Match 4 correct pairs between list I and List II for the questions
[GATE1994]
St. Venant's law: Maximum principal strain theory
Which theory of failure will you use for aluminium components under steady loading?
[GATE1999]
Aluminium is a ductile material so use maximum shear stress theory
According to VonMises' distortion energy theory, the distortion energy under three dimensional stress state is represented by
A small element at the critical section of a component is in a biaxial state of stress with the two principal stresses being 360 MPa and 140 MPa. The maximum working stress according to Distortion Energy Theory is:
[GATE1997]
According to distortion energy theory if maximum stress (σt) then
Match ListI (Theory of Failure) with ListII (Predicted Ratio of Shear Stress to Direct Stress at Yield Condition for Steel Specimen) and select the correct answer using the code given below the Lists:
[IES2006]
A circular solid shaft is subjected to a bending moment of 400 kNm and a twisting moment of 300 kNm. On the basis of the maximum principal stress theory, the direct stress is σ and according to the maximum shear stress theory, the shear stress is τ . The ratio σ/τ is:
[IES2000]
Design of shafts made of brittle materials is based on
[IES1993]
Rankine's theory or maximum principle stress theory is most commonly used for
brittle materials.
According to the maximum shear stress theory of failure, permissible twisting moment in a circular shaft is 'T'. The permissible twisting moment will the same shaft as per the maximum principal stress theory of failure will be:
[IES1998: ISRO2008]
principalstressesfor only thisshear stressare
maximum principal stress theory of failuregives
A cold roller steel shaft is designed on the basis of maximum shear stress theory. The principal stresses induced at its critical section are 60 MPa and  60 MPa respectively. If the yield stress for the shaft material is 360 MPa, the factor of safety of the design is
[IES2002]
For a twodimensional state stress the designed values are most conservative if which one of the following failure theories were used?
[IES1998]
Graphical comparison of different failure theories
Above diagram shows that will occur at 4th quadrant and most
conservative design will be maximum shear stress theory.
Who postulated the maximum distortion energy theory?
[IES2008]
Maximum shear stress theory → Tresca
Maximum principal stress theory → Rankine
Maximum principal strain theory → St. Venant
Maximum shear strain energy theory → Mises – Henky
If σy is the yield strength of a particular material, then the distortion energy theory is expressed as
[IES1994]
A transmission shaft subjected to bending loads must be designed on the basis of
[IES1996]
A rod having crosssectional area 100 x 10^{ 6} m^{2} is subjected to a tensile load. Based on the Tresca failure criterion, if the uniaxial yield stress of the material is 200 MPa, the failure load is:
[IES2001]
Tresca failure criterion is maximum shear stress theory.
Weknowthat
Who postulated the maximum distortion energy theory?
[IES2008]
For what is the physical boundary for Rankine failure theory?
[IAS2004]
Rankine failure theory or
Maximum principle stress theory.
Which one of the following graphs represents Mises yield criterion?
IAS1996]
The maximum distortion energy theory of failure is suitable to predict the failure of which one of the following types of materials?
[IES2004]
The ratio of Euler's buckling loads of columns with the same parameters having (i) both ends fixed, and (ii) both ends hinged is:
[GATE1998; 2002; IES2001]
Euler‟s buckling loads of columns
For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is
[GATE2012]
Four columns of same material and same length are of rectangular crosssection of same breadth b. The depth of the crosssection and the end conditions are, however different are given as follows:
Which of the above columns Euler buckling load maximum?
[IES2004]
Assertion (A): A long column of square crosssection has greater buckling stability than that of a column of circular crosssection of same length, same material, same end conditions and same area of crosssection.
Reason (R): The second moment of area of a column of circular crosssection is smaller than that of a column of square cross section having the same area.
[IAS1998]
For which one of the following columns, Euler buckling load
[IAS1999; 2004]
What is the expression for the crippling load for a column of length „l‟ with one end fixed and other end free?
[IES2006; GATE1994]
Euler's formula gives 5 to 10% error in crippling load as compared to experimental results in practice because:
[IES1998]








