- #1
I think since the drive force F is applied at an oblique angle, the author thought it would be clearer to the student to decompose this force into its horizontal and vertical components, and work out the reactions and bending moments created by each component separately.pinkcashmere said:
The same equations of static equilibrium apply in each case. The author has resolved F into its components on the overhung end of the shaft. There are two bearings where reactions develop. Write the standard sum of the forces and sum of the moment equations for each case and solve for the unknown reactions.
SteamKing said:
Both moment arms are the same distance from the bearing at C, namely 100 mm.pinkcashmere said:
A bending moment diagram is a graphical representation of the variation of internal bending moments along the length of a structural member. It shows the magnitude and direction of the bending moments at different points on the member, which are caused by external loads and reactions.
Bending moment diagrams are important because they help engineers design and analyze structures for different loading conditions. They provide a visual representation of the internal forces and moments that a structure experiences, which is crucial for determining the strength and stability of the structure.
To create a bending moment diagram, you first need to calculate the bending moment at different points along the length of the structural member. This can be done using the equations of equilibrium and the concept of static equilibrium. Once the bending moments are calculated, they can be plotted on a graph with the distance along the member on the x-axis and the bending moment on the y-axis.
The shape of a bending moment diagram is affected by the type and magnitude of the external loads, the support conditions, and the geometry of the structural member. For example, a uniformly distributed load will result in a parabolic shape, while a point load will result in a triangular shape. The support conditions, such as fixed or simply supported, also play a significant role in determining the shape of the bending moment diagram.
Bending moment diagrams help in determining the maximum stress in a structural member by providing information about the internal bending moments. The maximum bending moment corresponds to the maximum stress in the member, which can be calculated using the moment of inertia and the section modulus. This information is crucial for ensuring that the structural member can withstand the applied loads without failing.
