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L23_ Thin walled Members- fall 10

# L23_ Thin walled Members- fall 10 - EAS 209-Fall 2010...

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EAS 209-Fall 2010 Instructors: Christine Human 10/14/2010 1 Lecture 23- Thin Walled Members Lecture 23 Longitudinal Shear on a Beam Element of Arbitrary Shape In the previous lecture we: calculated the longitudinal shear force per unit length (shear flow) 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 vertical surface of the beam and hence determine the horizontal shear stress ( τ xz ) in the section? Today’s Objective: Calculate shear stresses in thin-walled sections Today’s Homework: EAS 209-Fall 2010 Instructors: Christine Human 10/14/2010 2 Lecture 23- 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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L23_ Thin walled Members- fall 10 - EAS 209-Fall 2010...

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