3.4 The load on a cantilever beam of length L consists of a load Pat the tip (free end) and a distributed load wacting over the entire length. Both Pand ware random variables. The length is assumed to be deterministic, and its value is 6 ft. The statistical parameters of Pand ware as follows (1 lb = 4.448 N; 1 ft = 0.3048 m): Hp = 4000 lb Vp = 10% Hu = 50 lb/ft V = 10% A. Calculate the mean and standard deviation of the internal bending moment at the fixed end. B. Calculate the mean and standard deviation of the internal shear force at the fixed end. C. If both Pand w are normal random variables, what is the probability that the bending moment at the fixed end will exceed 29 k-ft (1 k-ft = 1.356 kN-m)? D. If both Pand w are normal random variables, what is the probability that the shear force at the fixed end will exceed 5000 lb?
3.4 The load on a cantilever beam of length L consists of a load Pat the tip (free end) and a distributed load wacting over the entire length. Both Pand ware random variables. The length is assumed to be deterministic, and its value is 6 ft. The statistical parameters of Pand ware as follows (1 lb = 4.448 N; 1 ft = 0.3048 m): Hp = 4000 lb Vp = 10% Hu = 50 lb/ft V = 10% A. Calculate the mean and standard deviation of the internal bending moment at the fixed end. B. Calculate the mean and standard deviation of the internal shear force at the fixed end. C. If both Pand w are normal random variables, what is the probability that the bending moment at the fixed end will exceed 29 k-ft (1 k-ft = 1.356 kN-m)? D. If both Pand w are normal random variables, what is the probability that the shear force at the fixed end will exceed 5000 lb?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:3.4 The load on a cantilever beam of length L consists of a load Pat the tip (free end) and a distributed
load wacting over the entire length. Both Pand ware random variables. The length is assumed to be
deterministic, and its value is 6 ft. The statistical parameters of Pand ware as follows (1 lb = 4.448 N;
1 ft = 0.3048 m):
Hp = 4000 lb
Hw = 50 lb/ft
Vp = 10%
Vụ = 10%
%3D
A. Calculate the mean and standard deviation of the internal bending moment at the fixed end.
B. Calculate the mean and standard deviation of the internal shear force at the fixed end.
C. If both Pand w are normal random variables, what is the probability that the bending moment
at the fixed end will exceed 29 k-ft (1 k-ft = 1.356 kN-m)?
D. If both Pand w are normal random variables, what is the probability that the shear force at the
fixed end will exceed 5000 lb?
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The length of the beam is .
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