2.4 kN का एक संपीड़ित भार 200 sq. mm क्षेत्र और 20 mm ऊंचे गोलाकार छड़ पर कार्यरत है। यह 0.15 mm के संपीड़न का अनुभव करता है। तब, सामग्री का यंग मापांक कितना है?

This question was previously asked in
HPCL Engineer Mechanical 12 Aug 2021 Official Paper (Shift 1)
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  1. 3200 MPa
  2. 120 MPa
  3. 1600 MPa
  4. 1500 MPa

Answer (Detailed Solution Below)

Option 3 : 1600 MPa
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Detailed Solution

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Concept:

Deflection of bar under axial loading​​:

\(δ = \frac{PL}{AE}\)

where P = load, L = length, A = cross sectional area, E = Young's modulus.

Calculation:

Given:

P = 2.4 kN, A = 200 mm2, L = 20 mm, δ = 0.15 mm.

Deflection of bar under axial loading​​:

\(δ = \frac{PL}{AE}\)

\(0.15= \frac{2.4\;\times\;10^3\;\times \;20}{200\;\times\;E}\)

\(E= \frac{2.4\;\times\;10^3\;\times \;20}{200\;\times\;0.15}=1600\;N/mm^2\;or\;MPa\)

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