Question 4 = A 6 KN force is applied at the free end of a wood (E = Fig. Q4. Neglecting the effect of fillets and stress concentration, determine (a) the maximum compressive stress and its location at section A-A; (b) the maximum shearing stress and its location at section A-A; (c) the deflection at section A-A. 6 kN 300 mm 400 mm ΤΑ ΤΑ Fig. Q4 12GPa) beam with dimensions given in 96 mm Ti 12 mm 12 mm 48 mm
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- A wood post 12 in. by 12 in. is braced by four steel angles. The wood post and the pieces of angles are exactly the same length of 15 feet. The reinforced post carries a total compressive load of 215 kips. For steel: E = 29 x 10^3 ksi.; Area of one angle= 0.938 sq. in.; for wood: E = 1.9 x 10^3 ksi a. Find the axial stress (in psi) of the steel. b. Find the axial stress (in psi) of the wood. c. Find the axial deformation (in inches) of the post. (Answer profile: 0.XXXX)A timber wall 50 mm wide x 50 mm deep and having a height of 3.50 m is assumed to be hinged at top and bottom. It is subjected to an axial load of 15228 N on the centroid. A uniformly distributed load is also acting along the weaker axis of its entire height. The wall is made up of Apitong wood and stresses are shown in the table (Use 80% stress grade). To be safe, the actual stress should not exceed allowable stress, Given: bending and tension parallel to grain = 16.5 Mpa modulus of elasticity = 7310 Mpa compression parallel to grain = 9.56Mpa compression perpendicular to grain = 2.20 Mpa shear parallel to grain = 1.73 Mpa Determine the following: a. the allowable compressive stress b. the allowable bending stress c. the allowable uniform load "W" it could carry4.17. A rectangular beam made using concrete with f c ′ = 6000 psi and steel with f y = 60,000 psi has a width b = 20 in., an effective depth of d = 17.5 in., and a total depth of h = 20 in. The concrete modulus of rupture f r = 530 psi. The elastic moduli of the concrete and steel are, respectively, E c = 4,030,000 psi and E s = 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars. ( a ) Find the maximum service load moment that can be resisted without stressing the concrete above 0 .45 f c′ or the steel above 0.40 f y . ( b ) Determine whether the beam will crack before reaching the service load. ( c ) Compute the nominal flexural strength of the beam. ( d ) Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.
- A 200 mm × 220 mm timber post is subject to an unknown axial compressive load(F) that is eccentric to both principal axes as shown below. If the axial stress is2.4 MPa then:(a) What is the compressive load?(b) What are the applied moments in the x and y directions?(c) What are the moments of inertia in the x and y directions.(d) At what corner does the maximum stress occur? State whether it is tensile or compressive?` (e) Calculate the maximum stress at the corneA 16 ??–diameter steel rod AB is fitted to a round hole near end C of the wooden member CD. For the loading shown, determine, (a) the distance b for which the average shearing stress is 7??? on the surfaces indicated by the dashed lines, (provide FBD and answer in ??)(b) the average bearing stress on the wood (provide FBD and answer in ???)A simply supported concrete beam 6m long is reinforce with four-28 mm diamgram tension bars. The beam has a width of 300mm and over all depth of 400.the steel covering to the centroid of the renforcement is 70 mm fc=30mpa and fy 418mpa A .draw a stress diagram B.compute for the ultimate capacity of the beam
- Pls help. A laminated wood beam consists of eight 2 in. × 7.00-in. planks glued together to form a section b = 7.00 in. wide by d = 16 in. deep, as shown. If the allowable strength of the glue in shear is 135 psi, determine (a) the maximum uniformly distributed load w that can be applied over the full length of the beam if the beam is simply supported and has a span of L = 21 ft. (b) the shear stress in the glue joint at H, which is located 4 in. above the bottom of the beam and at a distance of x = 76 in. from the left support. Assume that the beam is subjected to the load w determined in part (a). (c) the maximum tension bending stress in the beam when the load of part (a) is applied.•Timber beamSafe working stress = 25 MPaCross-section dimensions:height = 119 mm,width = 66 mmProving ring number 293. Steel beam Safe working stress = 200 MPa Cross-section dimensions:external height = 149 mm,external width = 50 mm,wall thickness = 3.0 mm,Proving ring number 1522.1)Calculate safe max bending moment in the central part of the beam using Mmax = (I)(max stress)/(D/2)2) calculate Safe applied force in the proving ring or tie rod, assuming a symmetrical setup as in the photowith a ‘lever arm’ of 600 mmA 395 mm diameter short concrete post has 6-600 mm² steel bars reinforcing it. E(steel) = 200 GPa , E(conc) = 15 GPa. Assume that the allowable stress to be σ(steel) =160 MPa, σ(conc) = 8 MPa.1. Find the maximum allowable actual stress in steel. a. 203.12 MPab. 154.23 MPac. 106.64 MPad. 95.235 MPa3. Find the maximum allowable load. a. 1335.104 kNb. 1245.120 kNc. 1654.100 kNd. 1323.105 kN
- Two blocks of wood are joined together by a rectangular shear key with dimension b x d in mm. If P = 75 kN and the limiting stresses for bearing and shear of the key are 10 MPa and 6 MPa, respectively, determine the safe dimension of b (in mm).The overhanging beam shown supports the given ultimate load Wu= 5okN/m. The section is 300mm by 500mm rectangular beam having f'c=35MPa, fy=420 MPa, stirrups diameter = 10mm and concrete cover 40mm. a.) Calculate the vertical reaction at B in kN b.) Calcute the vertical reaction D in kN c.) Calculate the area of steel reinforcement corresponding to rho max in mm^2. d.) Calculate the location of the point of zero shear in the beam measured from the left support B in mm. e.) Calculate the maximum positive moment in the beam in kN.m.sA laminated wood beam consists of eight 2.25 in. × 5.25-in. planks glued together to form a section b = 5.25 in. wide by d = 18 in. deep, as shown. If the allowable strength of the glue in shear is 110 psi, determine(a) the maximum uniformly distributed load w that can be applied over the full length of the beam if the beam is simply supported and has a span of L = 18 ft.(b) the shear stress in the glue joint at H, which is located 4.5 in. above the bottom of the beam and at a distance of x = 51 in. from the left support. Assume that the beam is subjected to the load w determined in part (a).(c) the maximum tension bending stress in the beam when the load of part (a) is applied. Determine the maximum allowable shear force in the beam.Answer: Vmax = lb Determine the maximum allowable distributed load, w.Answer: wmax = lb/ft Determine the shear force, V, in the beam at x = 51 in. assuming the beam is subjected to the distributed load wmax…