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# GATE 2023 II Strength of Materials II Champion Quiz 3

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Question 1

At a cross section of a beam,the maximum compressive stress at top is 800 kg/cm2 and the maximum tensile stress at bottom is 200 kg/cm2.The depth of cross section is 10 cm.The depth of neutral axis from the top of the section is x.Then x is equal to _______.

Question 2

A thin strip of copper (E = 120 GPa) having length L and thickness, t = 1 mm is bent into a circle and held with the ends just touching. The maximum bending stress in the strip is limited to 250 MPa. The length of the strip is

Question 3

A solid circular shaft of diameter 8 cm is subjected to maximum shear stress of 96 MPa. Then, maximum shear stress (in MPa) developed at a distance 3 cm from the neutral axis _______.

Question 4

A beam of square cross-section is placed horizontally switch one diagonal (d) and another vertically. The maximum shear stress occurs at:

Question 5

The poisson’s ratio of for a perfectly incompressible linear elastic material is

Question 6

For a simply supported beam of length ‘l’ subjected to downward load of uniform intensity w, match List-I with List –II and selected the correct answer using the codes given below the lists:
List-I
A- Slope of shear force diagram
B- Maximum shear force
C- Maximum deflection
D- Magnitude of maximum bending moment
List-II
1- 2- W
3- 4- Question 7

Variation of shear force in a cantilever carrying a load the intensity of which varies uniformly from zero at the free end to w per unit run at the fixed end is by

Question 8

The shape of the bending moment diagram for a uniform cantilever beam carrying a uniformly distributed load over its length is
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