(c) If the cross-section of the beam is the composite section shown below, determine the maximum stress in the steel and in the wood (Ewood = 2000 ksi, Esal = 29000 ksi). steel wood wood j0 in. 3 in. 3 in fin
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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 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.Since the safe normal stress of the wood used for the beam and loading condition shown in the figure is 12 MPa, determine the optimum cross-section height of the beam (mm).
- 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 compression bar having a square crosssection with sides b 5 50 mm is subjected to load P.The bar is constructed from two pieces of wood thatare connected by a glued joint along plane pq thatis inclined at angle a 5 8 35 . The allowable stress inthe wood in compression is 11.5 MPa and in shear is4.5 MPa. Also, the allowable stress in the glued jointin compression is 3.5 MPa and in shear is 1.25 MPa.Determine the maximum load P that can be appliedto the bar.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.
- 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.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 | JakrtalA composite beam is made of two brass (E =110GPa) to two aluminum bars (E = 70GPa), as shown. The beam is subjected to a bending moment of 380 N-m acting about the z-axis. Using a = 5mm, b = 40mm, c = 10mm, and d = 25mm. Calculate: a) the maximum bending stress in the aluminum bars b) the maximum bending stress in the brass bars
- The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC, and CD are AAB = 0.08 in², ABC = 0.11 in², and Acp = 0.06 in², respectively. The modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C.Compute for the moments of inertia of the composite figure with respect to the following: a. x2 b. y1 c. centroidal axisA 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)