#### Theory of Structures

1

In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

A. L/2
B. L/3
C. L/4
D. L/5
E. . none of these.

2

m1 and m2 are the members of two individual simple trusses of a compound truss. The compound truss will be rigid and determinate if

A. m = m_1 + m_2
B. m = m_1 + m_2 + 1
C. m = m_1 + m_2 + 2
D. m = m_1 + m_2 + 3

3

If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque when t attains maximum shear stress fs the ratio of inner diameter to outer diameter, is  17/64  F_s/N

A. 1/2
B. 1/3
C. 1/4
D. 1/5

4

The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span ; flexural rigidity being EI, is

A. (WL^3)/(3EL)
B. (WL^3)/(8EL)
C. (WL^3)/(24EL)
D. (WL^3)/(48EL)

5

A simply supported beam A carries a point load at its midspan. An other identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

A. 2/3
B. 3/2
C. 5/8
D. 8/5