CLO 2: It is the combined stress at the top fiber of a beam subjected to axial compression and positive bending. O +P/A- Mc/ O P/A+Mc/I O P/A Mc/l O P/A-Mc/I

H.W 3 Two aluminum alloy plates (2) are attached to the sides of a wooden beam (1) as shown in Figure 3. mensions of the composite cross section are b1 = 80 mm, d¡ = 240 mm, b2 = 10 mm, d2 = b2 The di- |di 120 mm, and a = 60 mm. Deter- (2) (2) %3D mine the maximum bending (1) a stresses produced in both the wooden beam and the aluminum b1 plates if a bending moment FIGURE 3 +6,000 N m is applied M2 %3D about the z axis. Assume that Ej = 12.5 GPa and E2 = 70 GPa.

3) The rigid link is supported by steel wire (1) with an unstretched length of 200 mm and cross-sectional area of 22.5 mm?. Member (2) is a short aluminum of initial length 50 mm and cross-sectional area of 40 mm?. The modulus of elasticity of the steel wire is 200 GPa and the aluminum block is 70 GPa. a) Draw the deflected shape of the rigid member and clearly label the deformation of members (1) and (2). b) Write the equilibrium and compatibility equations needed to solve the problem along with the supporting sketches. Hint: Be sure to carefully consider if the members are elongating or shortening; this must be represented mathematically. c) Calculate the internal forces in both axial members and clearly indicate tension or compression. [Ans. to Check: F2 = 535 N]

The composite beam is made of steel (A) bonded to brass (B) and has the cross section shown. It is subjected to a moment of M = 6.3 kN?m .Ebr = 100 GPa, Est = 200 GPa A: Determine the maximum bending stress in the brass. B:Determine the maximum bending stress in the steel. C: Determine the stress in the brass at the seam where the brass and steel are bonded together. D:Determine the stress in the steel at the seam where the brass and steel are bonded together. B M 175 mm 150 mm 200 mm