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870+ Strength of Materials Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Mechanical Engineering .

251.

A body is subjected to two normal stresses 20 kN / m2 (tensile) and 10 kN / m2 (compressive) acting perpendicular to each other. The maximum shear stress is

A. 5 kN / m2
B. 10 kN / m2
C. 15 kN / m2
D. 20 kN / m2
Answer» C. 15 kN / m2
252.

In order to avoid sliding of masonry dam, the force of friction between the dam and soil should be at least

A. equal to
B. 1.5 times
C. double
D. 2.5 times
Answer» B. 1.5 times
253.

In a beam of uniform strength, the bending stress developed is constant and is equal to the allowable stress at every section of the beam.

A. True
B. False
Answer» A. True
254.

The rectrangular beam 'A' has length l, width b and depth d. Another beam 'B' has the same length and depth but width is double that of 'A'. The elastic strength of beam B will be

A. same
B. double
C. four times
D. six times
Answer» B. double
255.

A rod is enclosed centrally in a tube and the assembly is lightened by rigid washers. If the assembly is subjected to a compressive load, then

A. rod is under compression
B. tube is under compression
C. both rod and tube are under compression
D. rube is under tension and rod is under compression
Answer» C. both rod and tube are under compression
256.

The shear force in the centre of a simply supported beam carrying a uniformly distributed load of w per unit length, is

A. zero
B. wl2 / 2
C. wl2 / 4
D. wl2 / 8
Answer» A. zero
257.

A beam of triangular section is placed with its base horizontal. The maximum shear stress occurs at

A. apex of the triangle
B. mid of the height
C. centre of gravity of the triangle
D. base of the triangle
Answer» B. mid of the height
258.

The stress developed in the material without any permanent set is called

A. elastic limit
B. yield stress
C. ultimate stress
D. breaking stress
Answer» A. elastic limit
259.

The ductility of a material

A. increases
B. decreases
C. remains same
Answer» A. increases
260.

The rectrangular beam 'A' has length l, width b and depth d. Another beam 'B' has the same length and width but depth is double that of 'A'. The elastic strength of beam B will be

A. same
B. double
C. four times
D. six times
Answer» C. four times
261.

A bar of length L metres extends by l mm under a tensile force of P. The strain produced in the bar is

A. l / L
B. 0.1 l / L
C. 0.01 l / L
D. 0.001 l / L
Answer» D. 0.001 l / L
262.

In the Euler's formula, the value of C for a column with one end fixed and the other end free, is

A. 1 ? 2
B. 1
C. 2
D. 4
Answer» D. 4
263.

The maximum stress produced in a bar of tapering section is at

A. smaller end
B. larger end
C. middle
D. anywhere
Answer» A. smaller end
264.

In a thin cylindrical shell subjected to an internal pressure p, the ratio of longitudinal stress to the hoop stress is

A. 1 ? 2
B. 3 ? 4
C. 1
D. 1.5
Answer» A. 1 ? 2
265.

When two shafts of same length, one of which is hollow, transmit equal torques and have equal maximum stress, then they should have equal

A. polar moment of inertia
B. polar modulus
C. diameter
D. angle of twist
Answer» B. polar modulus
266.

In a simple bending theory, one of the assumption is that the material of the beam is isotropic. This assumption means that the

A. normal stress remains constant in all directions
B. normal stress varies linearly in the material
C. elastic constants are same in all the directions
D. elastic constants varies linearly in the material
Answer» C. elastic constants are same in all the directions
267.

For the two shafts connected in parallel and sub-jected to twisting moment, the angle of twist of each shaft will be same.

A. Yes
B. No
Answer» A. Yes
268.

A tensile test is performed on a round bar. After fracture it has been found that the diameter remains approximately same at fracture. The material under test was

A. mild steel
B. cast iron
C. glass
D. copper
Answer» B. cast iron
269.

The compressive strength of brittle materials is

A. equal to
B. less than
C. greater than
Answer» C. greater than
270.

Two shafts 'A' and 'B' transmit the same power. The speed of shaft 'A' is 250 r.p.m. and that of shaft 'B' is 300 r.p.m. The shaft 'B' has the greater diameter.

A. True
B. False
Answer» B. False
271.

A welded joint as compared to a riveted joint has

A. same
B. less
C. more
Answer» C. more
272.

The shear force of a cantilever beam of length l carrying a uniformly distributed load of w per unit length is

A. zero
B. wl / 4
C. wl / 2
D. wl
Answer» A. zero
273.

The bending moment at a point on a beam is the algebraic

A. sum
B. difference
Answer» A. sum
274.

In the Euler's formula, the value of C for a column with one end fixed and the other end hinged, is 1 / 2.

A. True
B. False
Answer» A. True
275.

The bending moment diagram for a simply supported beam carrying a uniformly distributed load of w per unit length, will be

A. a horizontal line
B. a vertical line
C. an inclined line
D. a parabolic curve
Answer» D. a parabolic curve
276.

Every direct stress is always accompanied by a strain in its own direction and an opposite kind of strain in every direction, at right angles to it. Such a strain is known as

A. linear strain
B. lateral strain
C. volumetric strain
D. shear strain
Answer» B. lateral strain
277.

The bending stress in a beam is

A. equal to
B. less than
C. more than
D. directly proportional to
Answer» D. directly proportional to
278.

The section nodulus (Z) of a beam is given by

A. I / y
B. I.y
C. y / I
D. M / I
Answer» A. I / y
279.

According to Euler's column theory, the crippling load for a column of length (l) with one end fixed and the other end free is

A. equal to
B. less than
C. more than
Answer» B. less than
280.

A shear stress across a plane, is always accompanied by a balancing shear stress across the plane and normal to it.

A. True
B. False
Answer» B. False
281.

Two closely coiled helical springs 'A' and 'B' are equal in all respects but the number of turns of spring 'A' is half that of spring 'B'. The ratio of deflections in spring 'A' to spring 'B' is

A. 1 ? 8
B. 1 ? 4
C. 1 ? 2
D. 2
Answer» C. 1 ? 2
282.

A lap joint is always in

A. single
B. double
Answer» A. single
283.

The shear force and bending moment zre zero at the free end of a cantilever beam, if it carries a

A. point load at the free end
B. point load at the middle of its length
C. uniformly distributed load over the whole length
D. none of the above
Answer» C. uniformly distributed load over the whole length
284.

In a thick cylindrical shell subjected to an internal pressure (p), the radial stress across the thickness of a cylinder is

A. maximum at the outer surface and minimum at the inner surface
B. maximum at the inner surface and minimum at the outer surface
C. maximum at the outer surface and zero at the inner surface
D. maximum at the inner surface and zero at the outer surface
Answer» D. maximum at the inner surface and zero at the outer surface
285.

The forsional rigidity of a shaft is given by

A. T / J
B. T / ?
C. T / r
D. T / G
Answer» B. T / ?
286.

In a tensile test, when the material is stressed beyond elastic limit, the tensile strain

A. decreases slowly
B. increases slowly
C. decreases more quickly
D. increases more quickly
Answer» D. increases more quickly
287.

Within elastic limit, shear stress is

A. equal to
B. less than
C. directly proportional to
D. inversely proportional to
Answer» C. directly proportional to
288.

A cantilever beam of length / carries a gradually varying load from zero at free end and w per unit length at the fixed end. The maximum deflection oes at

A. free end
B. fixed end
C. mid-span
Answer» A. free end
289.

The ratio of maximum shear stress developed in a rectangular beam and a circular beam of the same cross-sectional area is

A. 2 ? 3
B. 3 ? 4
C. one
D. 9 ? 8
Answer» D. 9 ? 8
290.

The rivets are used for

A. permanent
B. temporary
Answer» A. permanent
291.

The maximum deflection of a fixed beam carrying a central point load lies at

A. fixed ends
B. centre of beam
C. l / 3 from fixed ends
D. none of these
Answer» B. centre of beam
292.

Hook's law holds good up to

A. yield point
B. elastic limit
C. plastic limit
D. breaking point
Answer» B. elastic limit
293.

At the neutral axis of a beam, the shear stress is

A. zero
B. minimum
C. maximum
D. infinity
Answer» C. maximum
294.

The bending moment on a section is maximum where shear force is

A. minimum
B. maximum
C. changing sign
D. zero
Answer» C. changing sign
295.

In a thick cylindrical shell subjected to an internal pressure (p), the tangential stress across the thickness of a cylinder is

A. maximum at the outer surface and minimum at the inner surface
B. maximum at the inner surface and minimum at the outer surface
C. maximum at the outer surface and zero at the inner surface
D. maximum at the inner surface and zero at the outer surface
Answer» B. maximum at the inner surface and minimum at the outer surface
296.

The shear modulus of most materials with respect to the modulus of elasticity is

A. equal to half
B. less than half
C. more than half
D. none of these
Answer» B. less than half
297.

The maximum shear stress developed in a beam of rectangular section is

A. equal to
B. 4 / 3 time
C. 1.5 times
D. twice
Answer» C. 1.5 times
298.

The maximum shear stress of a beam of triangular section occurs above the neutral axis.

A. Correct
B. Incorrect
Answer» A. Correct
299.

Which of the following is a proper sequence?

A. proportional limit, elastic limit, yielding, failure
B. elastic limit, proportional limit, yielding, failure
C. yielding, proportional limit, elastic limit, failure
D. none of the above
Answer» A. proportional limit, elastic limit, yielding, failure
300.

Parallel fillet welds are designed for bending strength.

A. Agree
B. Disagree
Answer» A. Agree

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