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V_and_B_Diagrams

# V_and_B_Diagrams - Some Guidelines for Constructing Shear...

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Some Guidelines for Constructing Shear Force and Bending Moment Diagrams SIGN CONVENTIONS + M + V + V + M - M - V - V - M BOUNDARY CONDITIONS Pinned LEFT End: Reaction force, A x is unknown. Reaction force, A y is unknown. V (shear force) = A y (reaction force) M = 0 (unless there is an applied moment at this point) Deflection, y = 0 Slope, θ is unknown B A Pinned Right End: Reaction force, B x is unknown. Reaction force, B y is unknown. V (shear force) = -B y (reaction force) M = 0 (unless there is an applied moment at this point) Deflection, y = 0 Slope, θ is unknown A x A y B x B y Pinned LEFT End: Reaction force, A x is unknown. Reaction force, A y is unknown. V (shear force) = A y (reaction force) M = 0 (unless there is an applied moment at this point) Deflection, y = 0 Slope, θ is unknown B A Roller Support at Right End: Reaction force, B x =0. Reaction force, B y is unknown. V (shear force) = -B y (reaction force) M = 0 (unless there is an applied moment at this point) Deflection, y = 0 Slope, θ is unknown A x A y B x B y Clamped End: Reaction force, A x is unknown.

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