Beam AB has a sliding support at A and a roller support at B, and supports a distributed load of maximum intensity 9 acting on the right-hand half of the beam. (See the figure. Assume the beam has constant flexural rigidity EI.) 90 C B/ L/2 1/2 Derive the equations of the deflection curve for beam AB. Use the fourth-order differential equation of the deflection curve (the load equation). (Enter the magnitudes. Use the following as necessary: qo, L, E, I, and x.) v (0 ≤x≤ 1/2) = v ( ½ - SXSL) = Also, determine deflection angle of rotation, and deflection at the midpoint. (Enter the magnitudes. Use the following as necessary: qo, L, E, and I.) 8c =
Beam AB has a sliding support at A and a roller support at B, and supports a distributed load of maximum intensity 9 acting on the right-hand half of the beam. (See the figure. Assume the beam has constant flexural rigidity EI.) 90 C B/ L/2 1/2 Derive the equations of the deflection curve for beam AB. Use the fourth-order differential equation of the deflection curve (the load equation). (Enter the magnitudes. Use the following as necessary: qo, L, E, I, and x.) v (0 ≤x≤ 1/2) = v ( ½ - SXSL) = Also, determine deflection angle of rotation, and deflection at the midpoint. (Enter the magnitudes. Use the following as necessary: qo, L, E, and I.) 8c =
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![Beam AB has a sliding support at A and a roller support at B, and supports a distributed load of maximum intensity acting on the right-hand half of the beam. (See the figure. Assume the beam has constant flexural rigidity EI.)
90
A
C
B
L/2
L/2
Derive the equations of the deflection curve for beam AB. Use the fourth-order differential equation of the deflection curve (the load equation). (Enter the magnitudes. Use the following as necessary: 9o, L, E, I, and x.)
v (osxs) - [
=
*(X) =
Also, determine deflection &A, angle of rotation, and deflection at the midpoint. (Enter the magnitudes. Use the following as necessary: 90, L, E, and I.)
8A =
=
8c =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa222c631-3cd9-452b-9e60-beb4d7c6b196%2Ff4aceab0-b7b7-46b2-b90f-a774d1f5ef4e%2Flnl0mza_processed.png&w=3840&q=75)
Transcribed Image Text:Beam AB has a sliding support at A and a roller support at B, and supports a distributed load of maximum intensity acting on the right-hand half of the beam. (See the figure. Assume the beam has constant flexural rigidity EI.)
90
A
C
B
L/2
L/2
Derive the equations of the deflection curve for beam AB. Use the fourth-order differential equation of the deflection curve (the load equation). (Enter the magnitudes. Use the following as necessary: 9o, L, E, I, and x.)
v (osxs) - [
=
*(X) =
Also, determine deflection &A, angle of rotation, and deflection at the midpoint. (Enter the magnitudes. Use the following as necessary: 90, L, E, and I.)
8A =
=
8c =
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