For the simply supported steel beam (E=200 GPa ; 1= 129 x 106 mm4) shown in the figure, determine the deflection at B. Assume L = 4m, P = 60 KN, and w = 40KN/m. -8.27 mm O-10.11 mm O-6.30 mm L/27 -7.29 mm B W 4/2

2 kip/ft 40 kip-fl C B 10 ft 10 ft The simply-supported beam above is made of a steel wide-flange section with the following properties: E = 29000 ksi G = 10000 ksi !3! • A = 12.6 in2 • | = 428 in Which of the following is closest to the deflection of the beam at point C? O-1.02 in -0.113 in O -0.043 in -0.719 in

6. The beam shown supports a 15 kN concentrated load at the free end and another 15 kN at point C, determine the slope at B and the deflection at point C. Use E = 200 GPa and 1=9 x 107 mm¹. Use conjugate beam method 15 kN CS Scanned with CamScanner a A -2.0 m -21 b -4.0 m 15 kN c -31- -4.0 m

Q2) For the beam loaded as shown determine the deflection at the free end, and the beam rotation at the left support. Take EI= 860 kN.m². 15KN 10KN/m 30KN.m R1=33KN Im 3m Im Im R2=12KN

Compute the value of the following for the beam shown: (EI is constant.) a. Slope A b. Deflection Ap c. Location of maximum deflection between supports. Xm value measured from point A. d. Maximum deflection between supports 3 m- 48 kN/m B -2m-1m-

Q3) Using the slope-deflection method, draw the B.M.D for the beam ABCDE shown in Fig 100 kN 48 kN/m 0.75 m hinge C D 3m 3m 5m 6 m El is constant for all members

The rigid frame is subjected to the distributed load and point load as shown in the diagram. IAB = 500in4 IBC = 800in4 ICD = 500in4 E = 29,000ksi Using the method of virtual work for frames, determine the horizontal deflection at roller A.

%3D Determine the maximum deflection in region AB of the overhang beam. E = 29(10³) ksi and I= 204 in4 6 kip |3 kip 2 kip/ft A C 6 ft 6 ft- 6 ft-

Deflection of Beams Use Castiglianos Theorem Given: X - 274 у-74 а-8 b - 4 C- 9 Problem #1 #1 Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-sectional area of 600 mm². Take E = 200 GPa. B. 1.5 m- -1.5 m P = X a = A

The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; I = 370 x 106 mm“). For the loading shown, determine the beam deflection vc at point C. Assume P = 87 kN, w = 22 kN/m, LAB = Lsc = 3.9 m, LcD = 1.9 m. B |C LẠB LBC LCD m. Answer: vc =