I m posting this question a second time. please solve the correct way The lower ends of the members of a 4-barpined-joint truss shown in the figure below arefixed in the x-y plane and a load is applied atthe upper joint. The (x,y,z) coordinates of thebase 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.Ox3DA2یاه13-12 BJThe relative cross sectional areas of the members are A₁ = 1/2, A2 = 1, A3=A4 = 14. Thebars have an axial stiffness ki =A¡E. The load P applied at point O causes a displacementat 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.

Solution: Given Data: A→8,0,0B→0,10,0C→-8,0,0D→0,-5,0O→0,-20,20 To Find:

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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.24P: A plane frame is constructed by using a pin connection between segments ABC and CDE. The frame has...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

I m posting this question a second time. please solve the correct way

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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