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A rod of diameter 15mm and 50mm long is subjected to tensile load 25KN the modulus elasticity for steel rod may be taken as 200KN/mm find stress strain and elongation of the bar due to applied load?
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A rod of diameter 15mm and 50mm long is subjected to tensile load 25KN...
Stress, Strain and Elongation Calculation of a Steel Rod


Given Data:


  • Diameter of the rod (d) = 15mm

  • Length of the rod (L) = 50mm

  • Tensile Load (F) = 25KN

  • Modulus of Elasticity (E) = 200KN/mm



Calculation:


  • Cross-sectional area (A) = πd²/4


    • A = 3.14 x 15²/4

    • A = 176.71 mm²


  • Stress (σ) = F/A


    • σ = 25 x 10³/176.71

    • σ = 141.22 N/mm²


  • Strain (ε) = σ/E


    • ε = 141.22/200

    • ε = 0.7061 mm/mm


  • Elongation (δ) = ε x L


    • δ = 0.7061 x 50

    • δ = 35.31 mm




Explanation:

Given data consists of diameter, length, tensile load, and modulus of elasticity of a steel rod. We have to calculate the stress, strain, and elongation of the bar due to the applied load. Cross-sectional area is calculated by using the formula πd²/4. Stress is calculated by dividing the tensile load with the cross-sectional area. Strain is calculated by dividing the stress with the modulus of elasticity. Elongation is calculated by multiplying the strain with length. The steel rod will experience a stress of 141.22 N/mm², a strain of 0.7061 mm/mm, and elongation of 35.31 mm due to the applied load.
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A rod of diameter 15mm and 50mm long is subjected to tensile load 25KN...
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A rod of diameter 15mm and 50mm long is subjected to tensile load 25KN the modulus elasticity for steel rod may be taken as 200KN/mm find stress strain and elongation of the bar due to applied load?
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