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Thursday, 04 February 2016 13:18cat

## Calculation Example - Calculate the member diagrams

Written by  TheStructuralEngineer.info

Calculate the member diagrams for Axial Force N, Shear Force S and bending Moment M for the following frame.

Solution

The frame is symmetrical in shape, loading and constraints. So we can work on the left half side.  At point 3 there is no moment because it is a hinge. At point 1 Verification. Equilibrium of Moments at Point 2. The trigonometrical numbers for angles ?1, ?2 (units degrees) are The equilibrium of the part 1J – 1S (where the upper script J means Joint and S means Section) gives: Local Axis x': Loxal Axis y': Equilibrium of Moments at Point 1: From the equilibrium of the part 1S – 2J Local Axis x': Loxal Axis y': Equilibrium of forces at Point 2: Local Axis x': Loxal Axis y': Equilibrium of Moments at Point 2: Equilibrium of forces of the part 2S – 3J Local Axis x': Loxal Axis y': Equilibrium of Moments at Joint 3: With the above values we make the diagrams for the Axial Force N, Shear Force S and Bending Moment at the members of the left part 1-2-3. Because of symmetry we can have diagrams for the right part 3-4-5. Diagrams for Axial Force and Moment are symmetric and diagram for Shear is antisymmetric.   The Shear diagram takes zero value at distance x from Joint 2 This is where Moment has max value • Default
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