GATE CE 2023 Set 2 | Torsion Question 3 | Strength of Materials Or Solid Mechanics

A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inertia of the section are denoted as G and J, respectively. The torsional rigidity GJ is 50,000 kN.m² /rad. The following are reported for this shaft:

Statement i) The rotation at the free end is 0.01 rad

Statement ii) The torsional strain energy is 1.0 kN.m

With reference to the above statements, which of the following is true?

Both the statements are correct

Statement i) is correct, but Statement ii) is wrong

Statement i) is wrong, but Statement ii) is correct

Both the statements are wrong

GATE CE 2022 Set 1

MCQ (Single Correct Answer)

-0.33

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

7.5 MPa

15.0 MPa

30 MPa

22.5 MPa

GATE CE 2006

MCQ (Single Correct Answer)

-0.3

A long shaft of diameter $$d$$ is subjected to twisting moment $$T$$ at its ends. The maximum normal stress acting at its cross-section is equal to

zero

$${{16T} \over {\pi {d^3}}}$$

$${{32T} \over {\pi {d^3}}}$$

$${{64T} \over {\pi {d^3}}}$$

Questions Asked from Marks 1

GATE CE 2024 Set 2 (1) GATE CE 2023 Set 2 (1) GATE CE 2022 Set 1 (1) GATE CE 2006 (1)

GATE CE Subjects

Engineering Mechanics

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Hydrology

Irrigation

Geomatics Engineering Or Surveying

Environmental Engineering

Transportation Engineering

Engineering Mathematics

General Aptitude