Which one of the following theories gives satisfactory results for brittle materials ?

This question was previously asked in
ESE Mechanical 2021 Official Paper
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  1. Maximum principal stress theory
  2. Maximum shear stress theory
  3. Distortion energy theory
  4. Shear stress energy theory

Answer (Detailed Solution Below)

Option 1 : Maximum principal stress theory
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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Explanation:

The relation between the theories of failure, their suitable materials, and graphical representation is given below.

Theory

Suitable Material

Graphical Representation

Maximum Normal Stress Theory

Or

Maximum Principal Stress Theory

Or

Rankine’s Theory

Brittle material

F1 Ashik Madhu 21.08.20 D3

Maximum Normal Strain Theory

Or

Maximum Principal Strain Theory

Or

St.Venant’s Theory

Ductile and brittle material but results are not accurate in both

F1 Ashik Madhu 21.08.20 D4

Maximum Shear Stress Theory 

Or

   Guest & Tresca’s Theory

Ductile material

F1 Ashik Madhu 21.08.20 D5

Maximum Strain Energy Theory

Or

Haigh and Beltrami Theory

Ductile material

F1 Ashik Madhu 211.08.20 D6

Maximum Shear Strain Energy Theory

Or

Distortion Energy Theory

Or

Von Mises Henky Theory

Ductile material

F1 Ashik Madhu 21.08.20 D66

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