A steel bar of 20 mm × 20 mm square crosssection is subjected to an axial compressive load of 200 kN. If the length of the bar is 1 m and E =100 GPa, the contraction of the bar will be

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ISRO LPSC Technical Assistant Mechanical 23 Feb 2020 Official Paper
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  1. 0.2 mm
  2. 2.5 mm
  3. 5 mm
  4. 0.5 m

Answer (Detailed Solution Below)

Option 3 : 5 mm
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Detailed Solution

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Concept:

Elongation  or Contraction in the rod when an axial force is applied is given by:

where P is axial load, L is the length of the bar, δL is the elongation in the length of the bar, A is a cross-section area of the bar, E is Young's modulus of elasticity.

Calculation:

Given:

P = 200 kN, L = 1 m, A = 20 mm × 20 mm, E = 100 GPa

contraction of the bar

Hence the required contraction of the bar will be 5 mm.

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