GATE CE 2022 Set 1 — Question 16
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Structural Engineering → Stress, Strain & Beams → Shear Centre
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Question
Consider the cross-section of a beam made up of thin uniform elements having thickness () shown in the figure. The coordinates of the points along the center-line of the cross-section are given in the figure.
The coordinates of the shear center of this cross-section are:
Correct answer
(A) x = 0, y = 3a
Solution
For a thin-walled section consisting of two intersecting legs, the shear center is located at the point of intersection of the centerlines of the legs. In this cross-section, the vertical leg (web) lies along the line and the horizontal leg (flange) lies along the line . Their intersection point is . Therefore, the coordinates of the shear center are .
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