Elasticity Solution of Deep Beam Under Settlement of Supports
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The present study investigates the two-dimensional stresses and displacements in a finite rectangle whose one set of parallel edges is given a relative tangential displacement by means of rigidly attached planes. The other set of parallel edges is free from tractions. The problem is formulated in terms of a singular integral equation of the first kind, which yields the correct singular behavior of stresses at the corners. The integral equation is solved numerically by employing Gauss-Jacobi quadrature in conjunction with certain collocation technique. Numerical results of quantities of practical interests are shown graphically and also compared with the classical bending analysis.
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1964 ◽
Vol 70
(4)
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pp. 596-600
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1998 ◽
Vol 10
(4)
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pp. 445-501
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1969 ◽
Vol 36
(4)
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pp. 805-829
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2006 ◽
Vol 173
(1)
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pp. 389-393
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