Class #24. Beams Shear and Bending Moment Diagrams Calculus Development Statics Spring 2006 Dr. Pickett. Shear and Bending Moment Diagrams. Long and Slender beam It lies in a plane Is loaded only in that plane Have only 3 equilibrium equations. If a whole beam is in equilibrium.
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Shear and Bending Moment Diagrams
SM (@left support) to obtain reaction at right;
SM (@Right support) to obtain reaction at left;
Check SFy = 0
3. Cut a section ;
Obtain internal P,V,M at cut section ;
SM, SFy, SFx
4. Record, draw internal P, V, M on both sides of cut sections ;
- direction on both sides of cut
value of load diagram @ X
equals the area under the load
the value of the shear ( V ) diagram @ X
Yes valid with concentrated load between x1 and x2
Not valid if a couple is applied between x1 and x2.
V(x) = -wx
M(x) = -wx2/2