A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by
(i) (ii)
Find the point at which M is maximum in each case.
Condition for maxima and minima is
And for M to maximum < 0.
(i)
<0
Hence, for , M will be maximum.
(ii)
= 0
So,
For
(condition for maximum value)
For
(condition for minimum value)
Therefore, for , M will have maximum value.