MCQOPTIONS
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MCQOPTIONS
This section includes 23 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. |
A tensile load of 60kN is gradually applied to a circular bar of 4cm diameter and 5m long. What is the strain energy in the rod if the load is applied suddenly (E = 2×105 N/mm2)? |
| A. | d143.23 N-m |
| B. | 140.51 N-m |
| C. | 135.145 N-m |
| D. | 197.214 N-m |
| Answer» B. 140.51 N-m | |
| 2. |
A tensile load of 50kN is gradually applied to a circular bar of 5cm diameter and 5m long. What is the strain energy absorbed by the rod (E = 200GPa)? |
| A. | 14 N-m |
| B. | 15.9 N-mm |
| C. | 15.9 N-m |
| D. | 14 N-mm |
| Answer» D. 14 N-mm | |
| 3. |
A tensile load of 60kN is gradually applied to a circular bar of 4cm diameter and 5m long. What is the stretch in the rod if E = 2×105 N/mm2? |
| A. | 1.1mm |
| B. | 1.24mm |
| C. | 2mm |
| D. | 1.19mm |
| Answer» E. | |
| 4. |
A bar of cross-section A and length L is subjected to an axial load W. the strain energy stored in the bar would be __________ |
| A. | WL / AE |
| B. | W2L / 4AE |
| C. | W2L / 2AE |
| D. | WL / 4AE |
| Answer» D. WL / 4AE | |
| 5. |
The strain energy in a member is proportional to __________ |
| A. | Product of stress and the strain |
| B. | Total strain multiplied by the volume of the member |
| C. | The maximum strain multiplied by the length of the member |
| D. | Product of strain and Young’s modulus of the material |
| Answer» E. | |
| 6. |
If forces P, P and P of a system are such that the force polygon does not close, then the system will __________ |
| A. | Be in equilibrium |
| B. | Reduce to a resultant force |
| C. | Reduce to a couple |
| D. | Not be in equilibrium |
| Answer» E. | |
| 7. |
A material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses σ1 and σ2 at a point in two dimensional stress system. The strain energy per unit volume of the material is __________ |
| A. | (σ12 + σ22 – 2σ1σ2 ) / 2E |
| B. | (σ12 + σ22 + 2σ1σ2 ) / 2E |
| C. | (σ12 – σ22 – 2σ1σ2 ) / 2E |
| D. | (σ12 – σ22 – 2σ1σ2 ) / 2E |
| Answer» B. (σ12 + σ22 + 2σ1σ2 ) / 2E | |
| 8. |
A rectangular block of size 400mm x 50mm x 50mm is subjected to a shear stress of 500kg/cm2. If the modulus of rigidity of the material is 1×106 kg/cm2, the strain energy will be __________ |
| A. | 125 kg-cm |
| B. | 1000 kg-cm |
| C. | 500 kg-cm |
| D. | 100 kg-cm |
| Answer» B. 1000 kg-cm | |
| 9. |
PL3/3EI is the deflection under the load P of a cantilever beam. What will be the strain energy? |
| A. | P2L3/3EI |
| B. | P2L3/6EI |
| C. | P2L3/4EI |
| D. | P2L3/24EI |
| Answer» C. P2L3/4EI | |
| 10. |
In a material of pure shear stress τthe strain energy stored per unit volume in the elastic, homogeneous isotropic material having elastic constants E and v will be: |
| A. | τ2/E x (1+ v) |
| B. | τ2/E x (1+ v) |
| C. | τ2/2E x (1+ v) |
| D. | τ2/E x (2+ v) |
| Answer» B. τ2/E x (1+ v) | |
| 11. |
Strain energy stored in a body to uniform stress s of volume V and modulus of elasticity E is __________ |
| A. | s2V/2E |
| B. | sV/E |
| C. | sV2/E |
| D. | sV/2E |
| Answer» B. sV/E | |
| 12. |
A_BAR_OF_CROSS-SECTION_A_AND_LENGTH_L_IS_SUBJECTED_TO_AN_AXIAL_LOAD_W._THE_STRAIN_ENERGY_STORED_IN_THE_BAR_WOULD_BE?$ |
| A. | WL / AE |
| B. | W<sup>2</sup>L / 4AE |
| C. | W<sup>2</sup>L / 2AE |
| D. | WL / 4AE |
| Answer» D. WL / 4AE | |
| 13. |
A tensile load of 50kN is gradually applied to a circular bar of 5cm diameter and 5m long. What is the strain energy absorbed by the rod ( E = 200GPa ) ?$ |
| A. | S14N-m |
| B. | 15.9 N-mm |
| C. | 15.9 N-m |
| D. | 14 N-mm |
| Answer» D. 14 N-mm | |
| 14. |
A_tensile_load_of_60kN_is_gradually_applied_to_a_circular_bar_of_4cm_diameter_and_5m_long._What_is_the_stretch_in_the_rod_if_E_=_2√ó105_N/mm2?$# |
| A. | 1.1mm |
| B. | 1.24mm |
| C. | 2mm |
| D. | 1.19mm |
| Answer» E. | |
| 15. |
A tensile load of 60kN is gradually applied to a circular bar of 4cm diameter and 5m long. What is the strain energy in the rod if the load is applied suddenly (E = 2√ó105 N/mm2) ?$ |
| A. | d143.23 N-m |
| B. | 140.51 N-m |
| C. | 135.145 N-m |
| D. | 197.214 N-m |
| Answer» B. 140.51 N-m | |
| 16. |
The strain energy in a member is proportional t? |
| A. | Product of stress and the strain |
| B. | Total strain multiplied by the volume of the member |
| C. | The maximum strain multiplied by the length of the member |
| D. | Product of strain and YoungÔÇís modulus of the material |
| Answer» E. | |
| 17. |
If forces P, P and P of a system are such that the force polygon does not close, then the system will |
| A. | Be in equilibrium |
| B. | Reduce to a resultant force |
| C. | Reduce to a couple |
| D. | Not be in equilibrium |
| Answer» E. | |
| 18. |
A material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses σ1 and σ2 at a point in two dimensional stress system. The strain energy per unit volume of the material is$ |
| A. | (σ<sub>1</sub><sup>2</sup> + σ<sub>2</sub><sup>2</sup> – 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
| B. | (σ<sub>1</sub><sup>2</sup> + σ<sub>2</sub><sup>2</sup> + 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
| C. | (σ<sub>1</sub><sup>2</sup> – σ<sub>2</sub><sup>2</sup> – 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
| D. | (σ<sub>1</sub><sup>2</sup> – σ<sub>2</sub><sup>2</sup> – 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
| Answer» B. (‚âà√¨‚àö√¢<sub>1</sub><sup>2</sup> + ‚âà√¨‚àö√¢<sub>2</sub><sup>2</sup> + 2‚âà√¨‚àö√¢<sub>1</sub>‚âà√¨‚àö√¢<sub>2</sub> ) / 2E | |
| 19. |
A rectangular block of size 400mm x 50mm x 50mm is subjected to a shear stress of 500kg/cm2. If the modulus of rigidity of the material is 1√ó106 kg/cm2 , the strain energy will be$ |
| A. | a125 kg-cm |
| B. | 1000 kg-cm |
| C. | 500 kg-cm |
| D. | 100 kg-cm |
| Answer» B. 1000 kg-cm | |
| 20. |
PL3/3EI is the deflection under the load P of a cantilever beam. What will be the strain energy? |
| A. | P<sup>2</sup>L<sup>3</sup>/3EI |
| B. | P<sup>2</sup>L<sup>3</sup>/6EI |
| C. | P<sup>2</sup>L<sup>3</sup>/4EI |
| D. | P<sup>2</sup>L<sup>3</sup>/24EI |
| Answer» C. P<sup>2</sup>L<sup>3</sup>/4EI | |
| 21. |
In a material of pure shear stress τthe strain energy stored per unit volume in the elastic, homogeneous isotropic material having elastic constants E and v will be:$ |
| A. | τ<sup>2</sup>/E x (1+ v) |
| B. | τ<sup>2</sup>/E x (1+ v) |
| C. | τ<sup>2</sup>/2E x (1+ v) |
| D. | τ<sup>2</sup>/E x (2+ v) |
| Answer» B. ‚âà√¨‚àö√´<sup>2</sup>/E x (1+ v) | |
| 22. |
Strain energy stored in a body to uniform stress s of volume V and modulus of elasticity E is |
| A. | s<sup>2</sup>V/2E |
| B. | sV/E |
| C. | sV<sup>2</sup>/E |
| D. | sV/2E |
| Answer» B. sV/E | |
| 23. |
What is the strain energy stored in a body due to gradually applied load? |
| A. | σE/V |
| B. | σE<sup>2</sup>/V |
| C. | σV<sup>2</sup>/E |
| D. | σV<sup>2</sup>/2E |
| Answer» E. | |