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The lower ends of the members of a 4-bar pined-joint truss shown in the figure below are fixed in the x-y plane and a load is applied at the upper joint. The (x,y,z) coordinates of the base points A, B, C, D and the load point O are (8,0,0), (0,10,0), (-8,0,0), (0,-5,0), and (0,-20,20) respectively.

The lower ends of the members of a 4-bar pined-joint truss shown in the figure below are fixed in the x-y plane and a load is applied at the upper joint. The (x,y,z) coordinates of the base points A, B, C, D and the load point O are (8,0,0), (0,10,0), (-8,0,0), (0,-5,0), and (0,-20,20) respectively.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The lower ends of the members of a 4-bar pined-joint truss shown in the figure below are fixed in the x-y plane and a load is applied at the upper joint. The (x,y,z) coordinates of the base points A, B, C, D and the load point o are (8,0,0), (0,10,0), (-8,0,0), (0,-5,0), and (0,-20,20) respectively. O x 3 D A 2 یاه 13-1 2 B J The relative cross sectional areas of the members are A₁ = 1/2, A2 = 1, A3=A4 = 14. The bars have an axial stiffness ki =A¡E. The load P applied at point O causes a displacement at O, d =(0,v,w). (i) Write the equilibrium equations for the truss in terms of the displacements v and w. (ii) Determine the loads in the truss members in terms of the load P and the modulus E.
Transcribed Image Text:The lower ends of the members of a 4-bar pined-joint truss shown in the figure below are fixed in the x-y plane and a load is applied at the upper joint. The (x,y,z) coordinates of the base points A, B, C, D and the load point o are (8,0,0), (0,10,0), (-8,0,0), (0,-5,0), and (0,-20,20) respectively. O x 3 D A 2 یاه 13-1 2 B J The relative cross sectional areas of the members are A₁ = 1/2, A2 = 1, A3=A4 = 14. The bars have an axial stiffness ki =A¡E. The load P applied at point O causes a displacement at O, d =(0,v,w). (i) Write the equilibrium equations for the truss in terms of the displacements v and w. (ii) Determine the loads in the truss members in terms of the load P and the modulus E.
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