Quiz : 2 – Solid Mechanics or Strength of Materials (Part-II)

 

1. The following statement are related to bending of beams

I. The slope of the bending moment diagram is equal to the shear force.

II. The slope of the shear force diagram is equal to the load intensity.

III. The slope of the curvature is equal to the flexural rotation.

IV. The second derivative of the deflection is equal to the curvature.

The only FALSE statement is

a) I

b) II

c) III

d) IV

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2. Two people weighing W each are sitting on a plank of length L floating on water at L/4 from either end. Neglecting the weight of the plank, the bending moment at the centre of the plank is

a) WL/8

b) WL/16

c) WL/32

d) zero

Answer →

 

3. The bending moment diagram for a beam is given below:

 

 

 

 

 

 

The shear force at sections aa’and bb’ respectively are of the magnitude

a) 100 kN, 150 kN

b) zero, 100 kN

c) zero, 50 kN

d) 100 kN, 100 kN

Answer →

 

4. If an element of a stressed body is in a state of pure shear with a magnitude of 80 N/mm2, the magnitude of maximum principal stress at that location is

a) 80 N/mm2

b) 113.14 N/mm2

c) 120 N/mm2

d) 56.57 N/mm2

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5. If principal stresses in a two-dimensional case are -10 MPa and 20 MPa respectively, then maximum shear stress at the point is

a) 10 MPa

b) 15 MPa

c) 20 MPa

d) 30 MPa

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6. For a given shear force across a symmetrical I-section, the intensity of shear stress is maximum at

a) extreme fibres

b) centroid of the section

c) at the junction of the flange and the web but on the web

d) at the junction of the flange and the web but on the flange

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7. The “plane section remain plane” assumption in bending theory implies

a) strain profile is linear

b) stress profile is linear

c) both profiles are linear

d) shear deformation is neglected

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8. For the structure shown below, the vertical deflection at point A is given by

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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9. The simply supported beam is subjected to a uniformly distributed load of intensity w per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as l and EI respectively. The deflection at mid-span of the beam is

 

 

 

 

 

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10. A solid circular shaft of diameter d and length L is fixed at one end and free at the other end. A torque T is applied at the free end, The shear modulus of the material is G. The angle of twist at the free end is

 

 

 

 

 

Answer →