mechanics The simply supported beam shown consists of a W410 x 60 structural ste
ID: 1827755 • Letter: M
Question
mechanics
The simply supported beam shown consists of a W410 x 60 structural steel wide-flange shape. E = 200 GPA , I = 216 x 106 mm4. For the loading shown, determine The beam deflection at Point A. The beam deflection at Point C. The simply supported beam shown consists of a W410 x 60 structural steel wide-flange shape. E = 200 GPA , I = 216 x 106 mm4. For the loading shown, determine The beam deflection at Point A. The beam deflection at Point C. The simply supported beam shown consists of a W410 x 60 structural steel wide-flange shape. E = 200 GPA , I = 216 x 106 mm4. For the loading shown, determine The beam deflection at Point A. The beam deflection at Point C.Explanation / Answer
the projected portions AB and DE donot have any bending moments and shear stresses,so the deflection at the point A depends on the angle of rotation at point B.
We know the deflection at point B = (q*l^3)/24*E*I
putting the values l = 6m ,q = 80 KN/m
theta_B = 0.016
therefore deflection at point B = 0.016*3 = 0.048 m
We also know deflection at point C = (5q*l^4)/384*E*I = 0.03125 m
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