Since there are three supports, you cannot solve it representing the beam as rigid. You need to consider its deformation (a quartic).Mechaman said:Homework Statement
https://imgur.com/a/AGJaN
It's a project so not a textbook question.
The Attempt at a Solution
Given in imgur picture.
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I'm looking to solve for C. The problem is actually a trailer with 3 axles but simplifying here as 3 fixed points where the wheels would be. The wheels A and B will want to be sized to take the full load. However, how much load will the wheel at C be subject to here so I can size accordingly?
Bending moment is the measure of the force required to bend a structural element, such as a beam, at a specific point. It is typically expressed in units of force multiplied by distance, such as pound-feet (lb-ft) or Newton-meters (N-m). It is an important concept in statics, as it helps engineers understand how forces act on a structure and how it may deform under those forces.
Bending moment is calculated by multiplying the force applied to a structural element by the distance from the point of interest to the point where the force is applied. This distance is known as the moment arm. The resulting value is expressed in units of force multiplied by distance. For example, if a force of 100 pounds is applied at a distance of 2 feet from the point of interest, the bending moment would be 200 pound-feet (100 lb x 2 ft).
Positive bending moment occurs when the top of a structural element is in compression and the bottom is in tension. This typically happens when a load is applied to the top of the beam, causing it to bend downward. Negative bending moment, on the other hand, occurs when the top of a structural element is in tension and the bottom is in compression. This typically happens when a load is applied to the bottom of the beam, causing it to bend upward.
The bending moment in a structure is affected by a number of factors, including the magnitude and location of applied forces, the weight and dimensions of the structural element, and the material properties of the structure. Additionally, the boundary conditions, such as supports and connections, can also play a role in determining the bending moment.
Bending moment is an important consideration in structural design as it helps engineers determine the strength and stability of a structure. By calculating the bending moment at different points along a structural element, engineers can determine the maximum load that the structure can withstand before it fails. This information is crucial in designing safe and efficient structures for various applications.