A Textbook Of Strength Of Materials: Mechanics of Solids 6th. Edition by Bansal R. K. | 9788131808146 | 8131808149 | Holooly

Mechanics of Materials

A Textbook Of Strength Of Materials: Mechanics of Solids

495 SOLVED PROBLEMS

Question: 26.3.38

For a material, the modulus of rigidity is 100 G Pa and Poisson’s ratio is 0.25. The value of modulus of elasticity in G Pa is (a) 125 (b) 150 (c) 200 (d) 250. ...

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(d) EXPLANATION

C=100 G Pa =100 \times 1...

Question: 26.3.41

Determine the stiffness of the beam shown in Fig. 11 given below : When : I = 375 × 10^–4 m^4 L = 0.5 m E = 200 GPa The stiffness is given by (a) 12 × 10^10 N/m (b) 10 × 10^10 N/m (c) 4 × 10^10 N/m (d) 8 × 10^10 N/m. ...

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(c) EXPLANATION

\text { Stiffness }=\frac{...

Question: 26.3.50

The Poisson’s ratio of a material which has Young’s modulus of 120 GPa and shear modulus of 50 GPa, is (a) 0.1 (b) 0.2 (c) 0.3 (d) 0.4. ...

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(b) EXPLANATION E = 2C (1 + μ) ∴ ...

Question: 26.3.49

The principal stresses σ1, σ2 and σ3 at a point respectively are 80 MPa, 30 MPa and – 40 MPa. The maximum shear stress is (a) 25 MPa (b) 35 MPa (c) 55 MPa (d) 60 MPa. ...

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(d) EXPLANATION

\sigma_{\max }=\frac{1}{2}...

Question: 26.3.48

With one fixed end and other free end, a column of length L buckles at load P1. Another column of same length and same cross-section fixed at both ends buckles at load P2. Then P2 / P1 is (a) 1 (b) 2 (c) 4 (d) 16. ...

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(d) EXPLANATION For a column of one end fixed and ...

Question: 26.3.47

If the diameter of a long column is reduced by 20%, the percentage of reduction in Euler’s buckling load is (a) 4 (b) 36 (c) 49 (d) 59 ...

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(d) EXPLANATION Euler’s buckling load,

P=\...

Question: 26.3.46

Wire diameter, mean coil diameter and number of turns of a closely-coiled steel spring are d, D and N respectively and stiffness of the spring is k. A second spring is made of the same steel but with wire diameter, mean coil diameter and number of turns as 2d, 2D and 2N respectively. The stiffness ...

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(a) EXPLANATION We know that stiffness of a close-...

Question: 26.3.45

A rod having cross-sectional area 100 × 10^–6 m² is subjected to a tensile load. Based on the Tresca failure criterion, if the uniaxial yield stress of the material is 200 MPa, the failure load is (a) 10 kN (b) 20 kN (c) 100 kN (d) 200 kN. ...

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(b) EXPLANATION

A=100 \times 10^{-6} m ^2...

Question: 26.3.44

Two identical springs labelled as 1 and 2 are arranged in series and subjected to force F as shown in Fig. 12. Assume that each spring constant is k. The strain energy stored in spring 1 is (a) F²/2k (b) F²/4k (c) F²/8k (d) F²/16k. ...

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(c) EXPLANATION Strain energy stored in spring 1, ...

Question: 26.3.42

The strain energy stored in a body of volume V subjected to uniform stress σ is (a) σ × E/V (b) σE²/V (c) σ × V²/E (d) σ²/2E × V. ...

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(d) EXPLANATION The maximum stress induced in a th...

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