Flashcards for:
Shear and Moment Diagrams: An Introduction

Reaction forces are calculated using the equations Sum of Forces = 0 and Sum of Moments = 0.

These values represent the loads applied to specific intervals of the beam.

Knowing the values of V and M at every point is crucial for designing safe and effective beams.

Discrepancies in the expected values or the diagrams not returning to zero indicate potential mistakes in global equilibrium.

28 kN.m

The shear force diagram should start from zero, change according to applied loads, and return to zero at the end of the beam.

The first step is to establish global equilibrium by identifying and calculating the support reactions.

It ensures the design is safe, preventing failures by accurately determining critical points for shear forces and bending moments.

Shear Force (V) and Bending Moment (M)

By verifying all calculations, ensuring the integral relationships are maintained, and making sure the diagrams return to zero at the ends.

It refers to adjusting for concentrated loads by considering how they would be distributed over the beam, ensuring accurate plotting.

The area is calculated by multiplying the height (force in kN) by the width (distance in meters), resulting in a moment (kN.m).

It involves drawing points where loads change, such as concentrated loads or boundary conditions, and accounting for these changes correctly.

16 kN

The area under the shear force diagram corresponds to the bending moment over that section, helping to plot the moment values accurately.

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.