 A. 411 N mm
 B. 511 N mm
 C. 611 N mm
 D. 711 N mm
Theory of Structures

A steel bar 20 mm in diameter simplysupported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is_____.

The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called_____.
 A. Stiffness
 B. Proof resilience
 C. Proof stress
 D. Proof load

The locus of reaction of a two hinged semicircular arch, is_____.
 A. Straight line
 B. Parabola
 C. Circle
 D. Hyperbola

For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is_____.
 A. 0.303
 B. 0.404
 C. 0.505
 D. 0.707

If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,_____.
 A. Horizontal thrust is wl2/8h
 B. S.F. will be zero throughout
 C. B.M. will be zero throughout
 D. All the above

A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is_____.
 A. 4WD²n/d4N
 B. 4W²Dn/d4N
 C. 4W²D3n/d4N
 D. 4W²D3n²/d4N

A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be_____.
 A. p/a²
 B. 2p/a²
 C. 3p/a²
 D. 4p/a²

A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:
 A. 4.0 mm
 B. 4.5 mm
 C. 5.0 mm
 D. 5.5 mm

The area of the core of a column of cross sectional area A, is_____.
 A. (1/3) A
 B. (1/6) A
 C. (1/12) A
 D. (1/18) A

H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon_____.
 A. H = 0
 B. V = 0
 C. M = 0
 D. All the above