Mechaman said:Homework Statement
Working out deflections on a semi circular bar.
Homework Equations
3WR^3π / 2EI
Where E = 200GN/m^2
W = 9.81N
R = 150mm
I = 5.625 * 10^-3 (bar is 25mm * 3mm)
The Attempt at a Solution
(3)(9.81)(0.15)^3π / (2)(200*10^3)(5.625 * 10^-3) = 13868.56
I have data that says it should be more like
1.3870359
I'm not exactly sure of the units either?
SteamKing said:Heck, we're not even sure what the problem is.
Is there a figure or some other description of what you are trying to solve? Is this bar laterally loaded? Is it a point load? Distributed load? Are the ends both fixed?
A deflection on a curved beam is the amount of displacement or bending that occurs in the beam when it is subjected to a load or external force. It is measured in terms of the distance from the original position of the beam to its new position.
The deflection of a curved beam is calculated using various formulas and equations, depending on the geometry of the beam and the type of loading it is subjected to. Some common methods of calculation include using the moment-area method, the conjugate beam method, and the principle of virtual work.
The deflection of a curved beam is affected by several factors, including the material properties of the beam (such as its modulus of elasticity and moment of inertia), the type and magnitude of the load applied, and the shape and dimensions of the beam itself.
The curvature of a beam has a significant impact on its deflection. A beam with a larger curvature will experience greater deflection than a beam with a smaller curvature, even when subjected to the same load. This is because a curved beam has a smaller moment of inertia compared to a straight beam, making it more susceptible to bending.
Yes, a curved beam can have a negative deflection. This occurs when the beam is subjected to a downward load, causing it to bend in the opposite direction. In some cases, a negative deflection can be desirable, such as in the design of arches and other structures that require a specific shape or curvature.