Statics Review Segments AB and BC of beam ABC are pin connected a small distance

Question

Statics Review Segments AB and BC of beam ABC are pin connected a small distance to the right of joint B (see figure). Axial loads act at A and at the mid-span of AB. A concentrated moment is applied at joint B. Find reactions at supports A, B, and C. Find internal stress resultants N, V, and M at Segments AB and BCD of beam A BCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of 80 N/m acts on BC. A concentrated moment is applied at joint B.

Explanation / Answer

roller support gives reaction force vertically upwards and pin joint gives reaction force along vertical and horizontal axis

consider fbd of rod and apply:

Fx=0

Fy=0

Mz=0

solving these eqns will give the answers needed

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