7b. Superposition  (SSES Ch. 7.1) • Normal Stresses • Shear Stresses • Beam Deflection Back | Index | Next

 Normal Stresses Consider a beam of rectangular cross-section subjected to both axial force P and moment M. The Method of Superposition is used to determine the normal stresses on the beam's cross-section. Click below to see the normal stress distribution due to:

 Shear Stresses Consider a beam of circular cross-section subjected simultaneously to both shear force V and torque T. The Method of Superposition is used to determine the shear stresses on the beam's cross-section. Click below to see the Shear Stresses at points 0, 1, 2, 3, and 4 due to: Note: the cross-section shown is viewed along the negative x- direction. Note: The normal stresses due to bending are not included. They would act out-of the cross-section at point 2 (tension), and into the cross-section at point 4 (compression).

 Beam Deflection The Method of Superposition is also useful in determining the bending stress and deflection in a beam subjected to two or more loads. Consider a rectangular cantilevered beam of rectangular cross-section subjected to a uniformly distributed load w, and a point force P acting at the tip: Click below to see the Moment and Deflection in the Beam due to:

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Updated: 05/23/09 DJD