P P P P P 6 T 6 66 6 6 i (a) Determine the deflection & at the midpoint of the beam. (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₁ = (b) If the same total load (5P) is distributed as a uniform load on the beam, what is the deflection 82 at the midpoint? (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₂ = (c) Calculate the ratio of ₁ to ₂. B
P P P P P 6 T 6 66 6 6 i (a) Determine the deflection & at the midpoint of the beam. (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₁ = (b) If the same total load (5P) is distributed as a uniform load on the beam, what is the deflection 82 at the midpoint? (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₂ = (c) Calculate the ratio of ₁ to ₂. B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![A simple beam AB supports five equally spaced loads P (see figure). (Solve the problem by the method of superposition. The beam has constant flexural rigidity EI.)
P p p
B
L
L
L
L
L
6 6 6
6
6 6
(a) Determine the deflection &, at the midpoint of the beam. (Enter the magnitude. Use the following as necessary: P, L, E, and I.)
8₁ =
(b) If the same total load (5P) is distributed as a uniform load on the beam, what is the deflection 2 at the midpoint? (Enter the magnitude. Use the following as necessary: P, L, E, and I.)
8₂ =
(c) Calculate the ratio of ₁ to 82.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F857a5366-60e2-4ace-9151-375ed5c90fed%2F7a1f2d73-1327-4f6f-bf73-30b295584158%2Fd5n05yd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A simple beam AB supports five equally spaced loads P (see figure). (Solve the problem by the method of superposition. The beam has constant flexural rigidity EI.)
P p p
B
L
L
L
L
L
6 6 6
6
6 6
(a) Determine the deflection &, at the midpoint of the beam. (Enter the magnitude. Use the following as necessary: P, L, E, and I.)
8₁ =
(b) If the same total load (5P) is distributed as a uniform load on the beam, what is the deflection 2 at the midpoint? (Enter the magnitude. Use the following as necessary: P, L, E, and I.)
8₂ =
(c) Calculate the ratio of ₁ to 82.
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