Theory Of Structures MCQ Questions & Answers

41

The ratio of the deflections of the free end of a cantilever due to an isolated load at $${\frac{1}{3}^{{\text{rd}}}}$$ and $${\frac{2}{3}^{{\text{rd}}}}$$ of the span, is

A) $$\frac{1}{7}$$ B) $$\frac{2}{7}$$ C) $$\frac{3}{7}$$ D) $$\frac{2}{5}$$

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Answer & Solution

Answer: Option B

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42

A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If E_steel = 2 × 10⁶ kg/cm², the side of the rod, is

A) 1 cm B) 1.5 cm C) 2 cm D) 2.5 cm

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Answer & Solution

Answer: Option C

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43

The assumption in the theory of bending of beams is:

A) Material is homogeneous B) Material is isotropic C) Young’s modulus is same in tension as well as in compression D) All the above

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Answer & Solution

Answer: Option D

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44

The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being E$$I$$, is

A) $$\frac{{{\text{W}}{{\text{L}}^3}}}{{3{\text{E}}I}}$$ B) $$\frac{{{\text{W}}{{\text{L}}^3}}}{{8{\text{E}}I}}$$ C) $$\frac{{{\text{W}}{{\text{L}}^3}}}{{24{\text{E}}I}}$$ D) $$\frac{{{\text{W}}{{\text{L}}^3}}}{{48{\text{E}}I}}$$

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Answer & Solution

Answer: Option D

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45

The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying

A) A uniformly distributed load $$\omega $$ per unit run over its right half span, is $$\frac{2}{3}\frac{{\omega {\text{R}}}}{\pi }$$ B) A uniformly distributed load $$\omega $$ per unit run over its entire span is $$\frac{4}{3}\frac{{\omega {\text{R}}}}{\pi }$$ C) A distributed load varying from zero at the left end to $$\omega $$ per unit horizontal run at the right end, is $$\frac{2}{3}\frac{{\omega {\text{R}}}}{\pi }$$ D) All the above

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Answer & Solution

Answer: Option D

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46

For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

A) 0.303 B) 0.404 C) 0.505 D) 0.707

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Answer & Solution

Answer: Option D

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47

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

A) ΣH = 0 B) ΣV = 0 C) ΣM = 0 D) All the above

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Answer & Solution

Answer: Option D

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48

The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

A) 1 B) 2 C) 3 D) 4

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Answer & Solution

Answer: Option D

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49

The equivalent length of a column of length L, having both the ends hinged, is

A) 2L B) L C) $$\frac{{\text{L}}}{2}$$ D) $$\frac{{\text{L}}}{{\sqrt 2 }}$$

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Answer & Solution

Answer: Option B

Solution:

Both ends hinged $$l = {\text{L}}$$
Both ends fixed $$l = \frac{{\text{L}}}{2}$$
One end hinged and other end fixed $$l = \frac{{\text{L}}}{{\sqrt 2 }}$$
One end hinged another end free $$l = 2{\text{L}}$$

50

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

A) $$1:1\frac{1}{2}:2$$ B) $$2:1\frac{1}{2}:1$$ C) $$1:1:2$$ D) None of these

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Answer & Solution

Answer: Option C

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Theory Of Structures MCQ Questions & Answers | Civil Engineering