= 40 GPa) and (Ew The beam shown carries load as shown, determine the actual stress of wood = 200 GPa) part of the composite beam. steel (Es 50 kN 50 mm 10 kN/m 8 mm steel wood 2 m 3 m 200 тm 200 mm
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- Two steel plates, each 4 in. wide and 0.25 in. thick, reinforce a wood beam that is 3 in. wide and 8 in. deep. The steel plates are attached to the vertical sides of the wood in a position such that the composite shape is symmetric about the z-axis, as shown in the figure. Determine the maximum bending stress produced in both the wood and the steel if a bending moment of Mz = +50 kip-in is applied about the z-axis. Assume Ewood = 2000 ksi and Esteel = 30000 ksi.A simply supported wood beam with a span of L = 15 ft supports a uniformly distributed load of w = 320 lb/ft. The allowable bending stress of the wood is 1,200 psi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 2.0, calculate the following: 4. Calculate the required section modulus S considering the allowable bending stress of the wood in in^3. 5. Calculate the minimum allowable beam width in inches.A pair of wood components having a dimension of 100mm X 100mm is joined by means of glue as shown. Determine the maximum axial load F, that most nearly can be subject to the woodpost without exceeding a maximum shear stress of 1650 KPa parallel to the cross section in kN.
- A composite beam is made of steel (Est = 300 GPa)and wood (Ew = 15 GPa) materials as shown in Figure 3. The beam is subjected to a positive bending moment (about z-axis from bottom to top) of 60 kN.m. Determine the followings:a) The transformation factor, n. b) The width of steel part transformed to wood and draw the transformedsection. c) The distances h1 and h2. d) Moment of inertia, I of the transformed section. e) The largest tensile and compressive stresses in the wood material. f) The maximum and minimum tensile stresses in the steel material.UPVOTE will be given! Please write the solutions completely and legiby. Box the final answer. Answer in 3 decimal places! Strength of Materials The assembly shown is made up of T-shape steel and two wood as shown. A bending moment M is applied to the composite beam. Given: Es = 200 GPa Ew = 25 GPa M = 90 kN.M h = 200 mm a. Calculate the distance of the centroid from the bottom of the beam in mm. b. Calculate the absolute maximum stress in the wood in MPa.A cantilever wood beam with a span of L = 3.6 m supports a linearly distributed load with maximum intensity of w0. The beam width is b = 240 mm, and the beam height is h = 180 mm. The allowable bending stress of the wood is 7.6 MPa. Calculate the following: 1. Calculate the moment of inertia in mm^4. 2. Calculate the maximum allowable moment considering the allowable bending stress in N.m. 3. Calculate the magnitude of the maximum load w that may be carried by the beam in kN/m.
- A 5 ft. long laminated wood beam is built up by gluing together three 2” x 6” boards to form asolid beam 6” x 6” cross section, as shown in the figure. Calculate the maximum allowable valueof P (lb.) such that both the (1) allowable shear stress in the glued joints of 100 psi and the (2)allowable bending stress of 1200 psi is not exceeded. (Disregard the weight of the beam).[Formula: Bending Stress: = (M)(y)/I; max = (M)(c)/I; Transverse Shear Stress: =(V)(Q)/(I*t); max = (V)(QNA)/(I*tNA)]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)QU A composite beam is fabricated by bonding a steel bar and a brass bar and is subjected to the bending moment M = 200 N-m. Determine the maximum bending stress in the brass and steel. Given: E, =200 GPa, E, = 100 GPa Brass 20 }o | Jakrtal
- The piece of wood, 100 mm by 100 mm in cross-section, contains a glued joint inclined at the angle Ɵ to the vertical. The working stresses are 20 MPa for wood in tension, 8 MPa for glue in tension, and 12 MPa for glue in shear. If Ɵ=50°, determine the largest allowable force P.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.The composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions 150 mm 250 mm and two brass plates of cross-sectional dimensions 30 mm 150 mm. (a) Determine the maximum stresses B and w in the brass and wood, respectively, if the moduli of elasticity are EB 96 GPa and Ew 14 GPa. (Disregard the weight of the beam.) (b) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values, saB 70 MPa and saw 8.5 MPa, simultaneously under the maximum moment. What is the maximum moment?