A circular solid shaft of span L = 5 m is fixed at one end

A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A twisting moment T = 100 kN - m is applied at the free end. The torsional rigidity Gj is 5000 kNm² /red. Fllowing statements are made for this shaft.
I. The maximum rotation is 0.01 rad
II. The torsional strain energy is 1 kN-m With reference to the above statements,
which of the following applies?

1. Both statements are true
2. Statement I is true but II is false
3. Statement II is true but I is false
4. Both the statements are false

	T	=	Cθ
	J		L

∴ θ =	TL
	CJ

=	(100 × 10⁶).(5000)	= 0.01 rad
	50000 × (1000)³

Torsional strain energy, U = (1/2) .T. θ
= (1/2) × (100 × 10⁶)(0.01) = 0.5 kNm
Thus statement I is true, II is false