Engineering Science 1022A/B/Y Lecture Notes - Lecture 17: Shear Force

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Section the beam at an arbitrary distance from one end and then apply the equations of equilibrium to the segment having the length to obtain and as functions of. Distributed load and the shear force and bending moment. Change in shear ( ) between 2 points equals the area under distributed loading curve. Slope of bending moment ( ) is the shear force. Change in bending moment ( ) between 2 points equals the area under shear force. Shear force diagram will jump in the direction the point load acts. Change in shear force is the magnitude of the point load. Clockwise couple gives positive (upward) change in bending moment. Counter clockwise couple gives negative (downward) change in bending moment.

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