts as a vapor barrier. The thickness of the insulation is assumed to be structurally equal to 50 mm.
Calculation of wooden structures should be done:
- on load-bearing capacity (strength, stability) for all structures;
- on deformations for structures in which the magnitude of deformations may limit the possibility of their operation.
Calculation of bearing capacity should be carried out under the influence of design loads.
Calculation of deformations should be carried out under the influence of standard loads.
Deformations (deflections) of bending elements should not exceed the values given in table. 37.
Table 37. Limit deformations (deflections) of bending elements
Note. If there is plaster, the deflection of the floor elements is only from payload should not be more than 1/350 of the span.
Centrally stretched elements
Calculation of centrally stretched elements is carried out according to the formula:
where N is the calculated longitudinal force,
mр - coefficient of operating conditions of the element in tension, accepted: for elements that do not have weakening in the design section, mр = 1.0; for elements with weakening, mр = 0.8;
Rp is the calculated tensile strength of wood along the grain,
Fnt is the net area of the cross-section under consideration: when determining Fnt, weakenings located in a section 20 cm long are taken to be combined in one section. Centrally compressed elements. Calculation of centrally compressed elements is carried out according to the formulas: for strength
for sustainability
where mс is the coefficient of operating conditions of compression elements, taken equal to unity,
Rc is the calculated resistance of wood to compression along the grain,
The buckling coefficient, determined from the graph (Fig. 4),
Fnt - net cross-sectional area of the element, Fcalc - calculated cross-sectional area for stability calculations accepted:
1) in the absence of weakening: Fcalc=Fbr;
2) for weakening that does not extend to the edge - Fcalc = Fbr, if the area of the weakening does not exceed 25% of Fbr and Fcalc = 4/3Fnt, if their area exceeds 25% of Fbr;
3) with symmetrical weakening facing the edge: Fcalc=Fnt
Flexibility? solid elements is determined by the formula:
Note. For asymmetrical weakening extending to the ribs, the elements are calculated as eccentrically compressed.
Figure 4. Graph of buckling coefficientswhere Io is the estimated length of the element,
r - radius of inertia of the element’s section, determined by the formula:
l6p and F6p are the moment of inertia and gross cross-sectional area of the element.
The estimated length of the element l0 is determined by multiplying its actual length by the coefficient:
with both hinged ends - 1.0; with one end pinched and the other freely loaded - 2.0;
with one end pinched and the other hinged - 0.8;
with both ends pinched - 0.65.
Bendable elements
Calculation of bending elements for strength is carried out according to the formula:
where M is the design bending moment;
mi - coefficient of operating conditions of the element for bending; Ri is the design bending resistance of wood,
Wnt is the net moment of resistance of the cross section under consideration.
The coefficient of operating conditions for bending elements mi is accepted: for boards, bars and beams with cross-sectional dimensions of less than 15 cm and glued elements of rectangular cross-section mi = 1.0; for beams with side dimensions of 15 cm or more, with the ratio of the height of the element’s section to its width h/b? 3.5 - mi = 1.15
Calculation of solid cross-section elements for strength during oblique bending is carried out according to the formula:
where Mx, My are the components of the design bending moment, respectively, for the main axes x and y
mi - coefficient of operating conditions of the element for bending;
Wx, Wy are the net moments of resistance of the cross section under consideration for the x and y axes. Eccentrically extended and extracentrically compressed elements. Calculation of eccentrically stretched elements is carried out according to the formula:
Calculation of eccentrically compressed elements is carried out according to the formula:
where? is a coefficient (valid in the range from 1 to 0), taking into account the additional moment from the longitudinal force N during deformation of the element, determined by the formula;
At low bending stresses M/Wbr, not exceeding 10% of the stress
stress N/Fbr, eccentrically compressed elements are calculated on
stability according to formula N where Q is the calculated shear force; mck=1 - coefficient of operating conditions of a solid element for chipping during bending; Rck is the calculated resistance of wood to chipping along the grain; Ibr is the gross moment of inertia of the section under consideration; Sbr is the gross static moment of the shifted part of the section relative to the neutral axis; b - section width. Calculating a wooden floor is one of the easiest tasks, and not only because wood is one of the lightest building materials. Why this is so, we will find out very soon. But I’ll say right away that if you are interested in classical calculation, in accordance with the requirements of regulatory documents, then you here
. When building or repairing a wooden house, using metal, and even more so reinforced concrete floor beams is somehow out of the question. If the house is wooden, then it is logical to make the floor beams wooden. It’s just that you can’t tell by eye what kind of timber can be used for floor beams and what kind of span should be made between the beams. To answer these questions, you need to know exactly the distance between the supporting walls and at least approximately the load on the floor. It is clear that the distances between the walls are different, and the load on the floor can also be very different. It’s one thing to calculate the floor if there is a non-residential attic on top, and a completely different thing to calculate the floor for the room in which partitions will be built in the future. cast iron bathtub, bronze toilet and much more. Wooden structures The construction process of any scale involves not only the use of high-quality building materials, but also compliance with rules and regulations. Only strict adherence to the instructions and established standards will give the best result in the form of a strong, reliable and durable structure. A special place in the construction industry is occupied by such material as wood. In ancient times, the first settlements and cities were built from wood raw materials. In the modern construction industry, wood does not lose its relevance and is actively used for the construction of complex structures. Due to the fact that there are a colossal number of types of wood material, there are a number of requirements for the selection, calculation and protection of such structures. The most current edition of the set of norms and rules is (SNiP) 11 25 80. Why a tree? The thing is that natural material is distinguished by natural aesthetics, high manufacturability and low specific gravity, which are its indisputable advantages. That is why many structures are made of wood. What is SNiP? Any design has certain characteristics, indicators of mechanical strength and resistance to various factors, which is the basis for design activities and technical calculations. All work is carried out in accordance with the requirements of SNiP. Construction norms and rules (SNiP) are a set of strict regulatory requirements in legal, technical and economic aspects. With their help, construction activities, architectural and design surveys, and engineering activities are regulated. A standardized system was created in 1929. The evolution of the adoption of rules and regulations is as follows: In the USSR, such standards represented not only consolidated technical requirements, but also legal norms separating the duties, rights and responsibilities of the main actors in a construction project: the engineer and the architect. After 2003, only some norms and requirements that are within the framework of the law “On the technical regulations of the set of rules” are subject to mandatory execution. With the help of SNiP, the most important standardization process is launched, which optimizes the efficiency and effectiveness of construction. The updated version of SNiP, which today is used in the construction industry for design work, calculations and construction of wooden structures, is SNiP 11 25 80. The contractors for this project were employees of the Institute “National Research Center Construction”. The set of requirements was officially approved on December 28, 2010 by the Ministry of Regional Development. It came into force only on May 20, 2011. All changes occurring in the rules and standardization are clearly illustrated by the updated edition, which is published annually in the specialized information publication “National Standards”. Original wooden structure Like any consolidated regulatory document developed to regulate a particular activity, SNiP 11 25 80 contains basic provisions. Installation of wooden elements Here are some of them:
Important! All rules and regulations do not apply to the construction of temporary structures, hydraulic structures or bridges. These are just general provisions of the set of norms and rules of the updated edition, which should guide everyone, be it industrial or individual construction. Spatial structure made of wood But not only the design and construction of a building is regulated by a set of rules and regulations. The current edition of SNiP describes in detail aspects of the selection of raw materials for certain purposes. Everything is important: the operating conditions of the wooden structure, the quality of the protective treatment, the aggressiveness of the environment, and the functional purpose of each component. Dry edged boards SNiP 11 25 80 describes in detail all possible situations and standards for the selection of materials. Let's consider the main points:
Important! To create power line supports, the edition of SNiP 11 25 80 implies the use of larch or pine. In some cases, spruce or fir wood is used. Why conifers? It's not just their low cost. The presence of resins in large quantities provides wood bases with a reliable barrier against rotting no worse than specialized impregnations and antiseptics. Edged board made of pine needles The choice of synthetic adhesive depends on the operating conditions and the type of wood for the structures. Building a house from large logs In addition to general operational requirements, temperature and humidity are also important. The set of rules 11 25 80 clearly states the following standards for various operating conditions of wooden structures: The totality of all provisions in the “Materials” section of edition 11 25 80 must be taken into account without fail. The correct choice of lumber, as well as auxiliary components, determines the durability and strength of the structure. Aspen lumber The latest current edition of SNiP 11 25 80 is an effective and informative guide to creating strong and durable structures from various types of wood. Beams from different types of wood One of the main points of choice is the compliance of all kinds of wood species with the list of required resistance characteristics. The main indicators are as follows:
Main wood species When choosing wood to create a structure, you should know the subgroups of species: Dry oak board Important! For each type of wood, the optimal performance is individual. All calculations are performed at the design stage of the structure. To avoid a large error, and to ensure that the figures are as close as possible to the real ones, it is necessary to use the formulas provided by the updated edition of SNiP 11 25 80. To obtain the desired value, you need to multiply the individual wood indicator by the coefficient of operating conditions for the structure. The operating conditions coefficient depends on many factors: air temperature, humidity level, presence of aggressive environments, duration of variable and constant loads, installation specifics. The use of laminated construction plywood also requires compliance with established standards and regulations. When calculating, the following indicators relative to the plane of the sheet are taken into account: All indicators depend on the type of wood that is the basis of the plywood sheet, as well as on the number of layers. In addition to the main indicators, there is one more that is important when designing a wooden structure. This is density. This value is very unstable and can change even on the scale of one tree species. Why is it important to measure density? It is this that will determine the weight of the resulting structure as a result of construction work. The density of wood is influenced by several factors, such as the age of the tree, moisture content. To achieve optimal density, a technique such as drying is used. Depending on the individual density, wood can be divided into light, medium and heavy. The lightest is considered to be pine, poplar and linden. Species with medium density include elm, beech, ash, and birch. The densest ones include oak, hornbeam or maple. As the density increases, its mechanical properties will change: the denser the material, the stronger it is in tension and compression. Updated edition of SNiP II-25-80 The choice of glue for a particular wood species is of decisive importance. The strength of the structure, reliability and durability of operation without the slightest sign of deformation depend on this. Wood glue According to the edition of SNiP 11 25 80, the following types of glue are used:
When choosing an adhesive for a wooden structure, you should rely on generally accepted standards and recommendations set out in the edition of SNiP 11 25 80. Wood glue
Adhesive bonding is one of the most progressive and reliable methods. This type of connection works well for chipping and allows you to easily cover spans of more than 100 m. Wooden structures glued together from many small elements have a number of advantages over solid timber. But in order to implement the project and achieve maximum strength and effectiveness, all technical conditions must be strictly observed. Today, such production is usually mechanized and automated. Glued laminated timber What are the advantages of laminated wood for creating reliable structures?
The choice of high-quality glue for making connections is the basis for the strength and durability of wooden structures in construction. Humidity is of decisive importance. Laminated wood Important! The drier and thinner each adhesive structural element is, the less likely it is for cracks to form. Insufficiently dried wood can lead to divergence of the adhesive seam during operation. Externally, laminated wood does not differ from solid wood, so the natural aesthetics are preserved. This type of structure is not only stronger and more durable. But it also creates a unique aura of warmth and comfort, which is so important in building a comfortable family nest. Nodal connection of laminated timber Reliable protection of wooden structures from destruction is the key to a long service life. Today, many catastrophic situations can be prevented by promptly conducting high-quality and comprehensive “therapy.” The current edition of SNiP 11 25 80 implies the protection of wooden structures, as they say, “on all fronts,” since wood is a material gifted to us by nature, it is quite natural that aggressive external influences can lead to biological destruction and deformation. To install a reliable barrier, you need to be able to choose and use specialized tools correctly. There are many methods of protection: surface treatment, impregnation, diffuse coating and even chemical preservation. Protecting wood from moisture In addition to processing activities, attention should be paid to: The easiest to use and effective means that have proven their effectiveness in practice are antiseptics. Protecting wood with antiseptic The edition of SNiP 11 25 80 defines the following classification: Wood varnishing The choice of antiseptic is determined by the main functional purpose of the wooden structure.According to the method of use, they are divided into two conditional groups: Before carrying out antiseptic measures, experts recommend carrying out additional disinfection so that the protection of structures is carried out impeccably and meets all requirements. How to choose an antiseptic for wood
As you know, wood is a material that, under certain conditions, is easily flammable. To improve the fire safety characteristics of wooden building elements, high-quality fire protection must be provided. There are several types of special coatings for this: Fire protection of building structures Chemicals in the form of pastes, impregnations, coatings are used, as a rule, for those wooden structures that are protected from the direct influence of the atmosphere. They are applied in two layers, maintaining an interval of 12 hours between them. Coating is used to cover structural elements that do not require painting: rafters, purlins and the like. The protection can be applied to the surface and deeply impregnate wooden elements, giving the structure fire-resistant properties. Fire protection for wood One of the most popular and effective means is flame retardant impregnation. Fire retardants are substances that prevent ignition and prevent flames from spreading over a surface. In addition, protection is used in the form of special organosilicate paints or perchlorovinyl enamel. The most durable protection against fire is a combination of impregnation of the structure with subsequent painting. Fire protection
The current information contained in the updated edition of SNiP 11 25 80 serves as a guide for both beginners in construction and experienced professionals.The basics of design and creation of wooden multi-component structures, which are set out in edition 11 25 80, are as follows: Important! Glued beams need to be assembled only in the vertical direction of the boards. Horizontal arrangement is allowed only when assembling box beams. Wooden structures The requirements established by the current edition of the rules and regulations 11 25 80 must be strictly followed. Thus, a reliable and durable basis for the structure of any functional purpose is obtained. Multi-component wooden structures The finished structure is subject to certain requirements, which are regulated by SNiP 11 25 80. Wooden house made of timber In accordance with established rules and regulations, the following must be ensured:
Wooden house Organizational, design and construction work must be carried out in a complex, strictly following the established standards and rules for the construction of wooden structures. There are many factors to consider. which will ultimately determine the service life of the structure, its strength and reliability. To obtain the optimal result, it is necessary to follow all established norms and rules, as well as follow updates in the edition of SNiP 11 25 80. Multi-component wooden ceiling structureCalculation of wooden floors
General provisions
Material selection
Temperature and humidity conditions Characteristics of operating conditions Wood moisture limit %
Laminated wood Unlaminated wood
In rooms that are heated, t up to 35 degrees relative humidity
A 1 Less than 60% 9
20
A 2 More than 60 and up to 75% 12
20
A 2 More than 60 and up to 75% 12
20
A 3 More than 75 and up to 95% 15
20
Inside unheated rooms
B 1 In the dry zone 9
20
B 2 In the normal zone 12
20
B 3 In a dry or normal area with constant humidity less than 75% 15
25
On open air
IN 1
In dry areas 9
20
AT 2 In normal zones 12
20
AT 3 In wet areas 15
25
In terms of buildings and structures
G 1 In contact with the ground or in the ground -
25
G 2 Constantly moisturized -
Not limited
G 3 In the water -
Also
Design characteristics
Correct adhesive connection of structures
Laminated wood or regular wood?
Protection from destruction and fire
Fire protection
Design Basics
General requirements