Reconsider the beam of Problem 5.23 and determine the displacements and support reactions when subjected to a temperature distribution varying over the crosssection and constant along the member...

Reconsider the beam of Problem 5.23 and determine the displacements and support reactions when subjected to a temperature distribution varying over the crosssection and constant along the member length. Assume the cross-section to have constant properties described by area A, second moment of area I, elastic modulus E and thermal expansion coefficient

Problem 5.23

Determine the expressions for the deflection and axial displacement for the following three cases: (i) unit displacement of B in the positive direction of x, (ii) unit displacement of B in the positive direction of y and (iii) unit anti-clockwise rotation at B. For each case, calculate the support reactions induced by the enforced displacement. Assume A, I and E are constant throughout