a) Ignoring the self-weight of the members, determine the support reactions.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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P₁
290kN
210KN
y-axis
Î
Table 1: Parameters for Question 1
P3
0
B
250KN
30°
40°
2m
B
B
►x-axis
A
0.5L₁
PI
P2
4₂
Table 2: Cost per bolt
Cost per Bolt
Bolt
Grade:
Grade:
Size
4.6
8.8
M12
$9
M16
$11
$20
M20
$15
$24
M24
$17
$26
M30
$21
$28
M36
$23
▬▬▬▬▬
P3
L₂
2.7m
E
D
L3
4.4m
Transcribed Image Text:P₁ 290kN 210KN y-axis Î Table 1: Parameters for Question 1 P3 0 B 250KN 30° 40° 2m B B ►x-axis A 0.5L₁ PI P2 4₂ Table 2: Cost per bolt Cost per Bolt Bolt Grade: Grade: Size 4.6 8.8 M12 $9 M16 $11 $20 M20 $15 $24 M24 $17 $26 M30 $21 $28 M36 $23 ▬▬▬▬▬ P3 L₂ 2.7m E D L3 4.4m
QUESTION 1
Use Figure 1, a pin jointed steel truss with bolted connections and the values presented in Tables 1 and 2, as well as
your mathematical thinking and reasoning to respond to the following questions.
a) Ignoring the self-weight of the members, determine the support reactions.
b) Ignoring the self-weight of the members, determine the force in the four members AB, AD, CD and AC.
c) Design members AB, AD, CD and AC. Use Equal Angle (EA) Sections for members in Tension and assume
the member is bolted with 1 Hole in Leg. Use Square Hollow Sections (SHS) for members in Compression.
For zero-force members use SHS 65x65x1.6.
d) Determine the stress, strain and elongation/shortening of member AB (Assume Esteel = 200,000 MPa)
e) Design the bolts for the connections on members AB, AD, CD and AC. Use the same "Grade:8.8" bolt size
for all connections. That is, whatever bolt size is selected on one member, needs to be used on the other
three members.
f) The steel price is $16 per kg, and the bolt price is provided in Table 2. Determine the total cost of the
material to build members AB, AD, CD and AC.
Remember to include free body diagrams at part (a) and part (b) and your answers must be consistent with the
orientation of the truss presented in Figure 1.
Transcribed Image Text:QUESTION 1 Use Figure 1, a pin jointed steel truss with bolted connections and the values presented in Tables 1 and 2, as well as your mathematical thinking and reasoning to respond to the following questions. a) Ignoring the self-weight of the members, determine the support reactions. b) Ignoring the self-weight of the members, determine the force in the four members AB, AD, CD and AC. c) Design members AB, AD, CD and AC. Use Equal Angle (EA) Sections for members in Tension and assume the member is bolted with 1 Hole in Leg. Use Square Hollow Sections (SHS) for members in Compression. For zero-force members use SHS 65x65x1.6. d) Determine the stress, strain and elongation/shortening of member AB (Assume Esteel = 200,000 MPa) e) Design the bolts for the connections on members AB, AD, CD and AC. Use the same "Grade:8.8" bolt size for all connections. That is, whatever bolt size is selected on one member, needs to be used on the other three members. f) The steel price is $16 per kg, and the bolt price is provided in Table 2. Determine the total cost of the material to build members AB, AD, CD and AC. Remember to include free body diagrams at part (a) and part (b) and your answers must be consistent with the orientation of the truss presented in Figure 1.
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