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EAS209 L24_ Thin walled Members- Spring 2011

# EAS209 L24_ Thin walled Members- Spring 2011 - EAS...

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Unformatted text preview: EAS 209-Spring 2011 Instructors: Christine Human 2/7/2011 1 Lecture 24- Thin Walled Members Lecture 24 Longitudinal Shear on a Beam Element of Arbitrary Shape In the previous lecture we: calculated the longitudinal shear force per unit length (shear flow, q) on the horizontal surface of a beam (see (a) below) determined the vertical shear stress in the plane of the section ( τ xy ) If the planks are joined as in (b), can we use the same approach to calculate the shear flow on the longitudinal vertical surface of the beam and hence determine the horizontal shear stress ( τ xz ) in the plane of the section? Today’s Objective: Calculate shear stresses in thin-walled sections Today’s Homework: EAS 209-Spring 2011 Instructors: Christine Human 2/7/2011 2 Lecture 24- Thin Walled Members To answer this question we can repeat the procedure from last lecture and look at a section of the beam CC’D’D. However, this time the element extends from the two sides of the beam to an arbitrary curved surface. If we look at horizontal equilibrium we end up with the same equation, but this time integrated over the shaded area, A....
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EAS209 L24_ Thin walled Members- Spring 2011 - EAS...

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