Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by 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 D.

(a) Find reactions at supports A, C, and D.

(b) Find internal stress resultants N, V, and M at x= 5 m.

(c) Repeat parts (a) and (b) for the case of the roller support at C replaced by a linear spring of stiffness k_y 5=200 kN/m.

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A 4 m -X 80 N/m B 4 m Pin connection 200 N.m at joint D 3 m Part (c)