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-

The truss shown in Fig.3 is supported by a roller at C and a hinge at D. Use Castigliano's theorem to calculate the horizontal deflection for point B. E-200 B. kN/mm² and A-800 mm² for all members. s) 15 kN 2 m 20 KN B Th 2 m Fig.3

1. If the shear at a point 1m from the roller support is equal to -217.65765765766kN, determine the value of "w". 2. Determine the deflection at point 3.2m from the hinge support. 3. Determine the deflection at point 1m from the roller support.

2. Determine the vertical deflection at joint B of the truss shown in Fig. below due to a temperature increase of 40° C in members AB and BC, and a temperature drop of 20° C in members AD, DE, EF, and CF. If member BE is 18 mm too long and member BC is 15mm too short. Use the method of virtual work. E 3.5 m D B -6 m- a = 1.2 (10-5)°C

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Use the moment-area method to determine the slope and deflection at point B of the beam.

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-

Determine the slope and deflection at point B of the steel beam shown. The reactions have been computed. E = 29(103) ksi, I = 800 in4.

Using the moment-area method find the deflection at point C of the simply supported beam.

QUESTION 2 - BEAM For the beam shown below, determine the vertical deflection at point B by using the virtual work method. EI is constant. -5 ft A -5 ft 12 k Į -5 ft B -5 ft- 70 k-ft Fig. 2