GATE 2019: Strength of Material Quiz 10

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Question 1

A cantilever beam is deflected by δ due to load P. If length of beam is doubled, the deflection compared to earlier case will be changed by a factor of _______.

• A2
• B1/2
• C1/8
• D8

Question 2

Deflection profile of a beam is known as

• Alinear curve
• Belastic curve
• Cparabolic curve
• Dnone of these

Question 3

Find the maximum deflection of the beam in the figure? [E = modulus of elasticity, I = moment of inertia, K_r = Stiffness of the rotational spring, L = length of the beam]

• A
• B
• C
• D

Question 4

A 3 metre long beam, simply supported at its ends, carries a point load ‘W’ at its centre. If the slope at the ends of beam is 2 °, then the deflection at the centre of beam will be ____ mm.

• A61.12
• B29.55
• C34.91
• D48.31

Question 5

A force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at ‘A' is equal to zero?

• A0.5L
• B0.25L
• C0.33L
• D0.66L

Question 6

A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measures will reduce the deflection?

• A Increase the area moment of inertia
• B Increase the span of the beam
• C Select a different material having lesser modulus of elasticity
• D Magnitude of the load to be increased

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