Test: Theory of Columns - 2


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6 Questions MCQ Test GATE Civil Engineering (CE) 2023 Mock Test Series | Test: Theory of Columns - 2

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Test: Theory of Columns - 2 - Question 1

The rectangular column shown in the figure below carries a load P having eccentricities ‘ex’ and ' ey ’ along the x-axis and y-axis respectively. The stress at any point (*, y) is given by

Detailed Solution for Test: Theory of Columns - 2 - Question 1

Stress at any point

Test: Theory of Columns - 2 - Question 2

Euler’s formula for a mild steel long column hinged  at both end is not valid for slenderness ratio

Detailed Solution for Test: Theory of Columns - 2 - Question 2

According to Euler's theory,

For a mild steel coumn,
σy = 300 N/mm2 and 
E = 2.1 x 105

Hence, when the slenderness ratio is less than this limit for mild steel columns , Euler’s formula will not be valid.

Test: Theory of Columns - 2 - Question 3

The buckling load for a column pinned at both ends is 10kN. If the ends are fixed, the buckling load changes to

Detailed Solution for Test: Theory of Columns - 2 - Question 3


For both ends pinned,
 = 4 x 10 = 40kN

Test: Theory of Columns - 2 - Question 4

The radius of gyration of a rectangular section (depth d, width b) from a centroidal axis parallel to the width is

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Radius of gyration,

Test: Theory of Columns - 2 - Question 5

For no tension in column of diameter D, the eccentricity of the compressive load must be less than

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For no tension condition, 

Test: Theory of Columns - 2 - Question 6

The Rankine constant in the formula for axial loads on column made of material of crushing strength fc and modulus of elasticity E is

Detailed Solution for Test: Theory of Columns - 2 - Question 6

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