case o math momento

Case 1: Concentrated load at the free end of cantilever beam Maximum Moment M=−PL Slope at end θ=PL22EI Maximum deflection δ=PL33EI Deflection Equation (y is positive downward) EIy=Px26(3L−x) Case 2: Concentrated load at any point on the span of cantilever beam Maximum Moment M=−Pa Slope at end θ=Pa22EI Maximum deflection δ=Pa36EI(3L−a) Deflection Equation (y is positive downward) EIy=Px26(3a−x) for 0<x<a EIy=Pa26(3x−a) for a<x<L Case 3: Uniformly distributed load over the entire length of cantilever beam Maximum Moment M=−woL22 Slope at end θ=woL36EI Maximum deflection δ=woL48EI Deflection Equation (y is positive downward) EIy=wox2120L(6L2−4Lx+x2)

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Case 1: Concentrated load at the free end of cantilever beamMaximum MomentM=PLSlope at end=PL22EIMaximum deflection=PL33EIDeflection Equation (yis positive downward)EIy=Px26(3Lx)Case 2: Concentrated load at any point on the span of cantilever beamMaximum MomentM=PaSlope at end=Pa22EIMaximum deflection=Pa36EI(3La)Deflection Equation (yis positive downward)EIy=Px26(3ax)for0

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