ladil123 said:Hello!
I have a elastically bedded beam that is subjected to a pointload on the top of the beam.
I have managed to solve for the deflection in the beam.
Can I use this deflection to get the stress somehow?
Thanks
ladil123 said:My beam is positioned on a elastic material that gives the "elastic bedded" part to the problem, My boundary conditions are that the beam doesn't have any moment at the outer lengths of the beam and no shear forces there as well.
Should I determine the shear force or bending moment at some point with my formula for the deflection to get the stress contribution ?
To calculate stresses in a beam with known deflection, you will need to use the equation: stress = (force * distance) / (moment of inertia * distance from neutral axis). This equation takes into account the force applied, the distance from the force to the neutral axis, and the moment of inertia of the beam. By plugging in these values, you can determine the stress at a specific location on the beam.
The moment of inertia of a beam is a measure of its resistance to bending. It is calculated by multiplying the cross-sectional area of the beam by the square of the distance from the neutral axis to the outermost fibers of the beam. This value is an important factor in calculating stresses in a beam with known deflection.
Yes, deflection can be used to determine the stresses in a beam. By measuring the deflection of a beam at a specific location and using the equation mentioned in the first question, you can calculate the stress at that location. However, it is important to note that deflection alone is not enough to determine the stresses in a beam, as other factors such as the force applied and the moment of inertia also play a role.
The units for stresses in a beam are typically expressed in pounds per square inch (psi) or newtons per square meter (Pa). These units represent the amount of force per unit area that the beam is experiencing at a specific location.
The shape of a beam can greatly affect the stresses it experiences. A beam with a larger moment of inertia, such as a wide flange beam, will be able to withstand higher stresses compared to a beam with a smaller moment of inertia, such as a narrow beam. Additionally, the location and distribution of the force applied to the beam can also affect the stresses it experiences.