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GATE 2023 II Strength of Material II Champion Quiz 3
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Question 1
Mohr’s circle for the state of stress defined by 
MP is a circle with
MP is a circle withQuestion 2
For the cantilever beam of span 3 m as shown below, a concentrated load of 20 kN applied at the free end causes a vertical displacement of 2 mm at a section located at a distance of 1 m from the fixed end. If a concentrated vertically downward load of 10 kN is applied at the section located at a distance of 1 m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam is ____ mm.
Question 3
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 4
A simply supported beam AB shown below is loaded with a couple μ at the end B . For the given beam, the equation of the elastic curve will be ______.
Question 5
A simply supported beam is subjected to unsymmetric load as shown in figure
The deflection is maximum at
Question 6
A column of length 4m and diameter 5cm is fixed at one end and hinged at the other end. Calculate the safe load for this column using a factor of safety of 4.
For Rankine’s formula use: 
Question 7
A column of square cross section of side 100 × 100 mm2. Find the radius of gyration for column (in mm).
Question 8
A circular column of length 3m has Euler’s buckling load of 20kN. If the diameter of the column is reduced by 10%, the new Euler buckling load will be __________kN(correct up to 2 decimal values).
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