材料力学课堂教学软件（英文版）-范钦珊-chap.2 Diagram of Internal Forces.pptVIP

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材料力学课堂教学软件（英文版）-范钦珊-chap.2 Diagram of Internal Forces.ppt

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* * * TSINGHUA UNIVERSITY * TSINGHUA UNIVERSITY HIGHER EDUCATION PRESS BEIJING CHINA Fan’s Studio for Education and Teaching * Prof.Fan’s Studio for Education and Teaching Back to main Menu (2) Guide to Solve Problems of Mechanics of Materials Q.S.Fan Tsinghua University P.R.CHINA Chapter 2 Mechanics of Materials Diagram of Internal Forces of Rods Back to the first page Back to main Menu Problem: Apply the method for force-system simplification to obtain shearing forces and bending moments in the section B. The First Kind of Exercise: The Simplified Method for Determining Components of the Internal Force in a Certain Cross-Section Back to the first page Problem 1 FP a a A B M= FP a M= FP a FQ= FP FP FP FP a a A B Simplify the force from A-section to B-section The internal forces on the left section of B have the same magnitudes and opposite directions of the external forces Solution A B FP a FQ= FP The internal forces on the right side of B-section have the same magnitudes and directions of the simplified external forces. The First Kind of Exercise: The Simplified Method for Determining Components of the Internal Force in a Certain Cross-Section Problem 1 M M 2M a a a a Problem: Using the differential equation of equilibrium, drawing shear diagram and bending moment diagram of these beams shown below and determine the values of and . The Second Kind of Exercise: Utilize the differential equation of equilibrium to draw the shear and bending moment diagrams (1) Problem 2 x O x O ? － M M 2M a a a a Determine the constraint forces Determine the section it will control the variation of internal forces Determine the shear and bending moment on the control section Back to the first page Determine the moment on the control section, and draw diagram of bending moment Solution The Second Kind of Exercise: Utilize the differential equation of equilibrium to draw the shear and bend