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# GATE 2020: Strength of Material Quiz 1

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Question 1

If the ratio

*G/E*(G = Rigidity modulus,*E =*Young’s modulus of elasticity) is 0.4, then what is value of the Poisson ratio?Question 2

The maximum strain energy corresponding to the stress at the elastic limit is known as ____

Question 3

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 1cm^{2} and 2cm^{2} respectively. The magnitude of load *P* required to fill up the gap of 0.75 mm is

Question 4

A rectangular region in a solid is in a state of plane strain. The (x,y) coordinates of the corners of the under deformed rectangle are given by P(0,0), Q (4,0), S (0,3). The rectangle is subjected to uniform strains, The deformed length of the elongated diagonal, up to three decimal places, is _________ units.

Question 5

A steel rod of cross-sectional area 10 mm

Is subjected to loads at points P, Q, R and S as shown in the figure below:

If E

^{2}Is subjected to loads at points P, Q, R and S as shown in the figure below:

If E

_{steel}= 200 GPa, the total change in length of the rod due to loading isQuestion 6

The pressure on the fluid is 3 MPa. The Young’s modulus is 210 GPa and the Poisson’s ratio is 0.25, the volumetric compressive strain produced is

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Aug 13ESE & GATE ME

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