MCQOPTIONS
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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.
| 1. |
The bending stress is ____________ |
| A. | Directly proportional to the distance of layer from the neutral layer |
| B. | Inversely proportional to the distance of layer from the neutral layer |
| C. | Directly proportional to the neutral layer |
| D. | Does not depend on the distance of layer from the neutral layer |
| Answer» B. Inversely proportional to the distance of layer from the neutral layer | |
| 2. |
What is the expression of the bending equation? |
| A. | M/I = σ/y = E/R |
| B. | M/R = σ/y = E/I |
| C. | M/y = σ/R = E/I |
| D. | M/I = σ/R = E/y |
| Answer» B. M/R = σ/y = E/I | |
| 3. |
Stress in a beam due to simple bending is ____________ |
| A. | Directly proportional |
| B. | Inversely proportional |
| C. | Curvilinearly related |
| D. | None of the mentioned |
| Answer» B. Inversely proportional | |
| 4. |
A beam is said to be of uniform strength, if ____________ |
| A. | B.M. is same throughout the beam |
| B. | Shear stress is the same through the beam |
| C. | Deflection is the same throughout the beam |
| D. | Bending stress is the same at every section along its longitudinal axis |
| Answer» E. | |
| 5. |
A beam has a solid circular cross-section having diameter d. If a section of the beam is subjected to a shear force F, the maximum shear stress in the cross-section is given by |
| A. | \(\frac{{4F}}{{3\pi {d^2}}}\) |
| B. | \(\frac{{16F}}{{3\pi {d^2}}}\) |
| C. | \(\frac{{8F}}{{3\pi {d^2}}}\) |
| D. | \(\frac{{3F}}{{3\pi {d^2}}}\) |
| Answer» C. \(\frac{{8F}}{{3\pi {d^2}}}\) | |
| 6. |
A shaft is subjected to bending moment, M and a torque, T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in a shaft is |
| A. | M/T |
| B. | T/M |
| C. | 2M/T |
| D. | 2T/M |
| Answer» D. 2T/M | |
| 7. |
A steel plate is bent into a circular arc of radius 10 m. If the plate section be 120 mm wide and 20 mm thick, with E = 2 × 105 N/mm2, then the maximum bending stress-induced is |
| A. | 210 N/mm2 |
| B. | 205 N/mm2 |
| C. | 200 N/mm2 |
| D. | 195 N/mm2 |
| Answer» D. 195 N/mm2 | |
| 8. |
At a point in the web of a girder the bending stress (σx) is 3 MPa (tensile) and the shearing stress (τ) at the same point is 2 MPa, then the maximum shear stress is |
| A. | 1.5 MPa |
| B. | 4 MPa |
| C. | 2.5 MPa |
| D. | 1 MPa |
| Answer» D. 1 MPa | |
| 9. |
A steel beam is replaced by a corresponding aluminum beam of the same cross-sectional shape and dimension and is subjected to the same loading. The maximum bending stress now will be |
| A. | unaltered |
| B. | increase |
| C. | decrease |
| D. | vary in proportion to their modulus of elasticity |
| Answer» B. increase | |
| 10. |
A cantilever beam of T cross-section carries uniformly distributed load. Where does the maximum magnitude of bending stress occur? |
| A. | At the top of cross-section |
| B. | At the junction of flange and web |
| C. | At the mid-depth point |
| D. | At the bottom of the section |
| Answer» E. | |
| 11. |
Product of allowable bending stress and sectional modulus is |
| A. | Radius of gyration |
| B. | Moment of inertia |
| C. | Moment of resistance |
| D. | Moment of rigidity |
| Answer» D. Moment of rigidity | |
| 12. |
Consider the following for bending stress induced in a beam:(i) Directly proportional to modulus of elasticity,(ii) Inversely proportional to curvature and(iii) Inversely proportional to radius of curvatureWhich one of the following is correct answer? |
| A. | i only |
| B. | i and ii only |
| C. | i and iii only |
| D. | All |
| Answer» D. All | |
| 13. |
A shaft of diameter D is subjected to a twisting moment of T and bending moment of M respectively. If the maximum bending stress is equal to maximum shear stress developed. Then M is equal to |
| A. | \(\frac T2\) |
| B. | T |
| C. | 2T |
| D. | 4T |
| Answer» B. T | |
| 14. |
An inverted T-section is subjected to a shear force F. The maximum shear stress will occur at: |
| A. | Top of the section |
| B. | Junction of web and flange |
| C. | neutral axis of the section |
| D. | Bottom of the section |
| Answer» D. Bottom of the section | |
| 15. |
A thin steel ruler having its cross-section of 0.0625 cm × 2.5 cm is bent by couples applied at its ends so that its length l equal to 25 cm, when bent, as a circular are, subtends a central angle θ = 60°. Take E = 2 × 106 kg/cm2 The maximum stress induced in the ruler and the magnitude is |
| A. | 2618 kg/cm2 |
| B. | 2512 kg/cm2 |
| C. | 2406 kg/cm2 |
| D. | 2301 kg/cm2 |
| Answer» B. 2512 kg/cm2 | |
| 16. |
A rectangular strut is 150 mm wide and 120 mm thick. It carries a load of 180 kN at an eccentricity of 10 mm in a plane bisecting the thickness as shown in the figure:The maximum intensity of stress in the section will be |
| A. | 14 MPa |
| B. | 12 MPa |
| C. | 10 MPa |
| D. | 8 MPa |
| Answer» B. 12 MPa | |
| 17. |
Bending moment M and torque T is applied on a solid circular shaft. If the maximum bending stress equals to maximum shear stress developed, then M is equal to |
| A. | \(\frac{T}{2}\) |
| B. | T |
| C. | 2T |
| D. | 4T |
| Answer» B. T | |
| 18. |
A simply supported beam 6 m long carries concentrated load P at 1 m from one end. The cross-section of the beam is square with the side of 100 mm. What will be the maximum value so that stress in the material should not exceed 8 MN/m2? |
| A. | 1 kN |
| B. | 1.2 kN |
| C. | 1.4 kN |
| D. | 1.6 kN |
| Answer» E. | |
| 19. |
A simply supported beam has uniform cross-section, b = 100 mm, d = 200 mm, the beam is subjected to a maximum bending moment of 6 × 107 N-mm. The corresponding bending stress developed in the beam is |
| A. | 30 N/mm2 |
| B. | 60 N/mm2 |
| C. | 90 N/mm2 |
| D. | 120 N/mm2 |
| Answer» D. 120 N/mm2 | |
| 20. |
Expression for bending equation is ______ |
| A. | \(\frac{M}{I} = \frac{f}{y} = \frac{E}{R}\) |
| B. | \(\frac{M}{I} = \frac{y}{f} = \frac{E}{R}\) |
| C. | \(\frac{M}{I} = \frac{f}{y} = \frac{R}{E}\) |
| D. | \(\frac{M}{I} = \frac{f}{E} = \frac{R}{y}\) |
| Answer» B. \(\frac{M}{I} = \frac{y}{f} = \frac{E}{R}\) | |
| 21. |
Keeping breadth constant, depth of a cantilever of length 'l' of uniform strength loaded with uniformly distributed load 'w' varies from zero at the free end and |
| A. | (2w/σb) × I at the fixed end |
| B. | √{(3w/σb) × l} at the fixed end |
| C. | √{(2w/σb) × I} at the fixed end |
| D. | (3w/σb) × I at the fixed end |
| Answer» C. √{(2w/σb) × I} at the fixed end | |
| 22. |
A right-angled triangle with base 50 mm and height 75 mm is placed with its base horizontal, subjected to shear force of F. If moment of inertia is ‘I’ about the axis passing through centroid parallel to the base, then the shear stress at the axis passing through the centroid is |
| A. | 416·67 F/I |
| B. | 449·67 F/I |
| C. | 316·67 F/I |
| D. | 492·2 F/I |
| Answer» B. 449·67 F/I | |
| 23. |
A beam of uniform strength is one in which |
| A. | bending moment is same throughout the beam |
| B. | deflection is the same throughout the length |
| C. | bending stress is same in every section along the longitudinal axis. |
| D. | shear stress is uniform throughout the beam |
| Answer» D. shear stress is uniform throughout the beam | |
| 24. |
A steel wire of 20 mm diameter is bent into a circular shape of 10 m radius. If E, the modulus of elasticity, si 2 × 106 kg/cm2, then the maximum tensile stress induced in the wire is, nearly |
| A. | 2 × 103 kg/cm2 |
| B. | 3 × 103 kg/cm2 |
| C. | 5 × 103 kg/cm2 |
| D. | 4 × 103 kg/cm2 |
| Answer» B. 3 × 103 kg/cm2 | |
| 25. |
A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young’s modulus of 2.0 × 1011 N/m2. The maximum bending stress at the fixed end of the cantilever is _______ |
| A. | 20.0 MPa |
| B. | 37.5 MPa |
| C. | 60.0 MPa |
| D. | 75.0 MPa |
| Answer» C. 60.0 MPa | |
| 26. |
A block is of dimensions of the upper surface 100 mm x 100 mm. The height of the block is 10 mm. A tangential force of 10 kN is applied at the centre of the upper surface. The block is displaced by 1 mm with respect to the lower face. Direct shear stress in the element is: |
| A. | 10 MPa |
| B. | 1 MPa |
| C. | 0.1 MPa |
| D. | 100 MPa |
| Answer» C. 0.1 MPa | |
| 27. |
A simply supported beam of length 4 m is subjected to a uniformly distributed load of 2 kN/m. What is the maximum shear stress if the cross-section is rectangular, 100 mm wide and 200 mm deep? |
| A. | 0.2 N/mm2 |
| B. | 0.1 N/mm2 |
| C. | 0.4 N/mm2 |
| D. | 0.3 N/mm2 |
| Answer» E. | |
| 28. |
Maximum shear stress in a triangular section is |
| A. | 1.33 times the average shear stress at y = h/3 |
| B. | 1.5 times the average shear stress at y = h/3 |
| C. | 1.33 times the average shear stress at y = h/2 |
| D. | 1.5 times the average shear stress at y = h/2 |
| Answer» E. | |
| 29. |
A simple supported steel I beam is replaced by a C-channel made with aluminum. Both sections have similar moment of inertia and are subjected to same loading. The following will remain true, |
| A. | The maximum bending stress and deflection will remain unaltered |
| B. | Only the maximum bending stress will remain unaltered |
| C. | Only the maximum deflection will remain unaltered |
| D. | None of the above |
| Answer» C. Only the maximum deflection will remain unaltered | |
| 30. |
A pull of 100 kN acts on a bar as shown in the figure in such a way that it is parallel to the bar axis and is 10 mm away from xx:The maximum bending stress produced in the bar at xx is nearly |
| A. | 20.5 N/mm2 |
| B. | 18.8 N/mm2 |
| C. | 16.3 N/mm2 |
| D. | 14.5 N/mm2 |
| Answer» C. 16.3 N/mm2 | |
| 31. |
A punch of 20 mm diameter is used to punch a hole in 8 mm thick plate. If the force required to create a hole is 110 KN, the average shear stress in the plate will be nearly |
| A. | 410 MPa |
| B. | 320 MPa |
| C. | 220 MPa |
| D. | 140 MPa |
| Answer» D. 140 MPa | |
| 32. |
A mild steel flat of width 120 mm and thickness 10 mm is bent into an arc of a circle of radius 10 m, by applying a moment ‘M’. If ‘E’ is 2 × 105 N/mm2, the magnitude of ‘M’ will be:- |
| A. | 0.2 × 105 N.mm |
| B. | 2 × 105 N.mm |
| C. | 2 × 106 N.mm |
| D. | 0.2 × 104 N.mm |
| Answer» C. 2 × 106 N.mm | |
| 33. |
A mild steel structural section is an unsymmetrical I-section, with the greater width at the top and the smaller width at the bottom. The overall depth of the beam is 300 mm, and the flange stresses at the top and the bottom of the beam are 150 N/mm2 and 50 N/mm2 respectively. What is the height of the neutral axis of the beam from its bottom? |
| A. | 125 mm |
| B. | 100 mm |
| C. | 75 mm |
| D. | 50 mm |
| Answer» D. 50 mm | |
| 34. |
A simply supported wooden beam 100 mm wide, 250 mm deep and 3 m long is carrying a uniformly distributed load of 40 kN/m. The maximum shear stress will be |
| A. | 2.4 MPa |
| B. | 2.8 MPa |
| C. | 3.2 MPa |
| D. | 3.6 MPa |
| Answer» E. | |
| 35. |
In order that the extreme fibre stresses in bending will be in the ratio 4 : 3 in the beam shown in the following figure, the width b of the upper flange (b < 10 cm) of the beam section is to be |
| A. | 6.1 cm |
| B. | 6.6 cm |
| C. | 5.1 cm |
| D. | 5.63 cm |
| Answer» E. | |
| 36. |
For a beam with rectangular cross section, at the neutral axis, the shear stress axis is always: |
| A. | zero |
| B. | maximum |
| C. | minimum |
| D. | Infinity |
| Answer» C. minimum | |
| 37. |
A timber beam, 100 mm wide and 150 mm deep, supports a UDL over a span of 2 m. If the safe stresses are not to exceed 28 MPa in bending and 2 MPa in shear, the maximum load that the beam can support is |
| A. | 16 kN/m |
| B. | 20 kN/m |
| C. | 24 kN/m |
| D. | 28 kN/m |
| Answer» C. 24 kN/m | |
| 38. |
A pump is to transport the water. The maximum power required through the shaft is 62.8 W, when it rotates at 100 rpm, What will be the diameter of shaft (in cm) if the maximum permissible shearing stress is 100 MN/m 2 ? (π = 3.14) |
| A. | \({\left( {\frac{{96}}{{314}}} \right)^{\left( {\frac{1}{3}} \right)\;}}\) |
| B. | \({\left( {\frac{{196}}{{314}}} \right)^{\left( {\frac{1}{3}} \right)\;}}\) |
| C. | \({\left( {\frac{{296}}{{314}}} \right)^{\left( {\frac{1}{3}} \right)\;}}\) |
| D. | \({\left( {\frac{{396}}{{314}}} \right)^{\left( {\frac{1}{3}} \right)\;}}\) |
| Answer» B. \({\left( {\frac{{196}}{{314}}} \right)^{\left( {\frac{1}{3}} \right)\;}}\) | |
| 39. |
If the maximum stress at a section is 'σ', the modulus of rigidity is 'M' and the section modulus is 'Z', then the formula to explain relation between them is- |
| A. | M = 1 / σZ |
| B. | M = σZ |
| C. | M = Z / σ |
| D. | M = σ / Z |
| Answer» C. M = Z / σ | |
| 40. |
Determine the maximum tensile stress at section XX in the figure below: |
| A. | 2P/bd |
| B. | 4P/bd |
| C. | 6P/bd |
| D. | 8P/bd |
| Answer» C. 6P/bd | |
| 41. |
A shaft is subjected to the combined bending load ‘M’ and torsional load ‘T’, the maximum shear stress at the outer surface of the shaft will be equal to |
| A. | \(\frac{{16T}}{{\pi d^3}}\) |
| B. | \(\frac{{32M}}{{\pi d^3}}\) |
| C. | \(\frac{{16\sqrt{M^2~+~T^2}}}{{\pi d^3}}\) |
| D. | \(\frac{{32\sqrt{M^2~+~T^2}}}{{\pi d^3}}\) |
| Answer» D. \(\frac{{32\sqrt{M^2~+~T^2}}}{{\pi d^3}}\) | |
| 42. |
A beam of square cross-section is places such that its neutral axis coincides with its diagonal, and it is subjected to a shear force F. What is the ratio of the maximum shear stress to the shear stress at the neutral axis? |
| A. | 9/8 |
| B. | 8/9 |
| C. | 7/8 |
| D. | 8/7 |
| Answer» B. 8/9 | |
| 43. |
A rod of 20 dia is fixed to the ceiling of a roof on one end. A rotor of 50 kg mass is attached to the free end with bearings. The CG of the rotor is 10 mm away from the shaft axis. The rotor is rotating at 600 rpm. The max tensile stress (in N/Sq.mm) in the rod is nearly equal to |
| A. | \(\frac{\pi}{2}\) |
| B. | 200π |
| C. | 300π |
| D. | 400π |
| Answer» E. | |
| 44. |
Neutral axis of a beam is: |
| A. | Layer subjected to tensile stress |
| B. | Layer subjected to compressive stress |
| C. | Layer subjected to torsion stress |
| D. | Layer subjected to zero stress |
| Answer» E. | |
| 45. |
A floor has to carry a load of 12 kN/m2. The floor is supported on rectangular joists each 100 mm wide, 300 mm deep and 5 m long. If maximum stress in the joists should not exceed 8 MN/m2, the centre to centre distance of joists will be |
| A. | 430 mm |
| B. | 400 mm |
| C. | 360 mm |
| D. | 320 mm |
| Answer» E. | |
| 46. |
A beam with a rectangular section of 120 mm × 40 mm is placed horizontally by mistake, (with width as 120 mm and depth as 40 mm) whereas it was designed to be placed vertically. (with width as 40 mm and depth as 120 mm). The ratio of section modulus will be |
| A. | \(\frac{1}{3}\) |
| B. | \(\frac{1}{2}\) |
| C. | \(\frac{1}{6}\) |
| D. | \(\frac{1}{8}\) |
| Answer» B. \(\frac{1}{2}\) | |
| 47. |
A beam with uniform strength refers to which of the following? |
| A. | Where moment of inertia remains same all along the section |
| B. | Where bending stress is uniform at maximum bending moment of the section |
| C. | If the loading passes through the shear center, the beam doesn’t twist |
| D. | If the beam has two axes of symmetry, the shear center coincides with the centroid |
| Answer» C. If the loading passes through the shear center, the beam doesn’t twist | |
| 48. |
If a shaft is simultaneously subjected to torque T/2 and a bending moment of 2M, then the ratio of maximum bending stress to maximum shear stress will be______ |
| A. | 4M/T |
| B. | 8M/T |
| C. | 4T/M |
| D. | 8T/M |
| Answer» C. 4T/M | |
| 49. |
Bending stress on the neutral axis of the cross sectional beam is __________ |
| A. | Maximum |
| B. | Minimum |
| C. | Zero |
| D. | Infinity |
| Answer» D. Infinity | |
| 50. |
A cantilever beam is loaded with a downward transverse load, the upper layer of the beam will have: |
| A. | Tensile stress |
| B. | Compressive stress |
| C. | Only shear stress |
| D. | None of these |
| Answer» B. Compressive stress | |