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For ductile material the suitable theory of failure is:

For ductile material the suitable theory of failure is: Correct Answer Maximum shear stress theory

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

[ alt="F1 Ashik Madhu 21.08.20 D3" src="//storage.googleapis.com/tb-img/production/20/08/F1_Ashik_Madhu_21.08.20_D3.png" style="width: 267px; height: 247px;">

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

[ alt="F1 Ashik Madhu 21.08.20 D4" src="//storage.googleapis.com/tb-img/production/20/08/F1_Ashik_Madhu_21.08.20_D4.png" style="width: 250px; height: 296px;">

Maximum Shear Stress Theory 

Or

   Guest & Tresca’s Theory

Ductile material

[ alt="F1 Ashik Madhu 21.08.20 D5" src="//storage.googleapis.com/tb-img/production/20/08/F1_Ashik_Madhu_21.08.20_D5.png" style="width: 203px; height: 189px;">

Maximum Strain Energy Theory

Or

Haigh and Beltrami Theory

Ductile material

[ alt="F1 Ashik Madhu 21.08.20 D6" src="//storage.googleapis.com/tb-img/production/20/08/F1_Ashik_Madhu_21.08.20_D6.png" style="width: 298px; height: 277px;">

Maximum Shear Strain Energy Theory

Or

Distortion Energy Theory

Or

Von Mises Henky Theory

Ductile material

[ alt="F1 Ashik Madhu 21.08.20 D6" src="//storage.googleapis.com/tb-img/production/20/08/F1_Ashik_Madhu_21.08.20_D6.png" style="width: 298px; height: 277px;">

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