3. (a) Use the moment-area method to determine deflections at C of the beam shown in the figure. BMD for the beam is given below. Take E = 200 GPa and I 60 x 10 mm (b) Verify the results by conjugate beam method. 20 kN/m 150 kN 120 kN C EI D EI - 3 m 3EI 3EI 6 m >- 3 m 3 m 270 180 BMD (kN.m)

Q: Use the virtual work method to de termine the deflection at point C of the beam shown.

A: Given Data:Total span L=9mE=constant=70GpaI=500×106mm4Concentrated load = 100kNMoment = 300kN-m…

Q: Determine the maximum vertical deflection in the beam shown below. Use the conjugate beam method.

A: Given A beam To find Maximum deflection using conjugate beam method

Q: 180 kN 15 kN/m B D -5 m- -5 m- -4 m- El = constant E = 70 GPa I = 2,340 (106) mmª %3D

A:

Q: Determine the resultant force at A. 2 ft Fc 490 lb FR= 600 Ib 6 ft 4 ft 3 ft B 4 ft 2 ft 4 ft

A: Following are the two forces at point A: FC = 490 lb FB = 600 lb

Q: El is constant for the beam shown in Figure 4. • Compute the rotation of the beam at B. • Compute…

A:

Q: using Double Integration Method, Determine the deflection at the free end of the beam shown

A:

Q: Part 2: for the frame shown below, P=20 kN and a=2 m, Assume I=20000 in and E=30,000 ksi for all…

A: Given:P = 20 kNa = 2mI = 20000 in4E = 30000 ksiRequired:Vertical deflection of E

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.