Back to notes
How do you calculate reaction forces at the supports?
Press to flip
Reaction forces are calculated using the equations Sum of Forces = 0 and Sum of Moments = 0.
In the problem-solving steps, what do the example values such as 18 kN, 12 kN, and 6 kN represent?
These values represent the loads applied to specific intervals of the beam.
Why is it important to determine the value of V and M at every point in a beam?
Knowing the values of V and M at every point is crucial for designing safe and effective beams.
What indicates a mistake in global equilibrium when plotting V and M diagrams?
Discrepancies in the expected values or the diagrams not returning to zero indicate potential mistakes in global equilibrium.
What is the maximum bending moment value in the example problem?
28 kN.m
What should the shear force diagram (V diagram) start and end with?
The shear force diagram should start from zero, change according to applied loads, and return to zero at the end of the beam.
What is the first step in plotting shear force and bending moment diagrams?
The first step is to establish global equilibrium by identifying and calculating the support reactions.
What is the role of consistent and careful plotting in beam design?
It ensures the design is safe, preventing failures by accurately determining critical points for shear forces and bending moments.
What are the two types of internal forces in beams?
Shear Force (V) and Bending Moment (M)
How do you ensure accuracy in graphing the shear force and bending moment diagrams?
By verifying all calculations, ensuring the integral relationships are maintained, and making sure the diagrams return to zero at the ends.
What does the term 'discontinuities back to distributed loads' refer to?
It refers to adjusting for concentrated loads by considering how they would be distributed over the beam, ensuring accurate plotting.
How do you calculate the area under the shear force diagram?
The area is calculated by multiplying the height (force in kN) by the width (distance in meters), resulting in a moment (kN.m).
What does identifying discontinuities in a beam involve?
It involves drawing points where loads change, such as concentrated loads or boundary conditions, and accounting for these changes correctly.
What is the maximum shear force value in the example problem?
16 kN
How does integrating the shear force diagram (V diagram) help in plotting the bending moment diagram (M diagram)?
The area under the shear force diagram corresponds to the bending moment over that section, helping to plot the moment values accurately.
How are the graphs of Shear Force (V) and Bending Moment (M) related to each other?
Each graph is the integral of the one above it: The Load Curve integrates to give the Shear Force Curve, and Shear Force integrates to give the Bending Moment Curve.
Previous
Next