Beam equilibrium and shear force

AI Thread Summary
The discussion focuses on determining the transverse shear force and bending moment for a beam subjected to various loads and a concentrated couple. The user is seeking guidance on how to derive expressions for shear force Vc and bending moment Mc at section C, as well as shear Vd and moment Md at support D, using the given loads. They mention having a free body diagram but are unsure of the next steps in their calculations. Key equations related to shear force and bending moment are noted, but the user expresses confusion about applying them. The conversation emphasizes the need for clarity in analyzing shear forces and moments in beam equilibrium problems.
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Homework Statement


transverse loads are applied to the beam in the figure at A, C, and E, and a concentrated couple 3Pa is applied to the beam at E. Determine expressions for (a) the transverse shear force Vc and bending moment Mc at a section just to the left of the load at C, and (b) shear Vd and moment Md just to the left of the support at D. Express answers in terms of P and a.

The image is the same setup as this problem only the loads at A, C and E are P, 2P and 2P respectively
p5.2-03alt.gif


Homework Equations


I know that the derived equations are V=dM/dx and p(x)=dV/dx but I don't really know how to go about doing this. I have my free body diagram but other than that I don't know where to start. Can anyone give me a hand?


The Attempt at a Solution

 
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Start with point A. What's the shear force there? Does it change between points A and B? What happens to the shear force at point B?
 
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