Question

For a cicular section of a beam of diameter d
and bending stress Op the moment of
resistance will be​

Answer 1

Answer:

Now consider about layers AC \ \& \ BD AC & BD of beam which has now deformed to AC' \ \& BD' \ AC

′

&BD

′

respectively due to bending moment ( M ) (M). Consider another layer PQ PQ at a distance ( y ) (y) from neutral layer RS RS.

Before bending the layers AC, \ BD, \ RS \ \& \ PQ AC, BD, RS & PQ all are of equal lengths. After bending of the beam, layer AC AC has compressed, layer BD BD has elongated and layer RS RS remain unchanged in length.

Let decrease in length of layer PQ PQ is ( \delta l ) (δl) –

Therefore, \quad \delta l = ( PQ - P'Q' ) δl=(PQ−P

′

Q

′

)

Strain of this layer will be –

e = \left ( \frac {\delta l}{l} \right ) = \left ( \frac {PQ - P'Q'}{PQ} \right ) e=(

l

δl

)=(

PQ

PQ−P

′

Q

′

)