978-0128012420 Chapter 8 Part 1

subject Type Homework Help
subject Pages 13
subject Words 2071
subject Textbook Exploring Engineering: An Introduction to Engineering and Design 4th Edition
subject Authors George Wise, Philip Kosky, Robert T. Balmer, William D. Keat
search this document

Unlock document.

This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
page-pf1
page-pf2
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
= 360,000 lb
8-2. For the given structure, do your best to identify all of its members as beams,
compression members, or tension members.
10. kN
A
C
B
D
E
F
G
HJ
5.0 kN5.0 kN
cable cable
Need: Identify member types
Know: Topology of the structure; the locations of the forces; cables are present
page-pf3
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
For each of the trusses shown in Exercises 3–7, determine the forces on all members
by the method of joints. Use a spreadsheet to solve the equations.
8-3.
7.00 ft
5.00 ft
A C
7.00 ft
1000. lbf
B
Need: Forces on all members of the truss
7
page-pf4
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
Counts unknowns and equations:
6 unknowns and 6 equations (2 per FBD); therefore statically determinate
Write the equilibrium equations:
0
y
Pin B:
0)5.35cos()5.35cos( BCAB FF
0
y
F
01000)5.35sin()5.35sin( BCAB FF
Pin C:
0)5.35cos( BCAC FF
0
y
F
0)5.35sin( YBC CF
Tabulate coefficients and right-hand side constants:
EQ
FAB
FAC
FBC
AX
AY
CY
RHs
1
0.814
1
0
1
0
0
0
2
0.581
0
0
0
1
0
0
3
-0.814
0
0.814
0
0
0
0
4
-0.581
0
-0.581
0
0
0
1000
5
0
-1
-0.814
0
0
0
0
6
0
0
0.581
0
0
1
0
Solve the equations using a spreadsheet:
page-pf5
page-pf6
page-pf7
page-pf8
page-pf9
page-pfa
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
Write the equilibrium equations:
0
y
Tabulate coefficients and right-hand side constants:
EQ
FAB
FBC
FCD
FDE
FAE
FCE
FBE
AX
AY
DY
RHS
1
.448
0
0
0
1
0
0
1
0
0
0
2
.894
0
0
0
0
0
0
0
1
0
0
3
-.448
1
0
0
0
0
.448
0
0
0
0
4
-.894
0
0
0
0
0
-.894
0
0
0
0
5
0
-1
.448
0
0
-.448
0
0
0
0
0
6
0
0
-.894
0
0
-.894
0
0
0
0
0
7
0
0
-.448
-1
0
0
0
0
0
0
0
8
0
0
.894
0
0
0
0
0
0
1
0
9
0
0
0
1
-1
.448
-.448
0
0
0
0
10
0
0
0
0
0
.894
.894
0
0
0
5.00
Solve the equations using a spreadsheet:
page-pfb
page-pfc
page-pfd
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
Write the equilibrium equations:
0
y
Tabulate coefficients and right-hand side constants:
EQ
FAB
FBC
FCD
FDE
FEF
FAF
FBF
FCF
FDF
AX
AY
EY
RHS
1
0
0
0
0
0
1
0
0
0
1
0
0
0
2
1
0
0
0
0
0
0
0
0
0
1
0
0
3
0
1
0
0
0
0
.707
0
0
0
0
0
0
4
-1
0
0
0
0
0
-.707
0
0
0
0
0
0
5
0
-1
1
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
-1
0
0
0
0
0
7
0
0
-1
0
0
0
0
0
-.707
0
0
0
0
8
0
0
0
-1
0
0
0
0
-.707
0
0
0
0
9
0
0
0
0
-1
0
0
0
0
0
0
0
0
10
0
0
0
1
0
0
0
0
0
0
0
1
0
11
0
0
0
0
1
-1
-.707
0
.707
0
0
0
0
12
0
0
0
0
0
0
.707
1
.707
0
0
0
8.00
page-pfe
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
Solve the equations using a spreadsheet:
Solution of the Equations for Exercise 8.6
0 0 0 0 0 1 0 0 0 1 0 0 0
1 0 0 0 0 0 0 0 0 0 1 0 0
0 1 0 0 0 0 0.707 0 0 0 0 0 0
-1 0 0 0 0 0 -0.707 0 0 0 0 0 0
0-1 1 0 0 0 0 0 0 0 0 0 0
[A] = 0 0 0 0 0 0 0 1 0 0 0 0 {b} = 0
0 0 -1 0 0 0 0 0 -0.707 0 0 0 0
0 0 0 -1 0 0 0 0 -0.707 0 0 0 0
0 0 0 0 -1 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0 1 0
0 0 0 0 1 -1 -0.707 0 0.707 0 0 0 0
0 0 0 0 0 0 0.707 1 0.707 0 0 0 8
0 0 -0.5 -1 -0.5 0.5 -0.5 0 0 0 0 -0.5 -4
= FAB
0 0 0.5 0 -0.5 0.5 -0.5 0 0 0 0 -0.5 -4
= FBC
0 0 0.5 0 0.5 0.5 -0.5 0 0 0 0 -0.5 -4
= FCD
0 0 0.5 0 0.5 0.5 0.5 -1 0 0 0 -0.5 -4
= FDE
0 0 0 0 0 0 0 0 -1 0 0 0 0
= FEF
inv[A] = 0 0 -1 0-1 0-1 0-1 0-1 0 {x} = 0
= FAF
0 0 0.7072 0 0.7072 -0.707 0.7072 0 0 0 0 0.7072 5.66
= FBF
0 0 0 0 0 1 0 0 0 0 0 0 0
= FCF
0 0 -0.707 0 -0.707 -0.707 -0.7072 0 0 0 0 0.7072 5.66
= FDF
1 0 1 0 1 0 1 0 1 0 1 0 0
= AX
0 1 0.5 1 0.5 -0.5 0.5 0 0 0 0 0.5 4
= AY
0 0 -0.5 0 -0.5 -0.5 -0.5 1 0 1 0 0.5 4
= EY
page-pff
page-pf10
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
16 unknowns and 16 equations (2 per FBD); therefore statically
determinate
Write the equilibrium equations:
0
y
Tabulate coefficients and right-hand side constants:
page-pf11
Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition
EQ
FAB
FBC
FCD
FDE
FEF
FGF
FGH
FAH
FBH
FBG
FCG
FDG
FDF
AX
AY
EY
RHS
1
.707
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
2
.707
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
-
.707
.707
0
0
0
0
0
0
0
.707
0
0
0
0
0
0
0
4
-
.707
.707
0
0
0
0
0
0
-1
-
.707
0
0
0
0
0
0
0
5
0
-
.707
.707
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
-
.707
-
.707
0
0
0
0
0
0
0
-1
0
0
0
0
0
0
7
0
0
-
.707
.707
0
0
0
0
0
0
0
-
.707
0
0
0
0
0
8
0
0
.707
-
.707
0
0
0
0
0
0
0
-
.707
-1
0
0
0
0
9
0
0
0
-
.707
-1
0
0
0
0
0
0
0
0
0
0
0
0
10
0
0
0
.707
0
0
0
0
0
0
0
0
0
0
0
1
0
11
0
0
0
0
1
-1
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
800
13
0
0
0
0
0
1
-1
0
0
-
.707
0
.707
0
0
0
0
0
14
0
0
0
0
0
0
0
0
0
.707
1
.707
0
0
0
0
1600
15
0
0
0
0
0
0
1
-1
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
800
Solve the equations using a spreadsheet:
page-pf12
page-pf13

Trusted by Thousands of
Students

Here are what students say about us.

Resources
Company
Legal

Copyright ©2022 All rights reserved. | CoursePaper is not sponsored or endorsed by any college or university.