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Theory of Structures MCQs

Free 168+ Theory of Structures MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Practise below with answers and explanations.

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168 questions in this list. Select an option to practice, or open a question for the full page with explanation.

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Theory of Structures

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1.What is the formula for the maximum deflection of a close-coiled helical spring?

WD³n / d⁴N2WD³n / d⁴N4W²D³n / d⁴N8WD³n / d⁴N

2.Which of the following statements about the strains and volumetric change in a liquid-filled cylinder is correct?

The hoop strain in the cylinder walls caused by the liquid is given by (pd/2tE) (1 – 1/2m).The longitudinal strain in the cylinder walls due to the liquid is (pd/2tE) (1/2 – 1/m).The volumetric deformation of the cylinder from the liquid pressure is (pd/2tE) (5/2 – 2/m).All of the above statements are correct.None of the above.

3.What is the moment of inertia of a rectangular section with width B and depth D about an axis through its centroid and parallel to the width?

B multiplied by D squared divided by 6B times D cubed divided by 6B times D cubed divided by 12B squared times D divided by 6None of the above

4.Which of the following statements is accurate regarding load and shear force relationships?

Shear force changes linearly under a uniformly distributed load.The bending moment diagram forms a parabolic shape with a uniform load.When the load varies linearly, the shear force diagram takes the shape of a parabola.All of the above statements are true.None of the above.

5.Which of the following statements is accurate?

Mcg equals the square root of M squared plus r squared, with symbols representing their standard meanings.Tcp is calculated as the square root of m squared plus T squared, where the symbols have their usual significance.Equivalent torque refers to the torque that alone generates a maximum shear stress equal to that produced by the combined effects of bending and torsion.All the statements above are correct.

6.Identify the false statement regarding the factors affecting the torsional resistance of a shaft. The torsional resistance is directly proportional to which of the following?

Shear modulus of the materialThe shaft's angular deformationInverse of the shaft's lengthSecond moment of area of the shaft's cross-section

7.Which of the following statements is accurate?

A structural element under compression with cross-sectional dimensions much smaller than its length is termed a strut.A member whose length significantly exceeds its cross-sectional size is classified as a strut.The sideways bending of a long compression member is commonly referred to as buckling.All of the above statements are correct.

8.The formula P = 4²EI / L² represents Euler’s critical buckling load for which of the following end conditions?

Both ends are rigidly fixedBoth ends are simply supportedOne end fixed and the other end freeOne end fixed and the other end pinnedNone of the above

9.Which formula is used to determine the permissible stress in long columns?

Linear equation methodParabolic formulaPerry’s equationRankine’s equationEuler’s formula

10.When a shaft is exposed to a bending moment M and a torque T, it experiences which of the following?

The maximum bending stress is given by 32M divided by d cubedThe maximum shear stress equals 16T divided by d cubedBoth the maximum bending and shear stresses as described in A and BNeither the bending nor the shear stress formulas mentioned in A and B apply

11.What is the horizontal thrust at the supports of a two-hinged semicircular arch with radius R carrying a uniform load?

A uniformly distributed load of 4/3 times the radiusAn end load applied at the arch's baseAll of the aboveNone of the aboveCannot be determined from the given information

12.What defines the slenderness ratio of a long column?

Cross-sectional area divided by the radius of gyrationCross-sectional area divided by the smallest radius of gyrationRadius of gyration divided by the cross-sectional areaLength of the column divided by the minimum radius of gyration

13.What is the ratio of stress induced in a bar when a load is applied suddenly compared to when the same load is applied gradually?

One quarterOne halfEqual to oneTwice as muchNone of the above

14.For a three-hinged parabolic arch with a span of length l and a rise of height h, subjected to a uniformly distributed load w per unit length across the entire span, which of the following statements is true?

The horizontal thrust equals wl² divided by 8hShear force remains zero along the entire archBending moment is zero at all points throughout the archAll of the above statements are correctNone of the above

15.The formula P = π²EI / L² represents Euler's critical buckling load under which boundary condition?

Both ends are rigidly fixedBoth ends are pinned and free to rotateOne end is fixed while the other end is freeOne end is fixed and the other end is pinnedBoth ends are free

16.Which of the following approaches can be used to determine the forces in the members of simple trusses?

Using a graphical techniqueApplying the method of jointsUtilizing the method of sectionsAll of the mentioned methodsNone of the above

17.A rod with a consistent cross-sectional area A and length L is subjected to a force P. What is the expression for the Young's Modulus E of the material?

E = / (A × L)E = / (P × L)E = (P × L) /E = (P × A) /

18.The yield moment of a cross section is the bending moment that causes yielding to first occur in which part of the section?

The extreme fiber farthest from the neutral axisThe fiber closest to the neutral axisThe neutral axis itselfAll fibers simultaneouslyThe midpoint of the section

19.A simply supported beam is subjected to a linearly increasing load starting from zero at one end up to a value of w at the other end. If the beam length is a, what is the maximum bending moment in the beam?

w times a divided by 27w multiplied by a squared over 27w squared times aw multiplied by a squaredNone of the above

20.What type of stress is generated in the bar due to the forces illustrated in the figure?

Stress caused by compressionStress resulting from tensionStress due to shear forcesNo stress is produced

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