1. 1&2
2. 1&3
3. 1&4
4. 3&4
3&4
1. √(2/3)σy
2. σy
3. (1/2 )σy
4. 2σy
(1/2 )σy
1. M2L/2EI
2. ML2/2AE
3. ML2/3EI
4. ML2/16EI
M2L/2EI
1. 2.5
2. 2.8
3. 3.0
4. 3.5
2.8
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
(σ1-σ2)2 + (σ2-σ3)2 + (σ3-σ1)2 =2σ2y
1. Guest’s theory
2. Rankine’s theory
3. St. Venant’s theory
4. Von Mises appropriate
Rankine’s theory
1. Maximum shear most conservative stress theory
2. Maximum principal strain theory
3. Maximum strain theory
4. Maximum shear energy theory
Maximum shear energy theory
1. Mohr’s theory
2. Rankine’s theory
3. Maximum strain theory
4. Maximum shear energy theory
Maximum strain theory
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
[((σ1-σ2)2 + (σ2-σ3)2 + (σ3-σ1)2 )/2]1/2≤ σn
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
When one of the principal stresses at a point is larger in comparison to the other