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Q3. (a) The crippling load P for a solid steel rod varies directly as the fourth power of its diameter, d, and indirectly as the square of its length, l.

A steel rod, 3 m long and 5 cm diameter, used as a strut, fixed at both ends, has a crippling load of 265.4 kN.

Determine the crippling load of a similar strut of, 2.6 m long and 4.5 cm in diameter. (8)

(b) The bending moment in Newton metres at a point in a beam is given by :

M = (5x (15 - x))/4

where x in metres is the distance from the point of support.

Evaluate x, correct to two decimal places, when the bending moment is 60 Nm. (8)