Question

The following statements are related to bending criteria of beams.
I. The slope of bending moment diagram is equal to the shear force.
II. Maximum bending moment occurs where the curvature is zero.
III. The second derivative of the deflection is equal to the curvature.
Select the correct statement(s).

• A. I and II are correct
• B. II and III are correct
• C. I and III are correct
• D. All are correct

Answer 1

The correct option is C I and III are correct

$\frac{dM}{dx}=VandEI\frac{d^{2}y}{d{x}^2}=M_x$

$\frac{d^{2}y}{d{x}^2}=\frac{M_x}{EI}\{\frac{\sigma }{y}=\frac{M}{I}=\frac{E}{R};M=\frac{EI}{R}\}$

$\frac{d^{2}y}{d{x}^2}=\frac{EI}{R}\times \frac{1}{EI}=\frac{1}{R}$

So , statement I and III are correct