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( The internal moment fund M(x) = ¹/x - 1x² Determine the location of (m) Determine the magnitude Umax = (m) x =

( The internal moment fund M(x) = ¹/x - 1x² Determine the location of (m) Determine the magnitude Umax = (m) x =

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A train is parked on a steel bridge as shown in the figure below. The steel bridge is simply supported by a pin support at point A and a roller support at point B. The bridge has a modulus of Eo = 210 GPa, 2nd moment of area I₂ = 2 m¹ and length L = 150 m. The train has a weight of W = 1000000 N and the same length as the bridge. Use the SI unit for calculation. a) Determine the intensity of the uniformly distributed load: f (N/m) b) Write the mathematical expression for the two quantities below, in terms of parameters f, Iz, Eo, L and x. Determine the elastic curve formula for the deflection of the bridge. V= Determine the slope formula for the bridge under the applied loading. The internal moment function for the bridge is given as: M(x) = ¹/x - {x² Determine the location of the maximum deflection of the bridge: (m) X = Determine the magnitude of the maximum deflection of the bridge: (m) Umax =
Transcribed Image Text:A train is parked on a steel bridge as shown in the figure below. The steel bridge is simply supported by a pin support at point A and a roller support at point B. The bridge has a modulus of Eo = 210 GPa, 2nd moment of area I₂ = 2 m¹ and length L = 150 m. The train has a weight of W = 1000000 N and the same length as the bridge. Use the SI unit for calculation. a) Determine the intensity of the uniformly distributed load: f (N/m) b) Write the mathematical expression for the two quantities below, in terms of parameters f, Iz, Eo, L and x. Determine the elastic curve formula for the deflection of the bridge. V= Determine the slope formula for the bridge under the applied loading. The internal moment function for the bridge is given as: M(x) = ¹/x - {x² Determine the location of the maximum deflection of the bridge: (m) X = Determine the magnitude of the maximum deflection of the bridge: (m) Umax =
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