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Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

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p11.49 Two steel beams support a concentrated load P = 45 kN,

as shown in Figure P11.49/50. Beam (1) is supported by a fixed

support at A and by a simply supported beam (2) at D. In the unloaded

condition, beam (1) touches, but exerts no force on, beam (2).

The beam lengths are a = 4.0 m, b = 1.5 m, and L 2 = 6 m. The

flexural rigidities of the beams are EI 1 = 40,000 kN · m 2 and EI 2 =

14,000 kN · m 2 . Determine the deflection of beam (1) (a) at D and

(b) at B.

p11.50 Two steel beams support a concentrated load P = 60 kN,

as shown in Figure P11.49/50. Beam (1) is supported by a fixed

support at A and by a simply supported beam (2) at D. In the unloaded

condition, beam (1) touches, but exerts no force on, beam

(2). The beam lengths are a = 5.0 m, b = 2.0 m, and L 2 = 8 m. The

flexural rigidities of the beams are EI 1 = 40,000 kN · m 2 and EI 2 =

25,000 kN · m 2 . Determine

C

A

(2)

a

L 2

2

(1)

D

b

L 2

2

P

B

E

(a) the reactions on beam (1) at A.

(b) the reaction on beam (2) at C.

FIGURE p11.49/50

478

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