Question

09. Which of the following is a differential equation
for deflection?
(A) dy / dx = (M/EI)
(B) dy / dx = (MI/E))
(c) d?y / dx2 = (M/EI)
(D) dy / dx2 = (ME/1)​

Answer 1

Step-by-step explanation:

(A) dy / dx = (M/EI)....

Answer 2

Correct Question:

Which of the following  differential equation is  for deflection?

(A) $\frac{dy }{d x } =(\frac{M}{EI})$

(B) $\frac{dy }{d x } =(\frac{MI}{E})$

(c) $\frac{d^{2}y }{d x^{2} } =(\frac{M}{EI})$

(D) $\frac{dy }{d x^{2} } =(\frac{ME}{1})$

Answer:

The  differential equation for deflection is  $\frac{d^{2}y }{d x^{2} } =(\frac{M}{EI})$   and option

(c ) is correct.

Explanation:

The  differential equation  of second order for the elastic curve of a beam deflection is

$\frac{d^{2}y }{d x^{2} } =(\frac{M}{EI})$

Where :

EI is the Flexural Rigidity.

M is the bending moment.

y is the deflection of the beam (+ve upwards direction).

Thus, the differential equation for deflection is $\frac{d^{2}y }{d x^{2} } =(\frac{M}{EI})$  and option (c ) is correct.

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