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.


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