Q6 of 137 Page 19

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.


More from this chapter

All 137 →
4

Divide 15 into two parts such that the square of one multiplied with the cube of the other is minimum.

 5

Of all the closed cylindrical cans (right circular), which enclose a given volume of 100 cm3, which has the minimum surface area?

 7

A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the lengths of the two pieces so that the combined area of the circle and the square is minimum?

 8

A wire of length 20 m is to be cut into two pieces. One of the pieces will be bent into shape of a square and the other into shape of an equilateral triangle. Where the wire should be cut so that the sum of the areas of the square and triangle is minimum?