Question
Download Solution PDFA beam of length L is pinned at both ends and is subjected to a concentrated bending couple of moment M at its centre. The maximum bending moment in the beam is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The beam under the given loading is
Taking moment about the point A, we get
M0 - RB × L = 0
RB = M0/L (↑)
Taking, Σ V = 0
RA + RB = 0 (As there is no vertical loading)
RA = M0/L (↓ )
So, the FBD of the above beam can be drawn as
So, the SFD will be
From, the SFD we can say that the maximum shear force will be M0/L throughout the beam, including the midsection.
BMD
The maximum bending moment in the beam is
= M/2 or Mo/2
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