Solved GATE Questions on Stresses in Beams
Question1. Bars AB and BC, each of negligible mass, support load P as shown in the figure. In this arrangement,
(A) Bar AB is subjected to bending but bar BC is not subjected to bending
(B) Bar AB is not subjected to bending but bar BC is subjected to bending
(C) Neither Bar AB nor bar BC is subjected to bending
(D) Both bars AB and BC are subjected to bending
GATE-ME-2001
Hint 1. (Ans C)
Question 2. Two beams, one having square cross section and another circular cross-section, are subjected to the same amount of bending moment. If the cross-sectional area as well as the material of both the beams are same then
(A) Maximum bending stress developed in both the beams is the same
(B) The circular beam experiences more bending stress than the square one
(C) The square beam experiences more bending stress than the circular one
(D) As the material is same both the beams will experience same deformation
GATE-ME-2003
Hint 2. (Ans. B)
Since cross-sectional area of square and circular cross-sections are equal.
Let d=diameter of the circular cross-sections are equal.
a2=side of square
/4d2=a2
Now, 
for circular cross-section
for square cross-section
Question 3. A cantilever beam has square cross-section 10mm x 10mm. It carries a transverse load of 10 N. Considering only the bottom fibres of the beam, the correct representation of the longitudinal variation of the bending stress is
(A) 
(B) 
(C) 
(D) 
GATE-ME-2005
Statement for Linked Answer Question 4 & 5
Hint 3. (Ans. A)
Here,
At left extreme of cantilever
And it will continue over whole span
A simply supported beam of span length 6 m and 75 mm diameter carries a uniformly distributed load of 1.5 kN/m
GATE-ME-2006
Question 4.What is the maximum value of bending stress?
(A) 9 kNm
(B) 13.5 kNm
(C) 81 kNm
(D) 125 kNm
Hint 4. (Ans *)
Where, w=weight per unit length
And L=length of rod
Here, L=6 m, 
=1.5 kN/m
Question 5. What is the maximum value of bending stress?
(A) 162.98
(B) 325.95
(C) 625.95
(D) 651.90
GATE-ME-2006
Hint 5. (Ans A)
Question 6. For the component loaded with a force F as shown in figure, the axial stress at the corner point P is
(A) 
(B) 
(C) 
(D) 
GATE-ME-2008
Hint 6. (Ans D)
Bending moment about p is given as,
Axial stress due to direct load F, 
Question 7. The transverse shear stress acting in a beam of rectangular cross-section, subjected to a transverse shear load. Is
(A) Variable with maximum at the bottom of the beam
(B) Variable with maximum at the top of the beam
(C) Uniform
(D) Variable with maximum at the neutral axis
GATE-ME-2008
Hint 7. (Ans D)
Statement for Linked Answer Question 8 and 9:
A massless beam has a loading pattern as shown in the figure. The beam is of rectangular cross-section with a width of 30 mm and height of 100 mm
GATE-ME-2008
Question 8. The maximum bending moment occurs at
(A) Location B
(B) 2675 mm to the right of A
(C) 2500 mm right to the A
(D) 3225 mm to the right of A
GATE-ME-2010
Hint 8. (Ans C)
S.F. equation at any section x from end A.
Question 9. The maximum magnitude of bending stress (in MPa) is given by
(A) 60.0
(B) 67.5
(C) 200.0
(D) 225.0
GATE-ME-2010
Hint 9.
Answer keys
1. (C) 2. (B) 3. (A) 4. (*) 5. (A) 6. (D) 7. (D) 8. (C) 9. (B)
2 Responses to “Previous Years GATE MCQ’s on Stresses in Beams 2001-2010”
rajkumar
Nice explanation for gate questions…
admin
Thanks for the appreciation.