Internal_Forces - c For distributed loads include ONLY THE...

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Internal Forces 1. Draw a Free Body Diagram (FBD) a. Draw your reference frame; axes and indication of the direction for a positive moment. b. Ignore the internal structure. c. Replace all of the points of contact with the outside world with reaction forces (see Table 4-1, page 142). d. Draw all of the applied forces and moments. Note: A distributed load may be concentrated at its centroid. e. Include all dimensions and angles. 2. Apply the equilibrium equations, 0 = x F 0 = y F 0 = P M 3. Solve for the unknowns (reaction forces). 4. Cut the beam at the indicated location. 5. Draw a FBD for the cut beam. Select either the right-hand or left-hand portion of the cut beam – this will be your SECTION. a. Include the applied (external) forces and moments. b. Include the reaction forces and moments.
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Unformatted text preview: c. For distributed loads, include ONLY THE PORTION OF THE DISTRIBUTED LOAD that is applied to the SECTION selected. d. Put the portion of the distributed load at its centroid as a concentrated load. The centroid is only for the portion of the distributed load that is applied to the selected section. 6. At the CUT END draw the N normal force (tension is positive) V shear force (direction of V should be to make the beam rotate CLOCKWISE about the UNCUT end) M bending moment (direction of M is draw to make the beam deflect upward – SMILE) 7. Apply the equilibrium equations to solve for N, V, and M, = ∑ x F = ∑ y F = ∑ end cut M remember to include “M”...
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