Determine the deflection under a point load of 60 kN acting at 3 m apart from support A using the Castigliano's theorem. Total span of simply supported beam is 4 m. Take EI = 2.2 MNm2.

Determine the horizontal displacement of joint C using Castigliano's theorem. Each steel member has a cross-sectional area of 500 mm 2 E= 200 GPa 8 KN C 2 m D 18 KN 1.5 m B

Determine the deflection 8g at the free end of a cantilever beam AB with a uniform load of intensity q=4 kN/m acting over the middle of the length and a point load. The lenghth of beam is equal to L=3 m. The beam has flexural rigidity El=4286311 Nm². Note that upward deflection is positive. P=qL/6 A +4 3 9 L 3 13 B ↑

For the bearn and loading shown, use discontinuity functions to compute (a) the slope of the bear at B and (b) the deflection of the bearn at A. Assure a constant value of EI = 115000 kip ft² for the bear; wo = 2.8 kips/ft, LAB = 12 ft. LBC = 6 ft. Wo Answer: (a) 8B = (b) VA = LAB rad in. B LBC C X