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Structural Engineering Question on Statically determinate and indeterminate structures by force/ energy methods

The beam shown in the figure is subjected to a uniformly distributed downward load of intensity q between supports A and B.The beam shown in the figure is subjected to a uniformly distributed downward load of intensity qConsidering the upward reactions as positive, the support reactions are

A

RA=ql2;RB=5ql2;RC=−qlR_A=\frac {ql}{2};R_B=\frac {5ql}{2};R_C=-ql

B

RA=−ql;RB=5ql2;RC=ql2R_A=-ql;R_B=\frac {5ql}{2};R_C=\frac {ql}{2}

C

RA=−ql2;RB=5ql2;RC=0R_A=-\frac {ql}{2};R_B=\frac {5ql}{2};R_C=0

D

RA=ql2;RB=ql;RC=ql2R_A=\frac {ql}{2};R_B=ql;R_C=\frac {ql}{2}

Answer

RA=ql2;RB=5ql2;RC=−qlR_A=\frac {ql}{2};R_B=\frac {5ql}{2};R_C=-ql

Explanation

Solution

The correct option is (A): RA=ql2;RB=5ql2;RC=−qlR_A=\frac {ql}{2};R_B=\frac {5ql}{2};R_C=-ql