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?
Explanation: It can be derived by taking small elements and using Hooke’s law and flexural formula.
Elastic-Beam theory can be applied on a non-linear elastic material.[/expand] State whether the above statement is true or false.
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.
From where is radius of curvature measured?
Explanation: It is measured from centre of curvature and it lies at an external point.
Which of the following can be a possible value of EI?
Explanation: It is referred to EI and it is always positive.
What is the general form of elastic curve of a beam?
Explanation: On expressing 1/p in terms of x and y, we can reach to the curve equation.
What is the assumption for deriving above mentioned equation?
Explanation: While deriving, we have only considered bending forces by assuming that length is much greater than thickness.
Slope of a deflected curve is generally:-
Explanation: Slope is very small and is generally assumed to be zero to predict the curve more properly.
On the elastic curve, points will be only displaced vertically not horizontally.
State whether the above statement is true or false.
Explanation: Since we have assumed slope to be zero, there won’t be any horizontal displacement.