Question 26.3.49: The principal stresses σ1, σ2 and σ3 at a point respectively...

A Textbook Of Strength Of Materials: Mechanics of Solids

The principal stresses $σ_1, σ_2$ and $σ_3$ 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.

The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Already have an account?

Related Answered Questions

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. ...

Verified Answer:

(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. ...

Verified Answer:

(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. ...

Verified Answer:

(b) EXPLANATION E = 2C (1 + μ) ∴ ...

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. ...

Verified Answer:

(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 ...

Verified Answer:

(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 ...

Verified Answer:

(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. ...

Verified Answer:

(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. ...

Verified Answer:

(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. ...

Verified Answer:

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

Question: 26.3.40

A thin cylinder of radius r and thickness t when subjected to an internal hydrostatic pressure p causes a radial displacement u, then the tangential strain caused is (a) du/dr (b) 1/r . du/dr (c) u/r (d) 2u/r . ...

Verified Answer:

(c) EXPLANATION Radial displacement = u Initial ra...