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Consider a thin-walled C-channel with uniform thickness t, a web depth h, flange

ID: 1843567 • Letter: C

Question

Consider a thin-walled C-channel with uniform thickness t, a web depth h, flange width b subjected to a shearing force S_y at the shear center. The origin of the axes is placed at the centroid of the cross-section, located at a distance d = b/(2 + h/b) to the right of the web midpoint. Determine the shear flow distribution (written in terms of S_y and the beam geometry), and illustrate your answer by sketching the distribution on the cross-section (mark arrows in the direction of the shear flows and note maximum values). Be sure to CLEARLY label your 's' terms and 's'-directions used in your analysis on the cross-section. In addition, determine the magnitude and location of the maximum shear flow, AND find the location of the shear center relative to the origin - i.e. relative to centroid (0, 0).

Explanation / Answer

The answer of following question is as follows.

The maximum value of shear stress is 78Mpa while the shear centre is located 6 cm away from the centre