In an otherwise symmetrical portal frame with one end fixed and the other end hinged, the hinged, the hinge support sinks by an amount Δ. The fixed end bending moment induced at fixed end of the horizontal member of the frame due to the sinking of the support will be (given that ‘L’ is the length of the members and EI is the flexural stiffness)

\(\frac{{3EI{\rm{\Delta }}}}{{{L^2}}}\)

\(\frac{{4EI{\rm{\Delta }}}}{{{L^2}}}\)

\(\frac{{2EI{\rm{\Delta }}}}{{{L^2}}}\)

\(\frac{{6EI{\rm{\Delta }}}}{{{L^2}}}\)

In an otherwise symmetrical portal frame with one end fixed and the ot

1.	In an otherwise symmetrical portal frame with one end fixed and the other end hinged, the hinged, the hinge support sinks by an amount Δ. The fixed end bending moment induced at fixed end of the horizontal member of the frame due to the sinking of the support will be (given that ‘L’ is the length of the members and EI is the flexural stiffness)
A.	\(\frac{{3EI{\rm{\Delta }}}}{{{L^2}}}\)
B.	\(\frac{{4EI{\rm{\Delta }}}}{{{L^2}}}\)
C.	\(\frac{{2EI{\rm{\Delta }}}}{{{L^2}}}\)
D.	\(\frac{{6EI{\rm{\Delta }}}}{{{L^2}}}\)
Answer» E.

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