Show transcribed image text Problem 2. A beam of rectangular cross section has sudden changes in side dimension from 2d to d and in Young modulus from E1 to E2 at position B as shown in Fig. 1. It is fixed at one end (position A) and loaded by a bending moment M at the other end (position C). The length between A and B is L1 and between B and C is L2. The deformation in the beam is linearly elastic. i) Find the deflections of VB and VC at positions B and C, respectively, in terms of M, d, L1, L2, E1, and E2. ii) If the ratio L1/L2 = 2, what should the ratio E1/E2 be for the segments AB and BC to have the same deflection, i.e. vc = 2 VB? iii) Plot the normal stress distribution along the vertical direction on two cross sections, one in segment AB and the other in segment BC. iv) For the E1/E2 that satisfies the condition in ii), compare the maximum normal stresses on the two cross sections in iii).
Do you need a similar assignment done for you from scratch? We have qualified writers to help you. We assure you an A+ quality paper that is free from plagiarism. Order now for an Amazing Discount!
ACADEMIC WRITERS DEN(AWD)
Our mission is to promote academic success by providing students with superior research and writing, produced by exceptional writers and editors.
1818 N Vermont Ave
Los Angeles, CA, United States