Solved GATE Questions on Deflection of Beams
Question 1. The area moment of inertia of a square of size 1 unit about its diagonal is
(A) 1/3
(B) 1/4
(C) 1/12
(D) 1/6
GATE-ME-2001
Hint 1. (Ans C)
Question 2. A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measures will reduce the deflection?
(A) Increase the area moment of inertia
(B) Increase the span of the beam
(C) Select a different material having lesser modulus of elasticity
(D) Magnitude of the load to be increased
GATE-ME-2003
Hint 2. (Ans A)
From differential equations of elastic curve
Where y=deflection of beam.
As the I=Area moment increases, the deflection will reduce
Question 3. The second moment of a circular area about the diameter is given by (D is the diameter).
(A)
(B)
(C)
(D)
GATE=ME-2003
Hint 3.(Ans D)
Polar moment of inertia perpendicular to the plane of paper,
Now, applying “Perpendicular Axes” Theorem.
Data for Q. 4-5 are given below. Solve the problem and choose the correct option.
A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figure. Assume Esteel=200 GPa.
Question 4. The beam is subjected to a maximum bending moment of
(A) 3375 kNm
(B) 4750 kNm
(C) 6750 kNm
(D) 8750 kNm
GATE-ME-2004
Hint 4. Given b=120 mm, h=750 mm,
Esteel=200109 Pa
Question 5.The value of maximum deflection of the beam is
(A) 93.75 mm
(B) 83.75 mm
(C) 73.75 mm
(D) 63.75 mm
GATE-ME-2004
Hint 5. (Ans A)
Question 6. Two identical cantilever beams are supported as shown, with their free ends in contact through a rigid roller. After the load P is applied, the free ends will have
(A) Equal deflections but not equal slopes
(B) Equal slopes but mot equal deflections
(C) Equal slopes as well as equal deflections
(D) Neither equal slopes nor equal deflections
GATE-ME-2005
Hint 6. (Ans A)
Question 7. The maximum deflection of the beam is
(A)
(B)
(C) 8
(D)
GATE-ME-2011
Hint 7. (Ans D)
Strain Energy,
Question 8. The area moment of inertia about the neutral axis of a cross-section at a distance x measure from the free end is
(A)
(B)
(C)
(D)
GATE-ME-2011
Hint 8. (Ans. B)
At any distance x
Area moment of inertia,
Answer keys
1. (C) 2. (A) 3. (D) 4. (A) 5. (A) 6. (A) 7. (D) 8. (B)
One Response to “Previous Years GATE MCQ’s on Deflection of Beams 2001-2011”
VADLA THEJA
Sir,
I want previous years mechanical engg. Gate question papers.
Regards,