SHEAR STRESSES IN BEAMS MULTIPLE CHOICE QUESTIONS (MCQ) WITH ANSWERS
SHEAR STRESSES IN BEAMS
MULTIPLE CHOICE QUESTIONS
(MCQ) WITH ANSWERS
MCQ on shear stresses greatly improves
clarity of the topic. Further, it will be
helpful in the design of beams. Shear stress
is maximum at the centroidal axis and zero
at the extreme fibers.
Fig. Shear stress distribution in typical sections
Fig. Variation of Shear Stress I Section Beam
Table: Important Results
Beam CrossSection 
τ_{max}/τ_{av} 
τ_{NA}/τ_{av} 
Circular 
4/3 
4/3 
Rectangular 
3/2 
3/2 
Triangular 
3/2 
8/3 

Shear stress variation in a beam is
(a) Linear
(b) Exponential
(c) Logarithmic
(d) None
ANS: (d)
2. Shear stress variation in a beam is
(a) Linear
(b) Exponential
(c) Parabolic
(d) None
ANS: (c)
3. Average shear stress in a beam is (Shear force is ‘V’)
(a) V/Z
(b) V/A
(c) V/M
(d) Non
ANS: (b)
4. In symmetrical beam sections, the maximum shear stress is in the
(a) Top extreme fiber
(b) Centroid axis fiber
(c) Bottom most fiber
(d) Non
ANS: (b)
5. The shear stress in a beam is
(a) Only longitudinal
(b) Only vertical
(c) Longitudinal as well as vertical
(d) Non
ANS: ©
6. In the shear stress in beam formula, τ = VA’ Y^{‘}/I b, A’ is the area
(a) Of the entire beam
(b) Above the centroid axis
(c) Below the centroid axis
(d) Non
ANS: (d)
7. In the shear stress in beam formula, τ = VA’ Y^{‘}/I b, A’ is the area
(a) Of the entire beam
(b) Above the centroid axis
(c) Above the fiber at distance y
(d) Non
ANS: (c)
8. In the shear stress formula of beam τ = VA’ Y^{‘}/I b,
Y^{‘} is the distance of centroid
(a) Of the entire area of the beam
(b) Of the area above the centroid axis
(c) Of the area below the centroid axis
(d) None
ANS: (d)

In the shear stress in beam formula
τ = VA’ Y^{‘}/I b, Y^{‘} is the distance of centroid
(a) Of the entire area of the beam
(b) Of the area above the centroid axis
(c) Of the area above the fiber at distance ‘y’
(d) None
ANS: (c)
10. The ratio of maximum shear stress to average shear stress in a beam of rectangular section is
(a) 1
(b) 2
(c) 3
(d) None
ANS:(d)

The ratio of maximum shear stress to average shear stress in a beam of rectangular section is
(a) 1. 5
(b) 2.5
(c) 3.5
(d) None
ANS:(a)

The ratio of maximum shear stress to average shear stress in a beam of circular section is
(a) 1/3
(b) 2/3
(c) 3/3
(d) Non
ANS:(d)
13. The ratio of maximum shear stress to average shear stress in a beam of circular section is
(a) 4/3
(b) 5/3
(c) 6/3
(d) Non
ANS:(a)
4. The ratio of maximum shear stress to average shear stress in a beam of triangular section is
(a) 1.5
(b) 2.5
(c) 3.5
(d) None
ANS:(a)
15. The ratio of maximum shear stress to average shear stress in a beam of triangular section is
(a) 1
(b) 2
(c) 3
(d) None
ANS:(d)
16. The ratio of shear stress in the lowermost fiber of a flange and the shear stress in the uppermost fiber of a web is
(a) >1
(b) < 1
(c) =1
(d) None
ANS:(b)
17. Greater portion of shear force in a beam of Isection is shared by
(a) Lower flange
(b) Upper flange
(c) Web
(d) None
ANS:(c)
^{18. Greater portion of bending moment in a beam of Isection is shared by}
(a) Flanges
(b) Web
(c) Equally by the flanges and the we
(d) None
ANS: (a)

Shear center in case of a channel section beam will lie
(a) Within the cross section
(b) Outside the cross section
(c) On the outer edge of the section
(d) None
ANS: (b)

Shear center in case of a I section beam will lie
(a) Within the cross section
(b) Outside the cross section
(c) On the outer edge of the section
(d) None
ANS: (a)
21. The direction of shear stress in a loaded beam is
(a) Horizontal
_{(b) Horizontal as well as vertical}
_{(c) Vertical}
_{(d) None}
(Ans: b)
22. Shear stress in the beam acting on the cross section is
(a) Normal to the cross section
(b) Tangential to the cross section
(c) Neither normal nor tangential
(d) None
(Ans: b)
23. Shear stress variation is
(a) Linear
(b) Polynomial
(c) Parabolic
(d) None
(Ans: c)
24. For a beam of rectangular cross section, the ratio
τ_{max}/ τ_{av} is
(a) 2
(b) 1
(c) 1.5
(d) None
(Ans: c)
25. Shear stress is zero at the
(a) Outermost fiber
(b) Central fiber
(c) Neither outermost nor central fiber
(d) None
(Ans: a)
26. Shear stress is maximum at the
(a) Outermost fiber
(b) Central fiber
(c) Neither outermost nor central fiber
(d) None
(Ans: b)
27. Shear stress in an Isection beam is maximum at the
(a) Outermost fiber
(b) At the junction of web and flange
(c) Central fiber
(d) None
(Ans: c)
28. For a beam of circular cross section, the ratio τ_{max}/ τ_{av} is
(a) 2/3
(b) 5/3
(c) 4/3
(d) None
(Ans: c)
29. For a beam of triangular cross section, the ratio τ_{max}/ τ_{av} is
(a) 3/2
(b) 4/2
(c) 5/2
(d) None
(Ans: a)
30. Shear stress causes
(a) Deformation
(b) Distortion
(c) Deformation as well as distortion
(d) None
(Ans: b)
31. Shear stress is given by the relation
(a) τ =V A y/I b
(b) τ =V A’ y’/I b
(c) τ =V (A +y)/I b
(d) None
ANS: (b)
32. Shear stress in a beam is given by
(a) M/I
(b) F/A
(c) M y/I
(d) None
ANS:(d)
31. A beam of triangular section with base ‘b’ and height ‘h’. It is subjected to shear force F_{s}. The shear stress at the neutral axis is
(a) 3 F_{s}/4bh
(a) 4 F_{s}/3bh
(a) 3 F_{s}/8bh
(d) None
ANS: (d)
32. A beam of triangular section with base ‘b’ and height ‘h’. It is subjected to shear force F_{s}. The shear stress at the neutral axis is
(a) 3 F_{s}/8bh
(a) 4 F_{s}/3bh
(a) 8 F_{s}/3bh
(d) None
ANS: (c)
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