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MCQOPTIONS
This section includes 207 Mcqs, each offering curated multiple-choice questions to sharpen your Strength Materials knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A steel plate of width 120 mm and f thickness 20 mm is bent into a circular arc of radius 10 m. If Elastic modulus of the section is 200 GPa, ten the maximum stress induced in the beam is |
| A. | 200 MPa |
| B. | 30 GPa |
| C. | 20 GPa |
| D. | 180 MPa |
| E. | 110 MPa |
| Answer» B. 30 GPa | |
| 52. |
Consider the following statements:1. Cross-section of a member of truss experiences uniform stress2. Cross-section of a beam experiences minimum stress3. Cross-section of a beam experiences linearly varying stress4. Cross-sections of truss members experience only compressive stressWhich of the above statements are correct? |
| A. | 1 and 2 |
| B. | 1 and 3 |
| C. | 1 and 4 |
| D. | 3 and 4 |
| Answer» C. 1 and 4 | |
| 53. |
Match the List 1 (Cross Section) with List 2 (Shape of the core) to ensure no tension is developed in the cross section;List 1List 2a) Rectangular1. Circleb) I - Section2. Rhombusc) Hollow Section3. Squared) Square section4. AnnularSelect the correct choice: |
| A. | - 1, b) - 2, c) - 4, d) - 3 |
| B. | - 1, b) - 2, c) - 3, d) - 4 |
| C. | - 2, b) - 2, c) - 4, d) - 3 |
| D. | - 2, b) - 2, c) - 1, d) - 3 |
| Answer» E. | |
| 54. |
In the case of a triangular section, the shear stress is maximum at the: |
| A. | Neutral axis |
| B. | Height of 2h/3 |
| C. | Height of h/2 |
| D. | Centre of gravity |
| Answer» D. Centre of gravity | |
| 55. |
A beam has a triangular cross-section having base b & altitude h. If the section of the beam is subjected to a shear force F, the shear stress at the level of neutral axis in the cross-section is given by : |
| A. | \(\frac{{4F}}{{3bh}}\) |
| B. | \(\frac{{3F}}{{4bh}}\) |
| C. | \(\frac{{8F}}{{3bh}}\) |
| D. | \(\frac{{3F}}{{8bh}}\) |
| Answer» D. \(\frac{{3F}}{{8bh}}\) | |
| 56. |
In an I-section, shear force is shared |
| A. | Mostly by web |
| B. | Mostly by flanges |
| C. | Uniformly by entire section |
| D. | Proportional to the respective areas of web and flanges |
| Answer» B. Mostly by flanges | |
| 57. |
If all dimensions of a simply supported beam is increased ‘n’ times, the ratio by which maximum bending stress will increase under its self weight is |
| A. | n : 1 |
| B. | (1/n) : 1 |
| C. | 1 : (1/n) |
| D. | 1 : n |
| Answer» B. (1/n) : 1 | |
| 58. |
In a circular cross section beam, the ratio of the maximum shear stress and the average shear stress is |
| A. | 2 / 3 |
| B. | 3 / 2 |
| C. | 4 / 3 |
| D. | 3 / 4 |
| Answer» D. 3 / 4 | |
| 59. |
A homogeneous prismatic simply supported beam is subjected to a point load F. The load can be placed anywhere along the span of the beam. The very maximum flexural stress developed in the beam is |
| A. | \(\frac{{3\;FL}}{{2B{D^2}}}\) |
| B. | \(\frac{{3\;FL}}{{4B{D^2}}}\) |
| C. | \(\frac{{2\;FL}}{{3B{D^2}}}\) |
| D. | \(\frac{{4\;FL}}{{3B{D^2}}}\) |
| Answer» B. \(\frac{{3\;FL}}{{4B{D^2}}}\) | |
| 60. |
A circular beam of 100 mm diameter is subjected to a shear force of 30 kN. The maximum shear stress will be nearly |
| A. | 5.1 MPa |
| B. | 6.3 MPa |
| C. | 7.5 MPa |
| D. | 8.7 MPa |
| Answer» B. 6.3 MPa | |
| 61. |
A bar of square section of area a2 is held such that one of its diagonal is vertical. The maximum shear stress will develop at a depth h where h is |
| A. | (2√3)/4 × a |
| B. | (3√2)/4 × a |
| C. | 3/(4√2) × a |
| D. | √3/4 × a |
| Answer» D. √3/4 × a | |
| 62. |
A rectangular beam of uniform strength and subjected to a bending moment ‘M’ has a constant width. The variation in depth will be proportional to |
| A. | 1/M |
| B. | M |
| C. | √M |
| D. | M2 |
| Answer» D. M2 | |
| 63. |
Equivalent moment of inertia of the cross-section in terms of timber of a flitched beam made up of steel and timber is (Given that m=Es /Et , It = Moment of Inertia of Timber Beam, Is = Moment of Inertia of Steel Beam) |
| A. | (It +m/Is ) |
| B. | (It +Is/m) |
| C. | (It +mIs ) |
| D. | (It +2mIs ) |
| Answer» D. (It +2mIs ) | |
| 64. |
A square beam and a circular beam of same material have the same length, same allowable stress and the same bending moment. The ratio of weights of the square beam to that of circular beam is |
| A. | \(\frac{1}{2}\) |
| B. | 1 |
| C. | \(\frac{1}{1.12}\) |
| D. | \(\frac{1}{3}\) |
| Answer» D. \(\frac{1}{3}\) | |
| 65. |
If section modulus of a beam is increased, the bending stress in the beam will: |
| A. | Not change |
| B. | Increase |
| C. | Decrease |
| D. | Become zero |
| Answer» D. Become zero | |
| 66. |
For a standard crane hook (as shown in figure) subjected to a constant load F, the tensile stress at a given section A-A will be maximum at ______ |
| A. | innermost edge |
| B. | neutral axis |
| C. | outermost edge |
| D. | centroidal axis |
| Answer» B. neutral axis | |
| 67. |
A rectangular section beam subjected to a bending moment M varying along its length is required to develop same maximum bending stress at any cross-section. If the depth of the section is constant, then its width will vary as |
| A. | M |
| B. | \(\sqrt M\) |
| C. | M2 |
| D. | 1/M |
| Answer» B. \(\sqrt M\) | |
| 68. |
A cantilever beam of length 0.3 m is subjected to a uniformly distributed load C = 10 kN/m, as shown in the figure. The bending (flexural) rigidity of the beam is 5000 Nm2. Neglecting the self-weight of the beam, the magnitude of beam curvature in m-1 at the fixed end is |
| A. | 1.10 |
| B. | 0.02 |
| C. | 0.09 |
| D. | 0.05 |
| Answer» D. 0.05 | |
| 69. |
In combined stress theory, kern of a section is that area of the cross-section whereupon loading there will be no tension anywhere in the cross-section. So, the kern of an I-section is |
| A. | Rectangular in shape |
| B. | Square in shape |
| C. | Circular in shape |
| D. | Rhombus in shape |
| Answer» E. | |
| 70. |
In a propeller shaft, sometimes apart from bending and twisting, end thrust will also develop stresses which would be |
| A. | tensile in nature and uniform over the cross-section. |
| B. | compressive in nature and uniform over the cross-section. |
| C. | tensile in nature and non-uniform over the cross-section. |
| D. | compressive in nature and non-uniform over the cross-section. |
| Answer» C. tensile in nature and non-uniform over the cross-section. | |
| 71. |
For a round shaft subjected to pure torsion, the shear stress at the centre (axis) will be |
| A. | maximum |
| B. | minimum |
| C. | zero |
| D. | the information provided is insufficient |
| Answer» D. the information provided is insufficient | |
| 72. |
A cantilever of length 1.2 m carries a concentrated load of 12 kN at the free end. The beam is of rectangular cross-section with breadth equal to half the depth. The maximum stress due to bending is not to exceed 100 N/mm2. The minimum depth of the beam should be |
| A. | 120 mm |
| B. | 60 mm |
| C. | 75 mm |
| D. | 240 mm |
| Answer» B. 60 mm | |
| 73. |
For a triangular cross section having horizontal base, ration of shear stress at mid-height of the section to shear stress at neutral axis of the section is |
| A. | 3/4 |
| B. | 8/9 |
| C. | 9/8 |
| D. | 4/3 |
| Answer» D. 4/3 | |
| 74. |
A short hollow cast iron column has a cross section of 300 cm2 and the section modulus Z = 10 × 105 mm3 has(i) Axial load of 250 kN(ii) A load of 50 kN on a bracket attached to column whose load line is at 200 mm from the axis of the columnThe maximum and minimum stress intensities respectively are |
| A. | 10 MPa and 10 MPa |
| B. | 20 MPa and 0 MPa |
| C. | 0 MPa and 10 MPa |
| D. | None of the above |
| Answer» C. 0 MPa and 10 MPa | |
| 75. |
A bar of rectangular cross-section (b × 2b) and another bar of circular cross-section of diameter d with the same length, are made of same material, and are subjected to same bending moment and have the same maximum bending stress developed. The ratio of weights of the rectangular bar and circular bar will be |
| A. | \(\frac{(2\pi)^3}{3\pi}\) |
| B. | \(\sqrt{\pi}\) |
| C. | \(\sqrt{3\pi}\) |
| D. | \(\frac{(3)^\frac{2}{3}}{2(\pi)^\frac{1}{3}}\) |
| Answer» E. | |
| 76. |
A circular shaft was initially subjected to bending moment and then was subjected to torsion. If the magnitude of bending moment is found to be the same as that of the torque, then the ratio of maximum bending stress to shear stress would be |
| A. | 0.25 |
| B. | 0.20 |
| C. | 2.0 |
| D. | 4.0 |
| Answer» D. 4.0 | |
| 77. |
Factor of safety is the ratio of: |
| A. | Yield stress / working stress |
| B. | Tensile stress / working stress |
| C. | Bearing stress / working stress |
| D. | Bearing stress / yield stress |
| Answer» B. Tensile stress / working stress | |
| 78. |
For a rectangular section beam, if the beam depth is doubled, keeping the width, length and loading same, the bending stress is decreased by a factor |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 79. |
A beam has a square cross section of side 'a'. The ratio of section modulus, when the side is horizontal, to the section modulus when it is rotated by 45° is: |
| A. | a√2 |
| B. | √2 a |
| C. | \(\frac {\sqrt 2} a\) |
| D. | √2 |
| Answer» E. | |
| 80. |
A simply supported beam of rectangular cross-section is under transverse loading. Regarding the shear stress distribution across any section, the ratio of maximum shear stress to mean shear stress is |
| A. | 1.5 |
| B. | 2.5 |
| C. | 3.5 |
| D. | 4.5 |
| Answer» B. 2.5 | |
| 81. |
In case of beams with circular cross-section, what is the ratio of the maximum shear stress to average shear stress? |
| A. | 3 : 1 |
| B. | 2 : 1 |
| C. | 3 : 2 |
| D. | 4 : 3 |
| Answer» E. | |
| 82. |
If the Bending moment is increased three times, then to keep the stress in the beam same, sectional modulus shall be |
| A. | Decreased 3 times |
| B. | Increased 3 times |
| C. | Unchanged |
| D. | Increased 10 times |
| Answer» C. Unchanged | |
| 83. |
For steel, the ultimate strength in shear as compared to ultimate strength in tension is: |
| A. | Same |
| B. | 1/2 |
| C. | 1/3 |
| D. | 2/3 |
| Answer» E. | |
| 84. |
Elastic stress distribution in the cross section of a curved beam under pure bending is |
| A. | Linear |
| B. | Quadratic |
| C. | Parabolic |
| D. | Hyperbolic |
| Answer» E. | |
| 85. |
A solid circular cross-section cantilever beam of diameter φ = 100 mm carries a shear force of 10 kN at the free end. The maximum shear stress is |
| A. | \(\frac{4}{{3\pi }}~MPa\) |
| B. | \(\frac{{3\pi }}{4}~MPa\) |
| C. | \(\frac{{3\pi }}{{16}}~MPa\) |
| D. | \(\frac{{16}}{{3\pi }}~MPa\) |
| Answer» E. | |
| 86. |
A hollow circular bar used as a beam has its outer diameter thrice the inside diameter. It is subjected to a maximum bending moment of 60 MN-mm. If the permissible bending stress is limited to 120 MPa, the inside diameter of the beam will be |
| A. | 49.2 mm |
| B. | 53.4 mm |
| C. | 57. 6 mm |
| D. | 61.8 mm |
| Answer» D. 61.8 mm | |
| 87. |
A massless beam has a loading pattern as shown in the figure. The beam is of rectangular cross-section with a width of 30 mm and height of 100 mm. The maximum magnitude of bending stress (in MPa) is given by |
| A. | 60 |
| B. | 67.5 |
| C. | 200 |
| D. | 225 |
| Answer» C. 200 | |
| 88. |
A beam of a triangular cross-section is subjected to a shear force of 50 kN. The base width of the section is 250 mm and the height is 200 mm. The beam is placed with its base horizontal. The shear stress at a neutral axis will be nearly |
| A. | 2.2 N/mm2 |
| B. | 2.7 N/mm2 |
| C. | 3.2 N/mm2 |
| D. | 3.7 N/mm2 |
| Answer» C. 3.2 N/mm2 | |
| 89. |
A timber beam of rectangular section of length 8 m is simply supported. The beam carries a uniformly distributed load of 12 kN/m, over the entire length and a point load of 10 kN at 3 m from the left support. If the depth is two times the width and stress in the timber is not to exceed 10 N/mm2, what is the suitable depth of the section? |
| A. | 412 mm |
| B. | 512 mm |
| C. | 612 mm |
| D. | 712 mm |
| Answer» C. 612 mm | |
| 90. |
A shear wall of length 5 m, height 3 m and thickness 250 mm has to resist the forces due to horizontal earth quake in its plane. The relevant Section Modulus of the wall section is |
| A. | 3.75 × 108 mm3 |
| B. | 10.41 × 108 mm3 |
| C. | 31.25 × 106 mm3 |
| D. | 75 × 108 mm3 |
| Answer» C. 31.25 × 106 mm3 | |
| 91. |
Find the moment of inertia of a rectangular section of 40 mm width and 80 mm depth about the base. |
| A. | 632×10⁴ mm⁴ |
| B. | 682×10⁴ mm⁴ |
| C. | 734×10⁴ mm⁴ |
| D. | 568×10⁴ mm⁴ |
| Answer» C. 734×10⁴ mm⁴ | |
| 92. |
According to IS 456- 2000, the minimum eccentricity subjected to a column is __________ |
| A. | 30mm |
| B. | 20mm |
| C. | 45mm |
| D. | 50mm |
| Answer» C. 45mm | |
| 93. |
Torsion reinforcement is provided in ___________ slab |
| A. | One way slab |
| B. | Two way slab |
| C. | Simply supported slab |
| D. | Cantilever slab |
| Answer» C. Simply supported slab | |
| 94. |
Short columns causes deflection in the structure. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 95. |
Determine the working stress in the factor of safety is 3 and ultimate load is what 127.32N? |
| A. | 46 N/m² |
| B. | 55 N/m² |
| C. | 48 N/m² |
| D. | 42 N/m² |
| Answer» E. | |
| 96. |
As per IS 456:2000; the slope or pitch of stairs should be in between 25 ° to ___________ |
| A. | 45° |
| B. | 90° |
| C. | 40° |
| D. | 120° |
| Answer» D. 120° | |
| 97. |
______ transfer the loads from beams or slabs to footings or foundations. |
| A. | Pedestal |
| B. | Post |
| C. | Rib |
| D. | Column |
| Answer» E. | |
| 98. |
The ______________ of a column is the distance between the points of zero bending moments. |
| A. | Slenderness ratio |
| B. | Eccentricity |
| C. | Radius of gyration |
| D. | Effective length |
| Answer» E. | |
| 99. |
Volumetric strain = 3× _____________ |
| A. | Linear strain |
| B. | Lateral strain |
| C. | Linear stress |
| D. | Lateral stress |
| Answer» B. Lateral strain | |
| 100. |
In reinforcing of Steel bars, the end and side covers are taken as ____________ to ____________ mm. |
| A. | 40 to 50mm |
| B. | 30 to 45mm |
| C. | 50 to 75mm |
| D. | 35 to 50mm |
| Answer» B. 30 to 45mm | |