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Part A- Define the compatibility condition An infinitely rigid. weightless beam is supported by three circular posts, as shown. The outer posts are made of A-36 steel, and the central post is made of 2014-TO aluminum. Prior to loading. all posts have a length of 250 mm The system is subjected to a distributed load of 200 kN/m. Assume that the posts are rigidly connected to the beam and that the posts are subiected to the uniform, distributed joad applied to the beam Enter a compatibility condition that relates the displacement of the tops of the steel and aluminum posts due to the unknown axial forces in the posts. Let d, be the displacement of the top of the aluminum post due to the axial force and &, be the displacement of the top of the steel posts due to the axial force. > View Available Hint(s) ΑΣφ Submit Part B- Write the equilibrium equation Construct the equilibrium equation (in terms of force) that relates the axial load in the steel and aluminum posts to the distributed load applied to the beam, Let F. and F. equal the magnitudes of the force in each of the aluminum and steel posts, resoectively. Express your answer in terms of P, and F. > View Available Hint(s) kN =0 Submit Part C- Axial forces in the posts Determine the magnitude of the axial force in each of the steel and aluminum posts when subjected to the uniform distributed load. Treat compressive forces as negative and tensile forces as positive. Express your answers in kilinewtons to three significant figures separated by a comma. > View Available Hint(s) JAEd F, F - kN. kN Submit

Part A- Define the compatibility condition An infinitely rigid. weightless beam is supported by three circular posts, as shown. The outer posts are made of A-36 steel, and the central post is made of 2014-TO aluminum. Prior to loading. all posts have a length of 250 mm The system is subjected to a distributed load of 200 kN/m. Assume that the posts are rigidly connected to the beam and that the posts are subiected to the uniform, distributed joad applied to the beam Enter a compatibility condition that relates the displacement of the tops of the steel and aluminum posts due to the unknown axial forces in the posts. Let d, be the displacement of the top of the aluminum post due to the axial force and &, be the displacement of the top of the steel posts due to the axial force. > View Available Hint(s) ΑΣφ Submit Part B- Write the equilibrium equation Construct the equilibrium equation (in terms of force) that relates the axial load in the steel and aluminum posts to the distributed load applied to the beam, Let F. and F. equal the magnitudes of the force in each of the aluminum and steel posts, resoectively. Express your answer in terms of P, and F. > View Available Hint(s) kN =0 Submit Part C- Axial forces in the posts Determine the magnitude of the axial force in each of the steel and aluminum posts when subjected to the uniform distributed load. Treat compressive forces as negative and tensile forces as positive. Express your answers in kilinewtons to three significant figures separated by a comma. > View Available Hint(s) JAEd F, F - kN. kN Submit

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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200 kN/m -I-Beam 60 mm- 40 mm – 40 mm 250 mm Steel Aluminum Steel - 300 mm * 300 mm
Transcribed Image Text:200 kN/m -I-Beam 60 mm- 40 mm – 40 mm 250 mm Steel Aluminum Steel - 300 mm * 300 mm
Part A - Define the compatibility condition An infinitely rigid, weightless beam is supported by three circular posts, as shown. The outer posts are made of A-36 steel, and the central post is made of 2014-T6 aluminum. Prior to loading, all posts have a length of 250 mm. The system is subjected to a distributed load of 200 kN/m. Assume that the posts are rigidly connected to the beam and that the posts are subjected to the uniform, distributed load applied to the beam. Enter a compatibility condition that relates the displacement of the tops of the steel and aluminum posts due to the unknown axial forces in the posts. Let da be the displacement of the top of the aluminum post due to the axial force and & be the displacement of the top of the steel posts due to the axial force. > View Available Hint(s) IV AEo If Tvec S = Submit Part B - Write the equilibrium equation Construct the equilibrium equation (in terms of force) that relates the axial load in the steel and aluminum posts to the distributed load applied to the beam. Let E and F equal the magnitudes of the force in each of the aluminum and steel posts, respectively. Express your answer in terms of F and F. > View Available Hint(s) ΑΣφ It Tvec kN = 0 Submit Part C - Axial forces in the posts Determine the magnitude of the axial force in each of the steel and aluminum posts when subjected to the uniform distributed load. Treat compressive forces as negative and tensile forces as positive. Express your answers in kilinewtons three significant figures separated by a comma. > View Available Hint(s) ? F,, F, = kN, kN Submit
Transcribed Image Text:Part A - Define the compatibility condition An infinitely rigid, weightless beam is supported by three circular posts, as shown. The outer posts are made of A-36 steel, and the central post is made of 2014-T6 aluminum. Prior to loading, all posts have a length of 250 mm. The system is subjected to a distributed load of 200 kN/m. Assume that the posts are rigidly connected to the beam and that the posts are subjected to the uniform, distributed load applied to the beam. Enter a compatibility condition that relates the displacement of the tops of the steel and aluminum posts due to the unknown axial forces in the posts. Let da be the displacement of the top of the aluminum post due to the axial force and & be the displacement of the top of the steel posts due to the axial force. > View Available Hint(s) IV AEo If Tvec S = Submit Part B - Write the equilibrium equation Construct the equilibrium equation (in terms of force) that relates the axial load in the steel and aluminum posts to the distributed load applied to the beam. Let E and F equal the magnitudes of the force in each of the aluminum and steel posts, respectively. Express your answer in terms of F and F. > View Available Hint(s) ΑΣφ It Tvec kN = 0 Submit Part C - Axial forces in the posts Determine the magnitude of the axial force in each of the steel and aluminum posts when subjected to the uniform distributed load. Treat compressive forces as negative and tensile forces as positive. Express your answers in kilinewtons three significant figures separated by a comma. > View Available Hint(s) ? F,, F, = kN, kN Submit
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