This set of Strength of Materials Multiple Choice Questions & Answers (MCQs) focuses on “Introduction to Shear Force and Bending Moment”.

1. Shear force is unbalanced _____ to the left or right of the section.

a) Horizontal force

b) Vertical force

c) Inclined force

d) Conditional force

View Answer

Explanation: The shear force at the cross section of a beam may also be defined as the unbalanced vertical force to the left or right of the section. It is also the algebraic sum of all the forces I get to the left to the right of the section.

2. SI units of shear force is _______________

a) kN/m

b) kN-m

c) kN

d) m/N

View Answer

Explanation: As shear force at any section is equal to the algebraic sum of the forces, the units of the shear force are also in kilo newtons and it is denoted by kN.

3. Determine the moment at fixed end.

a) 40 kNm

b) 50 kNm

c) 60 kNm

d) 80 kNm

View Answer

Explanation: Let the fixed end be “A”

Reaction at A = 10×4 = 40 kN

Moment at A = (10×4)×4/2

= 80 kNm.

4. Shear force is diagram is _______ representation of shear force plotted as ordinate.

a) Scalar

b) Aerial

c) Graphical

d) Statically

View Answer

Explanation: Shear Force diagram is a graphical representation of the shear force plotted as ordinate on baseline representing the axis of the Beam.

5. Hogging is________

a) Negative bending moment

b) Positive shear force

c) Positive bending moment

d) Negative shear force

View Answer

Explanation: The bending moment at a section is considered to be negative when it causes convexity upwards or concavity at bottom, such bending moment is called hogging bending moment or negative bending moment.

6. At the point of contraflexure, the value of bending moment is ____________

a) Zero

b) Maximum

c) Can’t be determined

d) Minimum

View Answer

Explanation: A point at which bending moment changes its sign from positive to negative and vice versa. Such point is termed as point of contraflexure. At this point, the value of bending moment is zero (0).

7. _________ positive/negative bending moments occur where shear force changes its sign.

a) Minimum

b) Zero

c) Maximum

d) Remains same

View Answer

Explanation: If shear force and bending moment values obtained are thus plotted as a diagram, the SF & BM relationship always behaves vice versa.

8. Shear force of following diagram

a) Rectangle

b) Square

c) Circle

d) Trapezoidal

View Answer

9. SI units of Bending moment is ___________

a) kN

b) kN^{2}

c) kNm

d) km

View Answer

Explanation: Moment is a product of force and perpendicular distance and the bending moment is the algebraic sum of moments taken away from the left or the right of the section hence the SI units of bending moment is same as the moment i.e kNm.

10. What is the other name for a positive bending moment?

a) Hogging

b) Sagging

c) Inflation

d) Contraflexure

View Answer

Explanation: The bending moment at a section is considered to be positive when it causes convexity downwards such bending moment is called sagging bending moment positive bending moment.

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