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GATE 2020: Strength of Material Quiz 10

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Question 1

The given figure shows a cantilever of span ‘L’ subjected to a concentrated load ‘P’ and a moment ‘M’ at the free end. Deflection at the free end is given by

Question 2

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 _______.

Question 3

In the cantilever beam PQR shown in figure below, the segment PQ has flexural rigidity EI and the segment QR has infinite flexural rigidity

The deflection and slope of the beam at Q are respectively ___________?

Question 4

A beam of length L and flexural rigidity EI is simply supported at the ends and carries a concentrated load W at the middle of the span. Another beam of identical length and flexural rigidity EI is fixed horizontally at both ends and carries an identical concentrated load W at the mid-span. The ratio of central deflection of the first beam to the second beam is

Question 5

A cantilever of length 3m carries a uniformly distributed load of 3.5kN/m run for a length of 2.25m from fixed end and a point load of 2kN at free end. Find the deflection at the free end if section is rectangular 15cm wide and 25cm deep. Take: E= 1×N/.

Question 6

A beam of length 5m is simply supported at its ends and carries a point load of 50kN at a distance of 4m from left support. Find the deflection under the load. Given, MOI. =7.33×107mm4, &  E= 2×105N/mm2 .
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