For a simply supported beam of length L, the bending moment M is described as M

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Question
For a simply supported beam of length L, the bending moment M is described as M = a (x - x³/L²), 0 ? x < L; where a is a constant. The shear force will be zero at
Options
A. the supports
B. x = L/2
C. x = L/3
D. x = L/3

Correct Answer

x = L/3

Strength of Materials problems

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1. The range within which a load can be applied on a rectangular column, to avoid any tensile stress, is
Options
A. one-half of the base
B. one-fifth of the base
C. one-fourth of the base
D. one-fifth of the base
E. one sixth of the base on either side of centroid.

3. If the rivets in adjacent rows are staggered and outermost row has only one rivet, the arrangement of the rivets, is called
Options
A. chain riveting
B. zig-zag riveting
C. diamond riveting
D. none of these.

5. The shear stress at any section of a shaft is maximum
Options
A. at the centre of the section
B. at a distance r/2 from the centre
C. at the top of the surface
D. at a distance 3/4 r from the centre
E. none of these.

6. The region of the cross-section of a column in which compressive load may be applied without producing any tensile stress, is known as the core of the cross-section. In circular columns the radius of the core, is
Options
A. one-half of the radius
B. one-third of the radius
C. one-quarter of the radius
D. one-fifth of the radius
E. one-sixth of the radius.

9. The ratio of the maximum deflections of a beam simply supported at its ends with an isolated central load and that of with a uniformly distributed load over its entire length, is
Options
A. 1
B.
C.
D.
E.

10. A beam is said to be of uniform strength, if
Options
A. B.M. is same throughout the beam
B. deflection is same throughout the beam
C. bending stress is same throughout the beam
D. shear stress is same throughout the beam
E. none of these.

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