CVEN345 -- Assignment 6

[1]
Determine the horizontal deflection at C. The cross-sectional area of each member is indicated. Assume the members are pin-connected at their end points. E= 29 X 10³ ksi. Use the method of virtual work.

10 pts.

[2]
The cross-sectional area of each member is indicated in the figure. E =29 X 10⁶ psi. Assume all the members pin-connected at their end points.
(a) If member EB has been fabricated 0.2 in. too short, find the vertical deflection at C.
(b) If members AB and BC experience a temperature increase of DT = 200^o F and a = 2 X 10 ^{- 6} /^oF. Determine the vertical deflection at B.

10 pts.

[3]
Determine the horizontal deflection at C. If members AB and BC experience a temperature increase of DT = 160^o F and a = 2 X 10 ^{- 6} /^oF. E =29 X 10⁶ psi. Take A = 2 in². Assume all the members pin-connected at their end points and loads are applied at the joints.

10 pts.

[4]
Determine the vertical deflection of the truss at F. The AE is the constant for all members. Assume all the members are pin-connected at their end points. Use the method of virtual work.

10 pts.

[5]
Determine the vertical deflection at C. The cross-sectional area of each member is indicated in the figure. Assume the members are pin-connected at their end points. E = 29 X 10³ ksi. Use the method of virtual work.

10 pts.

[6]
Determine the deflection at the centerline, d_{25 ft}, and and slope at the right end, q_{50 ft}, of the beam. I= 2100 in⁴ and E = 29 X 10³ ksi.

10 pts.

[7]
Calculate the slope, q_{10 ft}, and the deflection, d_{10 ft} from the left end of the beam using virtual work. E = 29 X 10³ ksi.

10 pts.

[8]
Calculate the slope, q_{20 ft}, and the deflection, d_{20 ft} from the left end or beam using virtual work. E = 29 X 10³ ksi and I = 2250 in⁴.

10 pts.

[9]
Calculate the deflection of the beam at the center, d_{20 ft}. E = 29 X 10³ ksi.

10 pts.

[10]
Find q_A, d_A, q_B, and d_B. E = 29 X 10³ ksi.

10 pts.