In a two-dimensional stress system, the principal stresses are σ1 = 200 N/mm2 (tensile) and σ2 (compressive). The yield stress in compression is 250 N/mm2, with μ = 0.25. What will be the value of σ2 according to the maximum normal strain theory?

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ESE Civil 2014 Paper 1: Official Paper
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  1. 160 N/mm2
  2. 100 N/mm2
  3. 200 N/mm2
  4. 250 N/mm2

Answer (Detailed Solution Below)

Option 3 : 200 N/mm2
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ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

According to maximum Normal Strain (principal strain) theory:

Maximum principal strain due to loading = maximum principal strain due to elastic limit

σ1 – μσ2 = fy

Wherein,

σ1  and σ­2 are principle stresses and fy is the yield stress

Calculation:

Consider tensile stresses positive and compressive stresses negative.

Given,

σ1 = 200 N/mm2 (tensile) ; σ2 =  σ (Compressive) ; μ = 0.25; fy = 250 MPa

σ = 200 MPa

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