Using only the review of The three concepts of internal and external force equilibrium, compatibility conditions...

         

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Using only the review of The three concepts of internal and external force equilibrium, compatibility conditions of strain-displacement, and stress-strain constitutive relationship derive the Flexural Equations relating a) Moment-flexural stress-Curvature relationships, Show the derivation of 1 =1/12bd^3 2. Use the results of part 1,a, rework the problem by using a different stress-strain relationship. Assume that the material has its Young's Modulus Ec in compression and Et in tension. Define the stiffness ratio as a constant a. Derive an expression that relates the applied bending moment to the stress. Compute the location of Neutral axis as a function of a. Consider a rectangular cross section, b units wide, and h units deep. Show that the expression reduces to o= + My/l for the special case where, Ec=Et * b 1. h LO Using only the review of The three concepts of internal and external force equilibrium, compatibility conditions of strain-displacement, and stress-strain constitutive relationship derive the Flexural Equations relating a) Moment-flexural stress-Curvature relationships, Show the derivation of 1 =1/12bd^3 2. Use the results of part 1,a, rework the problem by using a different stress-strain relationship. Assume that the material has its Young's Modulus Ec in compression and Et in tension. Define the stiffness ratio as a constant a. Derive an expression that relates the applied bending moment to the stress. Compute the location of Neutral axis as a function of a. Consider a rectangular cross section, b units wide, and h units deep. Show that the expression reduces to o= + My/l for the special case where, Ec=Et * b 1. h LO