2.6-22 A compression bar having a square cross section with sides b = 50 mm is subjected to load P. The bar is constructed from two pieces of wood that are connected by a glued joint along plane pq that is inclined at angle a = 35°. The allowable stress in the wood in compression is 11.5 MPa and in shear is 4.5 MPa. Also, the allowable stress in the glued joint in compression is 3.5 MPa and in shear is 1.25 MPa. Determine the maximum load P that can be applied to the bar.
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- A piece of wood with a triangular cross section contains a rubberized joint to aangle θ with the vertical. The stress that the wood resists in tension is 20 MPa, the rubber resists10 MPa in tension and 12 MPa in shear. If θ = 60, determine the maximum load P.A rectangular beam which is limited to 350 mm by 650 mm is reinforced at the compression side with As’ = 1,000 mm2and on the tension side As = 4,000 mm2. The beam has an effective depth of 510 mm and its neutral axis is located at 127.84 mm below the top of the beam. Assume steel in tension yields but that in compression does not yield. F’c = 35 MPa, β = 0.81, fy = 400 MPa. Steel covering on top is 50 mm. Determine stress of steel in compression. Determine the depth of compression stress block. Determine the moment capacity of the beam.A cantilever timber beam (FIGURE A) with a span of L= 13.8 ft supports a linearly distributed load with maximum intensity of w0. The beam width is b= 15.00 in. and the beam height is h= 9.75 in. (Figure B). The allowable bending stress of the wood is 1100 psi. Calculate the magnitude of the maximum load w0 that may be carried by the beam. Part 1 Determine the section modulus for the rectangular cross-section about the horizontal centroidal axis. S= in.3 Part 2 Determine the maximum magnitude allowable internal moment. Since you’re entering the magnitude, enter a positive value. Mallow= lb⋅ft Part 3 Calculate the maximum internal moment magnitude at any location along the beam in terms of w0. In the input field, enter the numerical value of the coefficient of w0 when the maximum moment is written as a function of w0. Input the value assuming the moment has units of lb⋅ft and w0 has units of lb/ft. Since you’re entering a…
- 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 rectangular beam which is limited to 350 mm by 650 mm is reinforced at the compression side with As’ = 1,000 mm2 and on the tension side As = 4,000 mm2. The beam has an effective depth of 510 mm and its neutral axis is located at 127.84 mm below the top of the beam. Assume steel in tension yields but that in compression does not yield. F’c = 35 MPa, β = 0.81, fy = 400 MPa. Steel covering on top is 50 mm. (a) Determine stress of steel in compression. (b) Determine the depth of compression stress block. (c) Determine the moment capacity of the beam.A 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…
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