Structural Analysis Methods II: Structural Systems - Mechanics of Structures: Variational and Computational Methods - page 318

5.2 Calculate the distribution of displacements and forces at the cantilevered and free
ends of the beam of Fig. P5.2.
Partial Answer :

x ( ft )w( in .) θ V ( lb ) M ( in . − lb )

0 0 0 5000 − 1 , 512 , 000

10 − 3 18 0 . 112 − 0 . 8748 × 3000 − 432 , 000

10 − 2 30 0 . 250 − 0 . 1004 × 0 0

FIGURE P5.2

5.3 Determine the bending moment and deflection at midspan of the beam of Fig. P5.3.
Answer: M = 104 . 2 Nm, w = 0 . 00755 mm

FIGURE P5.3

5.4 Find t he displacem en ts and net intern al f orces along the beam of Fig. P5.4, if p 0 = 200

N/m, P = 500 N, M b = 300 Nm, and M c = 100 Nm.

Partial Answer:

x ( m )w( mm ) θ ( rad ) V ( N ) M ( Nm )

0 0 0 837 . 5 − 375 . 0

10 − 5 1 0 . 0134 0 . 248 × 137 . 5 62 . 5

10 − 4

2 0 0 . 258 × − 62 . 5 100 . 0