Question
Download Solution PDFFind the value of shear force at one-fourth of the given span from the left support as shown in the below diagram.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Concentrated Moment (Clockwise) M acts on the middle of the supported beam as given in the question.
Sign Convention Assumed:
Shear Force: +ve (Upwards from left) and vice-versa
Bending Moment: +ve (Clockwise from left) and vice-versa
Calculations:
Using equations of static equilibrium, we have
\(\Sigma V_y =0 \)
VA + VB = 0
and \(\Sigma M_z= 0\) at B
\(V_A L +M = 0\)
∴ VA = -M/L
and, VB = M/L
Now,
Shear Force at L/4 from the left support (Support A) = VA +0 = -M/L
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