TGPSC HMWSSB Manager 2015 Paper 2 · Question 123
Question 123 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.
For a member subjected to loads on its span, equivalent joint loads are determined in such a way that ______.
- The member end actions caused by equivalent joint loads are same as those caused by loads on the member.
- The equivalent joint loads cause same set of nodal displacements as caused by the member loads.
- The equivalent joint loads together with member loads ensure the equilibrium of the structure.
- The equivalent joint loads together with member loads ensure the compatibility of displacements for the structure.
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Answer: (1) The member end actions caused by equivalent joint loads are same as those caused by loads on the member.
Equivalent joint loads are obtained by reversing the fixed-end actions that the span loads produce at the member ends, so they stand in at the joints for the end actions of the member loads, which is the reasoning of the keyed option. Standard matrix-analysis texts, however, define them as joint loads that produce the same joint (nodal) displacements as the actual member loads, with final end actions = fixed-end actions + actions due to the equivalent joint loads. (Official final key; some sources differ.)