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Test: Struts & Columns - 1 - Mechanical Engineering MCQ


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15 Questions MCQ Test - Test: Struts & Columns - 1

Test: Struts & Columns - 1 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Struts & Columns - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Struts & Columns - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Struts & Columns - 1 below.
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Test: Struts & Columns - 1 - Question 1

Slenderness ratio has dimensions of

Detailed Solution for Test: Struts & Columns - 1 - Question 1

Slenderness ratio

Test: Struts & Columns - 1 - Question 2

Consider a column of aluminium alloy having modulus of elasticity 70 x 105 N/cm2 and a yield strength of 50 x 102 N/cm2. The least value of slenderness ratio will be closer to 

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Test: Struts & Columns - 1 - Question 3

Two steel struts have the same cross-sectional areas. One is a solid one and the other is a hollow with internal diameter three-fourth of the external diameter. The ratio of the strength of the solid steel strut to that of the hollow one is

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Test: Struts & Columns - 1 - Question 4

All of the following statements about kern are correct, except

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The kern of a rectangular section is diamond shaped.

Test: Struts & Columns - 1 - Question 5

The ratio of the core of a circular section to the area of circular section when used as a short column is

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*Answer can only contain numeric values
Test: Struts & Columns - 1 - Question 6

A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is _____ (correct to two decimal places)


Detailed Solution for Test: Struts & Columns - 1 - Question 6

Length of steel column L = 1.5 m = 1500 mm

We know that for simply supported at both ends,

Substituting the given values in above equation, we get

P = 1096.62 N = 1.096 kN

Hence, the correct answer is 1.096.

Test: Struts & Columns - 1 - Question 7

Euler’s formula gives 5 to 10% error in crippling load as compared to experimental results in practice due to

Test: Struts & Columns - 1 - Question 8

The ratio of critical loads a column can carry when it end conditions are best and worst is

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Test: Struts & Columns - 1 - Question 9

For the case of a slender column of length l, and flexural rigidity E1 built-in at its base and free at the top, the Euler’s critical buckling load is

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Effective length for column with one end fixed and other end free is

Leq = 2L

Euler load is

Hence, the correct option is (d).

Test: Struts & Columns - 1 - Question 10

For a long slender column of uniform cross-section, the ratio of critical buckling load for the case with both ends clamped to the ease with both ends hinged is 

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Euler critical load for column with both ends clamped is

Euler critical load for column with both ends hinged is

Hence, the correct option is (c).

Test: Struts & Columns - 1 - Question 11

The column of length 240 cm, area of cross- section 20 cm 2, moment of inertia 1XX = 720 cm4 and Iyy = 80 cm4 is subject to buckling load. The data corresponds to slenderness ratio

Detailed Solution for Test: Struts & Columns - 1 - Question 11

and

Slenderness ratio is the ratio of length and least radius of gyration

∴ 

Test: Struts & Columns - 1 - Question 12

The slenderness of a column is zero when

Test: Struts & Columns - 1 - Question 13

A column of rectangular cross-section (IXX > IYY) is subject to an axial load. What is the axis about which the column will have atendency to buckle?

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Buckling tendency is always along least radius of gyration.

Test: Struts & Columns - 1 - Question 14

The minimum axial compressive load, P, required to initiate buckling for a pinned-pinned slender column with bending stiffness EI and length L is 

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Ends of the columns:

In this question:

Test: Struts & Columns - 1 - Question 15

If the length of a column is double, the criteria load becomes

Detailed Solution for Test: Struts & Columns - 1 - Question 15

Euler critical load for both ends hinged case is

Now if length is doubled,

Hence, the correct option is (b).

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