Question 1

The moment of inertia of a body is always minimum with respect to its

Accepted Answer

The moment of inertia of a body is always minimum with respect to its centroidal axis because this axis passes through the body's center of mass, minimizing the distances of the mass elements from the axis, which in turn minimizes the moment of inertia.

Question 2

Moment of inertia is the

Accepted Answer

D

Question 3

In a simply supported beam carrying a uniformly distributed load W/m over the left half span, the point of contra flexure will occur in

Accepted Answer

In a simply supported beam with a uniformly distributed load over only half of its span, the bending moment diagram will not have a point where it changes sign, hence no point of contraflexure exists.

Question 4

A sudden increase or decrease in shear force diagram between any two points indicates that there is

Accepted Answer

A sudden increase or decrease in the shear force diagram indicates the presence of point loads between the two points. Uniformly Distributed Loads (U.D.L.) cause a linear variation, not a sudden change.

Question 5

When the bending moment is parabolic curve between two points, it indicates that there is

Accepted Answer

When the bending moment diagram is a parabolic curve between two points, it indicates the presence of a Uniformly Distributed Load (U.D.L.) between those points.

Question 6

In Fig.(a), max B.M. will be

Accepted Answer

The answer of  In Fig.(a), max B.M. will be
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Question 7

In Fig. (a), slope of S.F.D. between B and C will be

Accepted Answer

The answer of  In Fig. (a), slope of S.F.D....

Question 8

What is the bending moment at end supports of a simply supported beam?

Accepted Answer

The bending moment at the end supports of a simply supported beam is zero because the beam is free to rotate and there are no moments resisting this rotation at the supports.

Question 9

What is the maximum shear force, when a cantilever beam is loaded with udl throughout?

Accepted Answer

The maximum shear force in a cantilever beam loaded with a uniform distributed load (udl) throughout its length occurs at the fixed support and is equal to the total load on the beam, which is calculated as the product of the uniform load per unit length (w) and the length of the beam (l), hence w×l.

Question 10

Sagging, the bending moment occurs at the of the beam.

Accepted Answer

Sagging refers to the bending of a beam downwards, which typically occurs at the mid span of the beam where the bending moment is greatest due to the applied loads.

Question 11

What will be the variation in BMD for the diagram? [Assume l = 2m].

Accepted Answer

The Bending Moment Diagram (BMD) for a simply supported beam with a point load at the center is triangular.

Question 12

What is the maximum bending moment for simply supported beam carrying a point load "W" kN at its centre?

Accepted Answer

The maximum bending moment for a simply supported beam with a point load at the center is given by the formula W×l/4, where W is the load and l is the span of the beam.

Question 13

How do point loads and udl be represented in SFD?

Accepted Answer

Point loads are represented by simple (vertical) lines because they cause a sudden change in the shear force at a single point. Uniformly distributed loads (UDL) are represented by inclined lines because they cause a linear change in the shear force over the length they act upon.

Question 14

curve is formed due to bending of overhanging beams.

Accepted Answer

The answer of curve is formed due to bending of...

Question 15

The relation between slope and maximum bending moment is

Accepted Answer

The slope of a beam is inversely proportional to the maximum bending moment, as a higher bending moment results in a smaller slope and vice versa.

Question 16

What is the SF at support B?

Accepted Answer

The shear force (SF) at a support is zero if there are no external forces or moments applied directly at that point.

Question 17

Where do the maximum BM occurs for the below diagram.

Accepted Answer

The maximum bending moment (BM) in a beam occurs where the shear force changes sign or passes through zero. Without the specific diagram or further details on loading and supports, it's not possible to calculate directly from the question. However, given the options, the highest magnitude of bending moment listed is -105 kN, which typically indicates the point of maximum stress or bending in structural analysis scenarios.

Question 18

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

Accepted Answer

Shear force is typically associated with vertical forces acting on a beam or structural element, causing a sliding failure along a plane parallel to the forces. Horizontal or inclined forces can contribute to shear, but the classic definition and most common cases involve vertical forces.

Question 19

SI units of shear force is

Accepted Answer

Shear force is a force that acts perpendicular to the surface of a material, typically measured in Newtons (N) or kiloNewtons (kN) when dealing with larger magnitudes.

Question 20

Determine the moment at fixed end.

Accepted Answer

The answer of Determine the moment at fixed end.
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Quiz 5: Moment of Inertia, Bending Moment, and Shear Force for Beams