MCQOPTIONS
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MCQOPTIONS
This section includes 96 Mcqs, each offering curated multiple-choice questions to sharpen your Materials Mechanics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the process of heating the metal in the furnance to a temperature slightly above the upper critical temperature and cooling slowly In the furnance. |
| A. | Quenching |
| B. | Tampering |
| C. | Annealing |
| D. | Normalizing |
| Answer» D. Normalizing | |
| 2. |
A rod, which tapers uniformly from 5cm diameter to 3cm diameter in a length of 50cm, is subjected to an axial load of 6000N. if E = 2,00,000 N/mm², what will be the extension of the rod? |
| A. | 0.00114cm |
| B. | 0.00124cm |
| C. | 0.00127cm |
| D. | 0.00154cm |
| Answer» D. 0.00154cm | |
| 3. |
If a bar of two sections of different diameters of same length are in a line and P load is acting axially on them then what will be the change in length of the bar? |
| A. | PL/E x (1/A₁ + 1/A₂) |
| B. | P/E x (1/A₁ + 1/A₂) |
| C. | P/EL x (1/A₁ + 1/A₂) |
| D. | PE/L x (1/A₁ + 1/A₂) |
| Answer» B. P/E x (1/A₁ + 1/A₂) | |
| 4. |
A uniform, slender cylindrical rod is made of a homogeneous and isotropic material. The rod rests on a frictionless surface. The rod is heated uniformly. If the radial and longitudinal thermal stress are represented by σx and σz, then ___________ |
| A. | σx = 0, σy = 0 |
| B. | σx not equal to 0, σy = 0 |
| C. | σx = 0, σy not equal to 0 |
| D. | σx not equal to 0, σy not equal to 0 |
| Answer» B. σx not equal to 0, σy = 0 | |
| 5. |
A composite bar have four sections each of length 100mm, 150mm, 200mm, 250mm. When force is applied, all the sections causes an elongation of 0.1mm. What will the resultant strain in the bar? |
| A. | 0.0012 |
| B. | 0.00154 |
| C. | 0.00256 |
| D. | 0.0020 |
| Answer» D. 0.0020 | |
| 6. |
A brass bar, having cross sectional area of 150mm², is subjected to axial force of 50kN. What will be the total strain of bar if E= 1.05 x 104 N/mm²? |
| A. | 0.062mm |
| B. | 0.025mm |
| C. | 0.068mm |
| D. | 0.054mm |
| Answer» E. | |
| 7. |
A solid uniform metal bar is hanging vertically from its upper end. Its elongation will be _________ |
| A. | Proportional to L and inversely proportional to D² |
| B. | Proportional to L² and inversely proportional to D |
| C. | Proportional of U but independent of D |
| D. | Proportional of L but independent of D |
| Answer» B. Proportional to L² and inversely proportional to D | |
| 8. |
A cube with a side length of 1m is heated uniformly a degree celcius above the room temperature and all the sides are free to expand. What will be the increase in the volume of the cube? Consider the coefficient of thermal expansion as unity. |
| A. | Zero |
| B. | 1 m³ |
| C. | 2 m³ |
| D. | 3 m³ |
| Answer» E. | |
| 9. |
A mild steel wire 5mm in diameter and 1m ling. If the wire is subjected to an axial tensile load 10kN what will be its extension? |
| A. | 2.55mm |
| B. | 3.15mm |
| C. | 2.45mm |
| D. | 2.65mm |
| Answer» B. 3.15mm | |
| 10. |
Photo stress method is ___________ |
| A. | Stress analysis method |
| B. | Creep test |
| C. | Ultra violet test |
| D. | None of the mentioned |
| Answer» B. Creep test | |
| 11. |
Two sections in a bar of length 10cm and 20cm respectively are pulled axially. It causes an elongation of 0.2mm and 0.4mm respectively in each section. What will be the resultant strain in the bar? |
| A. | 0.004 |
| B. | 0.002 |
| C. | 0.003 |
| D. | 0.006 |
| Answer» B. 0.002 | |
| 12. |
How the total strain in any body subjected to different loads at different sections can be calculated? |
| A. | The resultant strain is the algebraic sum of the individual strain |
| B. | The resultant strain calculated by the trigonometry |
| C. | The resultant will be through Lame’s theorem |
| D. | None of the mentioned |
| Answer» B. The resultant strain calculated by the trigonometry | |
| 13. |
A solid circular shaft of diameter d is subjected to a torque T. the maximum normal stress induced in the shaft is ____________ |
| A. | Zero |
| B. | 16T/πd³ |
| C. | 32T/πd³ |
| D. | None of the mentioned |
| Answer» C. 32T/πd³ | |
| 14. |
How does the elastic constant varys with the elongation of body? |
| A. | The elastic constant is directly proportional to the elongation |
| B. | The elastic constant is inversely proportional to the elongation |
| C. | The elongation does not depends on the elastic constant |
| D. | None of these |
| Answer» C. The elongation does not depends on the elastic constant | |
| 15. |
A composite rod is 1000mm long, its two ends are 40 mm² and 30mm² in area and length are 400mm and 600mm respectively. If the rod is subjected to an axial tensile load of 1000N, what will be its total elongation(E = 200GPa)? |
| A. | 0.130m |
| B. | 0.197mm |
| C. | 0.160mm |
| D. | 0.150mm |
| Answer» B. 0.197mm | |
| 16. |
The stress which acts in a direction perpendicular to the area is called ____________ |
| A. | Shear stress |
| B. | Normal stress |
| C. | Thermal stress |
| D. | None of the mentioned |
| Answer» C. Thermal stress | |
| 17. |
A bar is in two sections having equal lengths. The area of cross section of 1st is double that of 2nd. if the bar carries an axial load of P, then what will be the ratio of elongation in section 2nd to section 1st ? |
| A. | 1/2 |
| B. | 2 |
| C. | 4 |
| D. | 1/4 |
| Answer» C. 4 | |
| 18. |
A bar shown in diagram is subjected to load 160kN. If the stress in the middle portion Is limited to 150N/mm², what will be the diameter of the middle portion? |
| A. | 3.456 cm |
| B. | 3.685 cm |
| C. | 4.524 cm |
| D. | 4.124 cm |
| Answer» C. 4.524 cm | |
| 19. |
A member ABCD is subjected to points load P₁=45kN, P₂, P₃=450kN and P₄=130kN. What will be the total elongation of the member, assuming the modulus of elasticity to be 2.1x10⁵N/mm². The cross sectional area is 625mm, 2500mm, 1250mm respectively. |
| A. | 0.4914mm |
| B. | 0.4235mm |
| C. | 0.4621mm |
| D. | 0.4354mm |
| Answer» B. 0.4235mm | |
| 20. |
If the given forces P₁, P₂, P₃, P₄ and P₅ which are co planar and concurrent are such that the force polygon does not close, then the system will |
| A. | Be in equilibrium |
| B. | Always reduce to a resultant force |
| C. | Always reduce to a couple |
| D. | Always be in equilibrium and will always reduce to a couple |
| Answer» C. Always reduce to a couple | |
| 21. |
During a tensile test on a ductile material ____________ |
| A. | Nominal stress at fracture is higher than the ultimate stress |
| B. | True stress at fracture is higher than the ultimate stress |
| C. | True stress a fracture is the same as the ultimate stress |
| D. | None of the mentioned |
| Answer» C. True stress a fracture is the same as the ultimate stress | |
| 22. |
An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue of the shaft in the presence of the residual compressive stress is ____________ |
| A. | Decreased |
| B. | Increases or decreased, depending on the external bending load |
| C. | Neither decreased nor increased |
| D. | Increases |
| Answer» E. | |
| 23. |
A rod 150cm long and of diameter 2cm is subjected to an axial pull of 20kN. What will be the stress? |
| A. | 60 N/mm² |
| B. | 65 N/mm² |
| C. | 63.6 N/mm² |
| D. | 71.2 N/mm² |
| Answer» D. 71.2 N/mm² | |
| 24. |
A composite bar having two sections of cross-sectional area 100mm² and 200mm² respectively. The length of both the sections is 100mm. What will be the total elongation of bar if it is subjected to axial force of 100kN and E = 10⁵ N/mm²? |
| A. | 1.0 |
| B. | 1.25 |
| C. | 1.5 |
| D. | 2.0 |
| Answer» D. 2.0 | |
| 25. |
The stress in a rod is 70 N/mm² and the modulus of elasticity is 2 x 10⁵ N/mm². what will be the strain in the rod? |
| A. | 0.00052 |
| B. | 0.00035 |
| C. | 0.00030 |
| D. | 0.00047 |
| Answer» C. 0.00030 | |
| 26. |
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. | |
| 27. |
Three sections in a beam are of equal length of 100mm. All three sections are pulled axially with 50kN and due to it elongated by 0.2mm. What will be the resultant strain in the beam? |
| A. | 0.002 |
| B. | 0.004 |
| C. | 0.006 |
| D. | 0.020 |
| Answer» D. 0.020 | |
| 28. |
A tensile rod of 40kN is acting on a rod of diameter 40mm and of length 4m. a bore of diameter 20mm is made centrally on the rod. To what length the rod should be bored so that the total extension will increase 30% under the same tensile load if E = 2×10⁵ N/mm²? |
| A. | 2m |
| B. | 2.7m |
| C. | 3.2m |
| D. | 3.6m |
| Answer» E. | |
| 29. |
A bar shown in the diagram below is subjected to load 160kN. If the stress in the middle portion Is limited to 150N/mm², what will be the length of the middle portion, if the total elongation of the bar is to be 0.2mm? Take E = 2.1 x 10⁵ N/mm². |
| A. | 18.45cm |
| B. | 17.24cm |
| C. | 16.45cm |
| D. | 20.71cm |
| Answer» E. | |
| 30. |
A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of δT. The Youngs modulus is E and the coefficient of linear expansion is unity. The thermal stress in the rod is ____________ |
| A. | Zero |
| B. | T |
| C. | EδT |
| D. | EδTL |
| Answer» D. EδTL | |
| 31. |
Which of these are types of normal stresses? |
| A. | Tensile and compressive stresses |
| B. | Tensile and thermal stresses |
| C. | Shear and bending |
| D. | Compressive and plane stresses |
| Answer» B. Tensile and thermal stresses | |
| 32. |
Identify which factor may cause a lowered body temperature: |
| A. | Infection |
| B. | Stress |
| C. | Shock |
| D. | Exercise |
| Answer» D. Exercise | |
| 33. |
A cube having each side of length p, is constrained in all directions and is heated unigormly so that the temperature is raised to T.C. What will be the stress developed in the cube? |
| A. | δET / γ |
| B. | δTE / (1 – 2γ) |
| C. | δTE / 2 γ |
| D. | δTE / (1 + 2γ) |
| Answer» C. δTE / 2 γ | |
| 34. |
A steel rod 10mm in diameter and 1m long is heated from 20 to 100 degree celcius, E = 200 GPa and coefficient of thermal expansion is 12 x10⁻⁶ per degree celcius. Calculate the thermal stress developed? |
| A. | 192 MPa(tensile) |
| B. | 212 MPa(tensile) |
| C. | 192 MPa(compressive) |
| D. | 212 MPa(compressive) |
| Answer» D. 212 MPa(compressive) | |
| 35. |
A composite bar of two sections of equal length and given diameter is under an axial pull of 15kN. What will be the stresses in the two sections in N/mm²? |
| A. | 190.9 and 84.88 |
| B. | 190.9 and 44.35 |
| C. | 153.45 and 84088 |
| D. | 153045 and 44.35 |
| Answer» B. 190.9 and 44.35 | |
| 36. |
Consider a 250mmx15mmx10mm steel bar which is free to expand is heated from 15C to 40C. what will be developed? |
| A. | Compressive stress |
| B. | Tensile stress |
| C. | Shear stress |
| D. | No stress |
| Answer» E. | |
| 37. |
What is the formula for shear stress? |
| A. | Shear resistance/shear area |
| B. | Force/unit area |
| C. | Bending strain/area |
| D. | Shear stress/length |
| Answer» B. Force/unit area | |
| 38. |
A brass bar, having cross sectional area of 100mm², is subjected to axial force of 50kN. The length of two sections is 100mm and 200mm respectively. What will be the total elongation of bar if E = 1.05 x 10⁵ N/mm² ? |
| A. | 1.21mm |
| B. | 2.034mm |
| C. | 2.31mm |
| D. | 1.428mm |
| Answer» E. | |
| 39. |
If a bar of two different length are in a line and P load is acting axially on them then what will be the change in length of the bar if the radius of both different lengths is same? |
| A. | P/E x (L₁ + L₂) |
| B. | PA/E x (L₁ + L₂) |
| C. | P/EA x (L₁ + L₂) |
| D. | E/PA x (L₁ + L₂) |
| Answer» D. E/PA x (L₁ + L₂) | |
| 40. |
Does the value of stress in each section of a composite bar is constant or not? |
| A. | It changes in a relationship with the other sections as well |
| B. | It changes with the total average length |
| C. | It is constant for every bar |
| D. | It is different in every bar in relation with the load applied and the cross sectional area |
| Answer» E. | |
| 41. |
The length, coefficient of thermal expansion and Youngs modulus of bar A are twice of bar B. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B will be ___________ |
| A. | 2 |
| B. | 4 |
| C. | 8 |
| D. | 16 |
| Answer» C. 8 | |
| 42. |
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 | |
| 43. |
A steel bar of 20mm x 20mm square cross-section is subjected to an axial compressive load of 100kN. If the length of the bar is 1m and E=200GPa, then what will be the elongation of the bar? |
| A. | 1.25mm |
| B. | 2.70mm |
| C. | 5.40mm |
| D. | 4.05mm |
| Answer» B. 2.70mm | |
| 44. |
Which type of stress does in a reinforcement bar is taken by the concrete? |
| A. | Tensile stress |
| B. | Compressive stress |
| C. | Shear stress |
| D. | Bending stress |
| Answer» C. Shear stress | |
| 45. |
Which test is conducted to measure the ability of a material to resist scratching, abrasion, deformation and indentation? |
| A. | Creep test |
| B. | Fatigue test |
| C. | Hardness test |
| D. | Compression test |
| Answer» D. Compression test | |
| 46. |
A composite bar consists of a bar enclosed inside a tune of another material when compressed under a load as whole through rigid collars at the end of the bar. What will be the equation of compatibility? |
| A. | W₁ + W₂ = W |
| B. | W₁ + W₂ = constant |
| C. | W₁/A₁E₁ = W₂/A₂E₂ |
| D. | W₁/A₁E₂ = W₂/A₂E₁ |
| Answer» B. W₁ + W₂ = constant | |
| 47. |
The length, Young’s modulus and coefficient of thermal expansion of bar P are twice that of bar Q. what will be the ration of stress developed in bar P to that in bar Q if the temperature of both bars is increased by the same amount? |
| A. | 2 |
| B. | 8 |
| C. | 4 |
| D. | 16 |
| Answer» D. 16 | |
| 48. |
A steel bar 600mm long and having 30mm diameter, is turned down to 25mm diameter for one fourth of its length. It is heated at 30 C above room temperature, clamped at both ends and then allowed to cool to room temperature. If the distance between the clamps is unchanged, the maximum stress in the bar ( α = 12.5 x 10⁻⁶ per C and E = 200 GN/m²) is |
| A. | 25 MN/m² |
| B. | 40 MN/m² |
| C. | 50 MN/m² |
| D. | 75 MN/m² |
| Answer» E. | |
| 49. |
A steel bar of 40mm x 40mm square cross-section is subjected to an axial compressive load of 200kN. If the length of the bar is 2m and E=200GPa, the elongation of the bar well be ____________ |
| A. | 1.25mm |
| B. | 2.70mm |
| C. | 4.05mm |
| D. | 5.40mm |
| Answer» B. 2.70mm | |
| 50. |
A bar is subjected to a tensile load of 150kN. If the stress in the middle portion is limited to 160 N/mm², what will be the diameter of the middle portion of the total elongation of the bar is 0.25cm (E= 2 x 10⁵)? |
| A. | 3cm |
| B. | 3.45cm |
| C. | 3.85cm |
| D. | 4cm |
| Answer» C. 3.85cm | |