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QUESTION: 1

Consider the simply supported beam AB subjected to the point loads of equal magnitude as shown in the diagram below:

Q. Which one of the following statements is correct?

The portion CD of the beam is

Solution:

QUESTION: 2

In a simply supported beam of length L with a triangular load W varying from zero at one end to the maximum value at the other end, the maximum bending moment is

Solution:

QUESTION: 3

The shear force diagram is shown below for a loaded beam. The corresponding bending moment diagram is represented by

Solution:

QUESTION: 4

A loaded beam PQRS is shown in the given figure.

The magnitude of reaction at R will be zero if the value of load W is

Solution:

For reaction at R to be zero, take moment about Q.

12 x 2 = W x 8

∴ W = 3 kN

QUESTION: 5

For a cantilever beam dM/dx = constant for its whole length. What is the shape of SF diagram for the beam?

Solution:

QUESTION: 6

For the beam loaded as shown in figure we use below. The magnitude of bending moment at the roller support is

Solution:

Bending, moment at roller support

= Moment about B in Beam portion AB

= 100 N-m

QUESTION: 7

A concentrated load of P acts on a simply supported beam of span L at a distance L/3 from the left support. The bending moment at the point of application of the load is given by

Solution:

Taking moment about A, we get

∴ R_{B} = P/3

and

R_{A} = 2P/3

Bending moment at the point of application of load

QUESTION: 8

The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?

Solution:

QUESTION: 9

List-I shows different loads acting on a beam and List-lI shows different bending moment distributions. Match List-I with List-ll and select the correct answer using the codes given below the lists:

List - I

List - II

Codes:

A B C D

(a) 4 2 1 3

(b) 5 4 1 3

(c) 2 5 3 1

(d) 2 4 1 3

Solution:

QUESTION: 10

Two identical cantilever beams are supported as shown, with their free ends in contact through a rigid roller. After the load Pis applied, the free ends will have

Solution:

### Shear Force and Bending Moment

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### Shear Force and Bending Moment

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### Shear force and bending moment diagram.

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