Question

CIVE 203- Homework2 Spring 2019 Problem 1. [40 pts] A 30-ft beam supported at both ends is shown in the figure below. Load Wi 200 lb, or W2 - 500 lb, or both may be applied at points B and C. The moment at the beam midpoint A. MA, will depend on the magnitude of the loads at B and C. 10ft 10ft B a) Determine the sample space of MA b) Assume the following respective probabilities for the position of the two loads: KWi at B)-0.25 P(Wi at C)-0.60 KWi at B) 0.30 KW% at C)-0.50 Compute the probability of each possible outcome in part (a). c) Compu te the probability of the following events: Ei: MAS 500 ft-lb E2:500 ft-lb< MAS 1000 ft-lb Es: Ma e (2500ft-lb, 3500 ft-lb) d) Assume that the positions of Wi and W2 are statistically independent. . Are the events Ei and Ez mutually exclusive? Explain why . Determine the probabilities of the following events:

This is an example from class:

Answer 1

Solution ธิ Given ths NDLO SO O SOO 200 ODD 4 DoD Soo 200 1o0D

t ρ(ca.atc) 02S 06 not havi ngeOt 02 P (wr.cnd >) pwr at c) 30 OS 们

fotoccing given table: 0 03 So00 S0 0 0 10 0 O.07S 12 S00 9,000 0,18 Arbre 30 SoO . 12,000 4 000

Coecttale tobty evcat PCe, tuEx) 'ctrt D.or.t b-O 5 t 0-18 +0.12 t: 0.4부 s 0-3s