This set of Strength of Materials Multiple Choice Questions on “Slope”.
1. Slope in the beam at any point is measured in ____________
a) Degrees
b) Minutes
c) Radians
d) Metric tonnes
Answer: c
Clarification: The slope is defined as at any point on the bent beam is the angle measured in terms of radians to which the tangent at that point makes with the x axis.
2. Elastic curve is also known as __________
a) Refraction curve
b) Reflection curve
c) Deflection curve
d) Random curve
Answer: c
Clarification: An elastic curve is defined as the line to which the longitudinal axis of a beam deviates under given load. It is also called a deflection curve.
3. Which of the following method is not used for determining slope and deflection at a point?
a) Moment area method
b) Double integration method
c) Isoheytal method
d) Macaulay’s method
Answer: c
Clarification: The method “Isoheytal” can be used for calculating run-off over an area. The remaining methods are effectively adopted to calculate the slope and deflection at a point in any type of beam.
4. The slope is denoted by _______
a) k
b) y
c) i
d) c
Answer: c
Clarification: The slope at any section in a deflection beam is defined as the angle measured in radians to the tangent at the section makes with the original axis of the beam.
•It is denoted by “i”.
5. Calculate the slope at supports, if the area is 180kNm2. Take flexural rigidity as 50000.
a) 0.0054 radians
b) 0.0072 radians
c) 0.0036 radians
d) 0.108 radians
Answer: c
Clarification: Maximum slope at supports be i = A/EI
= 180/50000
i = 0.0036 radians.
6. In cantilever beams, the slope is _____________ at fixed end.
a) Maximum
b) Zero
c) Minimum
d) Uniform
Answer: b
Clarification: The slope in cantilever beam is zero at the fixed end of the cantilever and the slope is maximum at it’s free end. The slope is determined in the moment area method through Mohr’s theorems.
7. Slope is maximum at _______ in simply supported beams.
a) Mid span
b) Through out
c) Supports
d) At point of loading
Answer: a
Clarification: In case simply supported beams, the slope is maximum at the end supports of the beam and relatively zero at midspan of a symmetrically loaded beam.
8. Mohr’s theorem- 1 states ________
a) E/AI
b) I/EA
c) A/EI
d) A=EI
Answer: c
Clarification: According to Mohr’s theorem-1, the change of slope between any of the two points on and Elastic axis is equal to the net area of bending moment diagram (A) between these two points divided by flexural rigidity(EI).
9. Using Mohr’s theorem, calculate the maximum slope of a cantilever beam if the bending moment area diagram is 90kNm2. Take EI = 4000 kNm2.
a) 0.0225 radians
b) 0 0367 radians
c) 0.0455 radians
d) 0.066 radians
Answer: a
Clarification: The maximum slope at free support (in cantilever beam) = i = A/EI
= 90/4000
= 0.0225 radians.
10. Contour canals are also called as ______
a) Single bank canal
b) Ridge canal
c) Side slope canal
d) Watershed canal