# Consider the following theories of failure 1. Maximum stress theory 2. Maximum strain theory  3. Maximum shear stress theory 4. Maximum energy or distortion theory

1.  1&2

2.  1&3

3.  1&4

4.  3&4

4

3&4

Explanation :
No Explanation available for this question

# According to Tresca tielding occurs when Tmax is equal to

1.  √(2/3)σy

2.  σy

3.  (1/2 )σy

4.  2σy

4

(1/2 )σy

Explanation :
No Explanation available for this question

# The elastic strain energy stored in a rectangular cantilever beam of length L, subjected to a B.M, M applied at the end of it is

1.  M2L/2EI

2.  ML2/2AE

3.  ML2/3EI

4.  ML2/16EI

4

M2L/2EI

Explanation :
No Explanation available for this question

# A shaft subjected to a maximum bending stress of 80 N/mm2 and maximum shearing stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 280 N/mm2, and maximum shear stress theory of failure is used, then the factor of safety obtained will be

1.  2.5

2.  2.8

3.  3.0

4.  3.5

4

2.8

Explanation :
No Explanation available for this question

# If σy is the yield strength of a particular material, then the distortion energy theory is expressed as

1.  (σ1-σ2)2 + (σ2-σ3)2 + (σ3-σ1)2 =2σ2y

2.  (σ21 +σ22 +σ23) - 2υ (σ1σ2 + σ2σ3+ σ3σ1) = σ2y

3.  (σ1-σ2)2 + (σ2-σ3)2 + (σ3-σ1)2 =3σ2y

4.  (1-2υ) (σ1 +σ2 +σ3) = 2(1+υ) σ2y

4

12)2 + (σ23)2 + (σ31)2 =2σ2y

Explanation :
No Explanation available for this question

# Design of shafts made of brittle materials is based on:

1.  Guest’s theory

2.  Rankine’s theory

3.  St. Venant’s theory

4.  Von Mises appropriate

4

Rankine’s theory

Explanation :
No Explanation available for this question

# For ductile materials, the most appropriate failure theory is:

1.  Maximum shear most conservative stress theory

2.  Maximum principal strain theory

3.  Maximum strain theory

4.  Maximum shear energy theory

4

Maximum shear energy theory

Explanation :
No Explanation available for this question

# For the design of a cast iron member, the most appropriate theory of failure is

1.  Mohr’s theory

2.  Rankine’s theory

3.  Maximum strain theory

4.  Maximum shear energy theory

4

Maximum strain theory

Explanation :
No Explanation available for this question

# According to the Distortion Energy Theory, failure will NOT occur when (symbols have the usual meaning)

1.   [((σ1-σ2)2 + (σ2-σ3)2 + (σ3-σ1)2 )/2]1/2≤ σn

2.   [(σ1-σ2)2 + 4π2]1/2 ≤ σn

3.  [(σ21 +σ22 +σ23) – 1/m (σ1σ2 + σ2σ3+ σ3σ1)]1/2≤ σn

4.  (σ1+σ2)+ [((σ1-σ2)2 /2) 4π2]1/2 ≤ σn

4

[((σ12)2 + (σ23)2 + (σ31)2 )/2]1/2≤ σn

Explanation :
No Explanation available for this question

# All the failure theories give nearly the same result

1.  When one of the principal stresses at a point is larger in comparison to the other

2.  When shear stresses act

3.  When both the principal stresses are numerically equal

4.  For all situations of stress

4