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GATE CE: Solid Mechanics Champion Quiz 2

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Question 1

An axially loaded bar is subjected to a normal stress of 173 MPa. The maximum shear stress in the bar is

Question 2

A symmetric I–section (with width of each flange = 50 mm, thickness of each flange = 10 mm, depth of web = 100 mm, and thickness of web = 10 mm) of steel is subjected to a shear force of 100 kN. Find the magnitude of the shear stress (in N/mm²) in the web at its junction with the top flange.____________

Question 3

What is the value of bending stress for a bar of diameter 75 mm for moment of 6.75×10³ Nm ?

Question 4

Consider the following statements:
1) In a beam, the maximum shear stress occurs at the neutral axis of the beam cross-section.
2) The maximum shear stress in a beam of circular cross- section is 50% more than the average shear stress.
3) The maximum shear stress in a beam of triangular cross-section, with its vertex upwards occurs at

above the neutral axis?
Which of these statements are correct?

Question 5

A metallic rod of 500 mm length and 50 mm diameter, when subjected to a tensile force of 100 kN at the ends, experiences an increase in its length by 0.5 mm and a reduction in its diameter by 0.015 mm. The Poisson's ratio of the rod material is ________.

Question 6

Consider the following statements for the column with a bracket as shown in the figure given below:

1) Shear force is constant throughout
2) Maximum moment in the column is Pe
3) The compressive axial force in the column is 0.4 P
Which of these statements is/are correct?

Question 7

A solid circular cross-section cantilever beam of diameter $Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image333.png$ = 100 mm carries a sheer force of 10 kN at the free end. The maximum shear stress is

Question 8

A shaft subjected to combined twisting moment T and bending moment M. What is the equivalent bending moment?

Question 9

In the arrangement as shown in the figure, the stepped steel bar ABC is loaded by load P. The material has young’s modulus E= 200 GPa and the two portions AB and BC have area cross section 1cm² and 2cm² respectively. The magnitude of load P required to fill up the gap of 0.75 mm is
$Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image055.jpg$

Question 10

A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2m and E = 200 GPa, the compression of the bar will be:

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ESE & GATE CE Strength of Materials

Sep 15ESE & GATE CE