# notes_04d - CIVL 3121 Shear Force and Bending Moment...

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Shear and Moment Diagrams for Frames ± A frame is a structure composed of several members that are either fixed– or pin– connected at their ends. ± It is often necessary to draw shear and moment diagrams to design frames. Shear and Moment Diagrams for Frames ± Procedure for analysis - the following is a procedure for constructing the shear and moment diagrams for a frame 1. Determine the support reactions for the frame, if possible. 2. Determine the support reactions A , V , and M at the end of each member using the method of sections. 3. Construct both shear and moment diagrams just as before. We will use the following sign convention: always draw the moment diagram on the compression side of the member. Shear and Moment Diagrams for Frames ± Example : Draw the shear and moment diagrams for the following frame (see notes page 38): 0.8 k/ft 0.6 16 ft 20 A B C D Shear and Moment Diagrams for Frames ± First, find as many external reactions as possible. 0.8 0.6 16 20 A y A x D y 16 k 9.6 0 = 01 6 yy y FA D == + − 9.6 (8 ) 16 (10 ) (20 ) kft k ft D =− + A y = 4.16 D y = 11.84 09 . 6 xx == + A x = -9.6 Shear and Moment Diagrams for Frames ±

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notes_04d - CIVL 3121 Shear Force and Bending Moment...

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