1. A beam is made of a material that has a modulus of elasticity in compression different from that given for tension (a

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1 A Beam Is Made Of A Material That Has A Modulus Of Elasticity In Compression Different From That Given For Tension A 1 (98.08 KiB) Viewed 17 times

1. A beam is made of a material that has a modulus of elasticity in compression different from that given for tension (a bimodular material) (see Figure 1). Determine the location c of the neutral axis in Figure 1, and derive the expressions for the maximum tensile and compressive stresses in the beam having the dimensions shown if it is subjected to the bending moment M. M E, --- E Figure 1. A beam made of bimodular material (Hint: Apply the three principles on Mechanics of Materials learned in this class to solve this problem: (1) Continuity (compatibility) condition for the beam under bending, i.e., the plane section remains plane after bending (the tension and compression strain triangles are similar to each other); (2) Constitutive (Hooke's) law, i.e., compute the stress in the terms of strain and Young's modulus; and (3) Equilibrium equations, i.e., Using the equilibrium equations to compute the location of neutral axis (Fx = 0) and establish the stress vs. moment relationship (MNA = 0)). =