11. The stiffness coefficient k_ij indicates

1. 1. force at i due to a unit deformation at j

   
   
   

   2. deformation at j due to a unit force at i

   
   
   

   3. deformation at i due to a unit force j

   
   
   

   4. force at j due to a unit deformation i

   
   
   

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1. View Hint View Answer Discuss in Forum

   force at i due to a unit deformation at j

   Correct Option: A

   force at i due to a unit deformation at j

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12. A simply supported beam AB has the bending moment diagram as shown in the following figure. The beam is possibly under the action of following loads:
    

1. 1. Couples of M at C and 2M at D

   
   
   

   2. Couples of 2M at C and M at D

   
   
   

   3. Concentrated loads of M/L at C and 2M/L at D

   
   
   

   4. Concentrated loads of M/L at C and couple of 2M at D

   
   
   

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1. View Hint View Answer Discuss in Forum

   Variation of moment at D = (+m) – (–m) = 2m
   Variation of moment at C = (+m) = m

   Correct Option: A

   Variation of moment at D = (+m) – (–m) = 2m
   Variation of moment at C = (+m) = m

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13. Mohr’s circle for the state of stress defined by
    

    		30		0
    		0		30

    
    MPa is a circle with

1. 1. centre at (0, 0) and radius 30 MPa

   
   
   

   2. centre at (0, 0) and radius 60 MPa

   
   
   

   3. centre at (30, 0) and radius 30 MPa

   
   
   

   4. centre at (30, 0) and zero radius

   
   
   

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1. View Hint View Answer Discuss in Forum

   Principle stress, σ₁₁ = σ₂₂ (both 30)
   ∴ Radius of Mohr circle = σ₁₁ – σ₂₂ = 0
   In centre will be at (30, 0)

   Correct Option: D

   Principle stress, σ₁₁ = σ₂₂ (both 30)
   ∴ Radius of Mohr circle = σ₁₁ – σ₂₂ = 0
   In centre will be at (30, 0)

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14. For a linear elastic frame, if stiffness matrix is doubled, the existing stiffness matrix, the deflection of the resulting frame will be

1. 1. twice the existing value

   
   
   

   2. half the existing value

   
   
   

   3. the same as existing value

   
   
   

   4. indeterminate value

   
   
   

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1. View Hint View Answer Discuss in Forum

   Deflection α	1
   	stiffness

   Correct Option: B

   Deflection α	1
   	stiffness

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15. Considering beam as axially rigid, the degree of freedom of a plane frame shown below is
    

1. 1. 9

   
   
   

   2. 8

   
   
   

   3. 7

   
   
   

   4. 6

   
   
   

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1. View Hint View Answer Discuss in Forum

   D_k = (3 + 3 + 2 + 1) – 1 = 8 (beam is axially rigid)

   Correct Option: C

   D_k = (3 + 3 + 2 + 1) – 1 = 8 (beam is axially rigid)

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