# Slope and Deflection of Beams - Mechanical Engineering (MCQ) questions and answers

1)   Which of the following is a differential equation for deflection?

a. dy / dx = (M/EI)
b. dy / dx = (MI/E)
c. d2y / dx2 = (M/EI)
d. d2y / dx2 = (ME/I)
 Answer  Explanation ANSWER: d2y / dx2 = (M/EI) Explanation: No explanation is available for this question!

2)   A simply supported beam carries uniformly distributed load of 20 kN/m over the length of 5 m. If flexural rigidity is 30000 kN.m2, what is the maximum deflection in the beam?

a. 5.4 mm
b. 1.08 mm
c. 6.2 mm
d. 8.6 mm
 Answer  Explanation ANSWER: 5.4 mm Explanation: No explanation is available for this question!

3)   Which of the following is an elastic curve equation for shear force?
(EI = flexural rigidity)

a. S = EI (dy/dx)
b. S = EI (d2y /dx2)
c. S = EI (d3y / dx3)
d. S = EI (d4y/ dx4)
 Answer  Explanation ANSWER: S = EI (d3y / dx3) Explanation: No explanation is available for this question!

4)   In cantilever beam, slope and deflection at free end is _____

a. zero
b. maximum
c. minimum
d. none of the above
 Answer  Explanation ANSWER: maximum Explanation: No explanation is available for this question!

5)   According to I.S. code in actual design, maximum permissible deflection is limited to _______

a. (span / 200)
b. (span / 325)
c. (span / 525)
d. none of the above
 Answer  Explanation ANSWER: (span / 325) Explanation: No explanation is available for this question!

6)   Deflection of a simply supported beam when subjected to central point load is given as ________

a. (Wl /16 EI)
b. (Wl2 /16 EI)
c. (Wl3 /48 EI)
d. (5Wl4 / 384EI)
 Answer  Explanation ANSWER: (Wl3 /48 EI) Explanation: No explanation is available for this question!

7)   Which of the following statements is/are true for a simply supported beam?

a. Deflection at supports in a simply supported beam is maximum
b. Deflection is maximum at a point where slope is zero
c. Slope is minimum at supports in a simply supported beam
d. All of the above
 Answer  Explanation ANSWER: Deflection is maximum at a point where slope is zero Explanation: No explanation is available for this question!

8)   The design of a beam is based on strength criteria, if the beam is sufficiently strong to resist _______

a. shear force
b. deflection
c. both a. and b.
d. none of the above
 Answer  Explanation ANSWER: shear force Explanation: No explanation is available for this question!

9)   The vertical distance between the axis of the beam before and after loading at a point is called as _______

a. deformation
b. deflection
c. slope
d. none of the above
 Answer  Explanation ANSWER: deflection Explanation: No explanation is available for this question!

10)   Macaulay's method is used to determine ______

a. deflection
b. strength
c. toughness
d. all of the above
 Answer  Explanation ANSWER: deflection Explanation: No explanation is available for this question!