Please answer question showing all working out and solutions A continuous rigid

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Please answer question showing all working out and solutions

A continuous rigid beam ABCD is supported at point "A" by a roller (restrained horizontally only and move vertically freely) and "B", "C", "D" points by three 4m steel rods FB, GC and HD. Rods FB and HD have a diameter of 60mm and rod CG has a diameter of 80mm. The material parameters for steel are: E=200,000MPa, allowable compressive stress sigma allow =150MPa. Please calculate the compressive axial forces acting on rods FB, GC and HD. (Hint: delta=N*L/(E*A) ) q=20kN/m

Explanation / Answer

FB+GC+HD+A=20*1000*8

M_A=0=FB*2+GC*4+HD*6-20*1000*8*4

M_B=0=-A*2+GC*2+HD*2-20*1000*8*2

M_C=0=-A*4-FB*2+HD*2+20*1000*8*0

M_D=0=-A*6-FB*4-GC*2-20*1000*8*2

solve th equations and put in the Hint

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