材料力学课堂教学软件（英文版）-范钦珊-chap.5 Displacement of Beams.pptVIP

* * * 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 (5) Guide to Solve Problems of Mechanics of Materials * Q.S.Fan Tsinghua University P.R.CHINA Displacement Analysis and Rigidity Design of Beams Mechanics of Materials Chapter 5 Back to the first page Back to main Menu Problem:For the beam and loads shown, using the superposition method to determine the deflection of section A and the slope of section B, assuming that q、l、EI is known. The First Kind of Exercise: Using the Superposition Method to Determine the Deflection and Slope of Beam Problem 1 Solution：Firstly, resolve the load at the beam into two simple loads. Then, the deformation and displacement of the beam are equal to the superposition of that of two loads. Back to the first page θA1(M) wA1(M) wA2(q) θB2(q) The First Kind of Exercise: Using the Superposition Method to Determine the Deflection and Slope of Beam Problem 1 From the chart of deflection, we have Back to the first page Then, the deformation and displacement of the beam are equal to the superposition of that of this two loads. θA1(M) wA1(M) wA2(q) θB2(q) The First Kind of Exercise: Using the Superposition Method to Determine the Deflection and Slope of Beam Problem 1 Using the superposition method we obtain the deflection at point A. Back to the first page θA1(M) wA1(M) wA2(q) θB2(q) The First Kind of Exercise: Using the Superposition Method to Determine the Deflection and Slope of Beam Problem 1 From the chart of deflection, we have Back to the first page Using the superposition method we obtain the slope of section B. θA1(M) wA1(M) wA2(q) θB2(q) The First Kind of Exercise: Using the Superposition Method to Determine the Deflection and Slope of Beam Problem 1 Problem 2 Problem:Beam AB and beam BC are combined by hinges at point B and end A and end C are fixed. Loads and size of