Theory of Structures Questions

• A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be
• There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of
• If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good
• Two bars, one of steel and the other of copper having areas of cross-sections As and Ac, coefficient of expansion αs and αc and Young's Modulii Es and Es are rigidly connected together at the ends and subjected to temperature change of t°. If the length of the bars initially is L, the final extension δ of the two bars at t° temperature is given by
• Stress may be defined as
• Pick up the correct statement from the following:
• The shape factor of standard rolled beam section varies from
• The tangential component of stress on an plane inclined θ° to the direction of the force, may be obtained by multiplying the normal stress by
• The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is
• A truss containing j joints and m members, will be a simple truss if
• 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 :
• If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively, and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
• Pick up the correct statement from the following:
• The ratio of maximum shear stress to average shear stress of a circular beam, is
• In plastic analysis, the shape factor for a circular section, is
• The normal component of a force inclined through θ° is obtained by multiplying the force by
• For calculating the allowable stress of long columns. The empirical formula , is known as
• The stiffness of the close coil helical spring is
• The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is
• In plastic analysis, the shape factor for a triangular section, is