22. If normal stresses due to longitudinal and transverse loads on a bar are 01 and a2 respectively, the normal component of the stress on an inclined plane 0? to the longitudinal load, is

A. al sin Ox a2 cos 0

B. a1 sin2 0 + a2 cos 2 0

C. sin 20+sin 20 (a1 ? G2)

D. (a1 + 02)2

23. The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

A. circle

B. parabola

C. ellipse

D. straight line,

24. Principal planes are subjected to

A. normal stresses only

B. tangential stresses only

C. normal stresses as well as tangential stresses

D. none of these.

25. A steel bar 5 m x 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poisson's ratio is 0.25, the change in the volume of the bar is

A. 1.125 cm3

B. 2.125 cm3

C. 3.125 cm3

D. 4.125 cm2.

26. If E, N, K and 1/m are modulus of elasticity, modulus the following relationship holds good of rigidity. Bulk modulus and Poisson ratio of the material,

A.E= 3.K1 1 m )

B. E = 2 KL1 +K

C.(1 ? 2/m) =N 1+?

D. all the above.

27. A bar / metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

A. 2AE

B. AE

C.(d)24E'

D.(c)AE

28. The strain energy due to volumetric strain

A. is directly proportional to the volume

B. is directly proportional to the square of exerted pressure

C. is inversely proportional to Bulk modulus

D. all the above.

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