Principle Stress, strain and strain energy

TOTAL MECHANICAL ENGINEERING

 Section 

Simple Stress and Strain.

Principle Stress, Strain and Strain energy.

Stresses in Beam.

Deflection of beam.

Torsion and Axially Loaded Column.

Mechanics of Material

Quiz

 

1. Strain energy is the
   1.   energy stored in a body when strained within elastic limits
   2.   energy stored in a body when strained up to the breaking of a specimen
   3.   maximum strain energy which can be stored in a body
   4.   proof resilience per unit volume of a material
2. A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be
   1.   400 MPa
   2.   500 MPa
   3.   900 MPa
   4.   1400 MPa
3. The stress induced in a body, when suddenly loaded, is____________ the stress induced when the same load is applied gradually.
   1.   equal to
   2.   one-half
   3.   twice
   4.   four times
4. Strain rosettes are used to
   1.   measure shear strain
   2.   measure linear strain
   3.   measure volumetric strain
   4.   relieve strain
5. Resilience is the
   1.   energy stored in a body when strained within elastic limits
   2.   energy stored in a body when strained upto the breaking of the specimen
   3.   maximum strain energy which can be stored in a body
   4.   none of the above
6. Which of the following statement is correct?
   1.   The energy stored in a body, when strained within elastic limit is known as strain energy.
   2.   The maximum strain energy which can be stored in a body is termed as proof resilience.
   3.   The proof resilience per unit volume of a material is known as modulus of resilience.
   4.   The proof resilience per unit volume of a material is known as modulus of resilience.
7. Principle plane is a plane on which the shear stress is
   1.   zero
   2.   minimum
   3.   maximum
   4.   none
8. The bending moment in the centre of a simply supported beam carrying uniformly
   distributed load of w per unit length is
   1.   zero
   2.   wl2/2
   3.   wl2/4
   4.   wl2/8
9. The resultant stress on an inclined plane which is inclined at an angle θ to the
   normal
   cross-section of a body which is subjected to a direct tensile stress (ζ) in one plane, is
   1.   σ sin θ
   2.   σ cos θ
   3.   σ sin 2θ
   4.   σ cos 2θ
10. When a body is subjected to a direct tensile stress (ζ) in one plane, the maximum
    shear stress is__________ the maximum normal stress.
    1.   equal to
    2.   one-half
    3.   two-third
    4.   twice
11. The total strain energy stored in a body is termed as
    1.   resilience
    2.   proof resilience
    3.   impact energy
    4.   modulus of resilience
12. Modulus of resilience is the proof resilience per unit volume of a material.
    1.   Correct
    2.   Incorrect
13. A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile
    stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear
    stress of 400 MPa on the same planes. The minimum normal stress will be
    1.   400 MPa
    2.   500 MPa
    3.   900 MPa
    4.   1400 MPa
14. The direct stress, across a principal plane, is known as principal stress.
    1.   Yes
    2.   No
    3.   both
    4.   none
15. A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied by
    a simple shear stress of 200 MPa. The maximum shear stress will be
    1.   -100 MPa
    2.   250 MPa
    3.   300 MPa
    4.   400 MPa
16. Mohr's circle is used to determine the stresses on an oblique section of a body
    subjected todirect tensile stress in one plane accompanied by a shear stress
    1.   direct tensile stress in one plane accompanied by a shear stress
    2.   direct tensile stress in two mutually perpendicular directions
    3.   direct tensile stress in two mutually perpendicular directions accompanied by a simple
       shear stress
    4.   all of the above
17. The maximum shear stress is equal to the radius of Mohr's circle.
    1.   Correct
    2.   Incorrect
    3.   none
18. When a body is subjected to a direct tensile stress (ζ) in one plane, then normal stress
    on
    an oblique section of the body inclined at an angle θ to the normal of the section is
    1.   σ cos θ
    2.   σ cos
    3.   σ sin θ
    4.   σ sin2 θ
19. A body is subjected to a direct tensile stress (ζ) in one plane. The shear stress is
    maximum at a section inclined at________ to the normal of the section.
    1.   45° and 90°
    2.   45° and 135°
    3.   60° and 150°
    4.   30° and 135°
20. The strain energy stored in a body, when suddenly loaded, is _______the
    strain energy stored when same load is applied gradually.
    1.   equal to
    2.   one-half
    3.   twice
    4.   four times
21. The capacity of a strained body for doing work on the removal of the straining
    force, is called
    
    1.   strain energy
    2.   resilience
    3.   proof resilience
    4.   impact energy
22. A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied
    by a simple shear stress of 200 MPa. The minimum normal stress will be
    1.   -100 MPa
    2.   250 MPa
    3.   300 MPa
    4.   400 MPa
23. When a body is subjected to a direct tensile stress (ζ) in one plane, then maximum normal stress occurs at a section inclined at______ to the normal of the section.
    1.   0°
    2.   30°
    3.   45°
    4.   90°
24. The point of contra flexure is a point where
    1.   shear force changes sign
    2.   bending moment changes sign
    3.   shear force is maximum
    4.   . bending moment is maximum
25. When shear force at a point is zero, then bending moment is ______at that point.
    1.   zero
    2.   minimum
    3.   maximum
    4.   infinity