Question
Download Solution PDFA cold rolled steel is designed on basis of maximum shear stress theory. The principal stresses induced at its critical section are 60 MPa and -60 MPa respectively. It yield stress for the shaft material is 360 MPa, FOS of design is
Answer (Detailed Solution Below)
3
Detailed Solution
Download Solution PDFConcept:
Maximum shear stress theory (Guest & Tresca’s Theory)
According to this theory, failure of the specimen subjected to any combination of a load when the maximum shearing stress at any point reaches the failure value equal to that developed at the yielding in an axial tensile or compressive test of the same material.
For no failure
For design
where,
τmax = Maximum shear stress
σy = Yield stress
σ1 and σ2 are maximum and minimum principal stress respectively
Calculation:
Given:
σ1 = 60 MPa, σ2 = -60 MPa, σy = 360 MPa
Now,
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