Elasticity Chapter 3 two dimensional Problems in Rectangular Coordinates
1 Elasticity
弹单性生力学
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Chapter 3 Two-dimensional Problem in Rectangular Coordinates 83-1 Solution by Polynomials 8 3-2 Determination of Displacements 83-3 Bending of a Simply Supported Beam by Uniform Load 83-4 Loading of a Wedge by Gravity and Hydraulic Pressure 83-5 Solution by Series 8 3-6 Bending of a Simply Supported Beam by arbitrary Lateral Load [D Exercises
3 Chapter 3 Two-dimensional Problem in Rectangular Coordinates §3-1 Solution by Polynomials §3-2 Determination of Displacements §3-3 Bending of a Simply Supported Beam by Uniform Load §3-4 Loading of a Wedge by Gravity and Hydraulic Pressure §3-6 Bending of a Simply Supported Beam by Arbitrary Lateral Load §3-5 Solution by Series Exercises
平冒的立么解答 第三章平面问题的直角坐标解答 §3-1多项式解答 §3-2位移分量的求出 「§3-3简支梁受均布载荷 □§3-4楔形体受重力和液体压力 「§3-5级数式解答 §3-6简支梁受任意横向载荷 习题课
4 第三章 平面问题的直角坐标解答 §3-1 多项式解答 §3-2 位移分量的求出 §3-3 简支梁受均布载荷 §3-4 楔形体受重力和液体压力 §3-5 级数式解答 §3-6 简支梁受任意横向载荷 习题课
s3-1 Solution by Polynomials IThe Stress Function in the form of a polynomial of the First degree o=a+bx+cy The Stress Components o=0,0,=0,rn=m=0 The Stress Boundary Condition X=Y=0 Conclusion: (1 The linear stress function is corresponding to the state of no surface force and no stress.( 2) There's no effect to the stress to add a linear function to any stress function of two-dimensional problem 2. The Stress function in the form of a polynomial of the second degree o=ax+bxy+cy 1. Corresponding too=ax, the stress components 0,S=2a,t=t=0 x y y yx 5
5 1.The Stress Function in the form of a Polynomial of the First Degree §3-1 Solution by Polynomials = a + bx + cy The Stress Components: x = 0, y = 0, xy = yx = 0 The Stress Boundary Condition： X = Y = 0 Conclusion:（1）The linear stress function is corresponding to the state of no surface force and no stress.（2）There’s no effect to the stress to add a linear function to any stress function of two-dimensional problem. 2.The Stress Function in the form of a Polynomial of the Second Degree 2 2 = ax +bxy+ cy 。 1.Corresponding to ,the stress components 2 = ax = 0, = 2 , = = 0 x y xy yx s s a t t