Shear force diagrams and Bending moment diagrams

The video tutorial explains shear force and bending moment diagrams using a simple example. It covers the steps to solve a problem by drawing free body diagrams, calculating reaction forces, and analyzing sections of a bar. The tutorial concludes with compiling results into diagrams and discusses the relationship between shear force and bending moment.

What does a shear force diagram represent?

• Moments at the supports

• External forces along a bar

• Axial forces in a beam

• Internal shear forces along a bar

What is the first step in solving a shear force and bending moment problem?

• Draw a free body diagram

• Calculate the moments

• Estimate the deflection

• Determine the material properties

How many cuts are needed to analyze the internal forces in the given problem?

• One

• Two

• Three

• Four

In the first section of the bar, what is the value of the internal shear force?

• 15 kN

• 30 kN

• 25 kN

• 20 kN

What is the relationship between the moment and distance in the first section of the bar?

• Moment is zero

• Moment decreases with distance

• Moment increases with distance

• Moment is constant

What happens to the shear force in the second section after the 30 kN force is applied?

• It increases

• It remains constant

• It decreases

• It becomes zero

In the second section, what is the expression for the moment as a function of distance?

• M = 25X

• M = 5X + 30

• M = 60 - 20X

• M = 30 - 5X

In the final section, what is the value of the shear force?

• -10 kN

• -5 kN

• -20 kN

• -15 kN

What is the final value of the moment at the end of the bar?

• 30 kNm

• 20 kNm

• 10 kNm

• 0 kNm

Which formula relates the derivative of the moment to the shear force?

• dV/dX = -W

• dM/dX = W

• dM/dX = V

• dV/dX = M