Stress may be defined as force per unit length force per unit volume force per u

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force per unit area

Theory of Structures problems

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1. Two bars, one of steel and the other of copper having areas of cross-sections A_s and A_c, coefficient of expansion ?s and ?c and Young's Modulii E_s and E_s 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 ? of the two bars at t� temperature is given by
Options
A.
B.
C.
D.

3. 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
Options
A. 1 : 1 1/2 : 2
B. 2 : 1 1/2 : 1
C. 1 : 1 : 2
D. none of these.

6. Pick up the correct statement from the following:
Options
A. The bending moment which when acting alone would produce the maximum stress equal to the major principal stress caused by combined bending and torsion, is called equivalent bending moment
B. M_cg = (M M² + r²) where letters carry their usual meanings
C. T_cp = m² + T² where letters carry their usual meanings
D. The torque which when acting alone would produce maximum shear stress equal to the maximum shear stress caused by the combined bending and torsion, is called equivalent torque
E. All the above.

8. The tangential component of stress on an plane inclined ?� to the direction of the force, may be obtained by multiplying the normal stress by
Options
A. sin ?
B. cos ?
C. tan ?
D. sin ? cos ?
E. sin²?

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