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(Solved): The beam has a hinge support at A, and roller supports at B, C, and D. The beam is under 2 concentr ...




The beam has a hinge support at A, and roller supports at B, C, and D.
The beam is under 2 concentrated loads equal to \( 6 \
The beam has a hinge support at A, and roller supports at B, C, and D. The beam is under 2 concentrated loads equal to \( 6 \mathrm{kN} \) and \( 10 \mathrm{kN} \) at the mid spans ( \( \mathrm{AB} \) and \( \mathrm{BC} \) ), and a uniform load of \( 12 \mathrm{kN} / \mathrm{m} \) from C to D. \( E I \) is constant. CEE 312 - THEORY OF STRUCTURES FALL 2022 int Task: Determine the support reactions, No need to draw SFD and BMD. Use Force Method of Analysis. You may use spreadsheet or Mathcad, You may use the Table values,


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By force method Step 1: Bending moments Span AB = WL/4 = 6×1/4 = 1.5 kNm Span BC = WL/4 = 10×1/4 = 2.5kNm Span CD = WL²/8 = 12×1²/8 = 1.5 KNm
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