Mechatronic Systems Engineering 2212A/B Lecture Notes - Lecture 16: Centroid, Flexural Rigidity

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The elastic curve, : deflection diagram of the longitudinal axis passing through the centroid of each cross sectional area of the beam. 12 deflection of beams and shafts page 1. : upward positive: : (measured from x-axis) counterclockwise positive when x-axis directed to right, but. The shape of the elastic curve depends on the bending moment diagram. An expression for the radius of curvature at an arbitrary point of a bent beam. An expression for the deflection of a bent beam. 12 deflection of beams and shafts page 2. An expression for the deflection of a bent beam downward is negative. : deflection of the beam (vertical displacement, upward is positive and. : flexural rigidity, the bigger of this value, the more resistance for deflection. Procedure of calculating the deflection of a beam using integration. This gives an expression for the slope of the bent beam, counterclockwise is.

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