ƒ(¹) 2x Consider the spring assemblage shown in the figure above. Use the direct stiffness method. Suppose that F = 800 N. Determine the nodal displacements. (Enter your answers to three significant figures.) U₁ = U2 = ƒ(²) 3x = Uz = U4 = Determine the forces in the left element. (Enter your answers to three significant figures.) ƒ(1) N 1x ƒ(³) 4x = 10,000 N/m = m = m Determine the forces in the middle element. (Enter your answers to three significant figures.) ƒ(²) N = m = m F N Determine the forces in the right element. (Enter your answers to three significant figures.) ƒ(³) N 3x 30,000 N/m 10,000 N/m N N Determine the reaction force at node 1. (Enter your answer to three significant figures.) F1x N Determine the reaction force at node 4. (Enter your answer to three significant figures.) FAT N X

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.4.8P: Solve the preceding problem for the following data:P = 160 kN,JV = 200 tN,L = 2 m,b = 95 mm, h = 300...
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Uz =
U4
=
Consider the spring assemblage shown in the figure above. Use the direct stiffness method. Suppose that F = 800 N.
Determine the nodal displacements.
(Enter your answers to three significant figures.)
U₁ =
U₂ =
x(1)
1x
f(1)
2x
ƒ(²)
3x
=
=
f(3)
4x
Determine the forces in the left element.
(Enter your answers to three significant figures.)
N
=
10,000 N/m
=
m
=
m
=
m
Determine the forces in the middle element.
(Enter your answers to three significant figures.)
f(²)
N
2x
m
=
F
N
30,000 N/m
m
Determine the forces in the right element.
(Enter your answers to three significant figures.)
f(³)
N
3x
10,000 N/m
w
N
N
Determine the reaction force at node 1.
(Enter your answer to three significant figures.)
Fix
N
Determine the reaction force at node 4.
(Enter your answer to three significant figures.)
N
FAC
Transcribed Image Text:Uz = U4 = Consider the spring assemblage shown in the figure above. Use the direct stiffness method. Suppose that F = 800 N. Determine the nodal displacements. (Enter your answers to three significant figures.) U₁ = U₂ = x(1) 1x f(1) 2x ƒ(²) 3x = = f(3) 4x Determine the forces in the left element. (Enter your answers to three significant figures.) N = 10,000 N/m = m = m = m Determine the forces in the middle element. (Enter your answers to three significant figures.) f(²) N 2x m = F N 30,000 N/m m Determine the forces in the right element. (Enter your answers to three significant figures.) f(³) N 3x 10,000 N/m w N N Determine the reaction force at node 1. (Enter your answer to three significant figures.) Fix N Determine the reaction force at node 4. (Enter your answer to three significant figures.) N FAC
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