Q. Determine the slope at the supports of the beam shown in Fig. I using the double integration method. Also, determine the maximum deflection. El is constant. E = 29,000 ksi and I = 3,500 in.4. 2 k/ft ↓ ↓ ↓ ↓ ↓ Fig. 1 A C B -15 ft- -6 ft-

Double Integration Method Determine the slope and deflection at B and the maximum deflection for the beam. EI is constant.

2. USE THE CONJUGATE BEAM METHOD TO DETERMINE THE SLOPES AT END A AND THE DEFLECTIONS AT POINTS B OF THE BEAM SHOWN BELOW. -5 m 120 kN B L = 15 m El constant 120 kN с |—–3 m -3

6. Given the beam loaded as shown, determine the deflection at the midspan. Use Conjugate Beam Method. 270 kN 45 kN/m A В 3 m 3 m 3 m El = constant E = 200 GPa I = 1665x10°mm4

Q. 5 Determine the deflections at B and C for the beam shown in Fig. 5 using the moment- area method. Also, determine the slope at D. El is constant. E = 20,000 ksi and I = 31500 in.4. 1.5 k/ft 30 k ↓↓↓↓ Fig. 5 A B C 6 ft 4 ft -- -5 ft-

show area moment diagram

1. Determine the slope and deflection at point B of the beam shown by the double integration method. (Quiz 1) 50 kN-m A -4 m. El = constant E = 70 GPa I = 164 (106) mm

Determine the slope and deflection at D for the beam shown by the conjugate beam method. EI is constant.

HW 2: Determine the horizontal and vertical components of the deflection at joint B of the truss shown in Fig. (a) by the virtual work method. 35 kN] 84 kN 4m 3m EA constant E = 200 GPa A = 1,200 mm² (a) IT I 4m ABH = 0.35 mm → ABV = 3.32 mm ↓ Ans. Ans.

The beam shown below is subjected to two 4 kN concentrated loads located 1.5 meters from each support. The bending moment diagram for the beam is plotted. Using the moment-area method, determine the deflection at point С. (A Assume E=200GPA, I=4×106 mm4) 4 kN 4 kN VD А В D00. 1.5 m 3 m 1.5 m 6 Bending Moment Diagram (kN.m) +