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QUESTION: 1

Here, p = the radius of curvature at a specific point on the elastic curve

M = the internal moment in the beam at a point

E = material’s modulus of elasticity

I = the beam’s moment of inertia computed about the neutral axis

**Q.** Which of the following is correct?

Solution:

Answer: c

Explanation: It can be derived by taking small elements and using Hooke’s law and flexural formula.

QUESTION: 2

Elastic-Beam theory can be applied on a non-linear elastic material.[/expand] State whether the above statement is true or false.

Solution:

Answer: b

Explanation: For elastic-beam theory to be applicable Hooke’s law must be applicable and for that material must behave in a linear-elastic manner.

QUESTION: 3

From where is radius of curvature measured?

Solution:

Answer: d

Explanation: It is measured from centre of curvature and it lies at an external point.

QUESTION: 4

Which of the following can be a possible value of EI?

Solution:

Answer: a

Explanation: It is referred to EI and it is always positive.

QUESTION: 5

What is the general form of elastic curve of a beam?

Solution:

Answer: d

Explanation: On expressing 1/p in terms of x and y, we can reach to the curve equation.

QUESTION: 6

What is the assumption for deriving above mentioned equation?

Solution:

Answer: b

Explanation: While deriving, we have only considered bending forces by assuming that length is much greater than thickness.

QUESTION: 7

Slope of a deflected curve is generally:-

Solution:

Answer: b

Explanation: Slope is very small and is generally assumed to be zero to predict the curve more properly.

QUESTION: 8

On the elastic curve, points will be only displaced vertically not horizontally.

State whether the above statement is true or false.

Solution:

Answer: a

Explanation: Since we have assumed slope to be zero, there won’t be any horizontal displacement.

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