Quiz 1 - Mechanisms - 96/2 - University of...
Transcript of Quiz 1 - Mechanisms - 96/2 - University of...
2-force member
60o
100 lb10" 10"
200 lb
C
Normal Forces
pins in slots
STATICS REVIEWFREE-BODY DIAGRAM
SYSTEMS
Find forces Ax and Ay and A total
Find shear stress in pin A
Find the amount of normal stress in rod BC (diameter 0.5 in) and the shear stress in the pin at A (diameter 0.25 in) in single shear.
60o
100 lb
10" 10"
200 lb
C
200 lb
BC
Ax
Ay100 lb
90o
Find distance AC
Find force BC
Find Normal stress in BC
637 psi
125 lb 60o
30o
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3 kN
Member AC is made of 1040 hot rolled steel with a cross-section 10mm thick and 30mm wide and the 3 kN load is repeated. The hole for pin C is 12 mm in diameter. Find the force in member AC (hint, treat it as a truss at pin C). Will member AC fail at the hole?
3kN
AC
DC
4
3
5
Pages 714 and 721
Pg 727 curve B
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20o
150mm50mm
1kN
A
B
C
D
75mm
Find the stress in the 10 mm diameter connecting rod.If the rod is made of AISI 1020 steel with repeated loading, is it safe?
AyBC
20o
1kN
Annealed 393Hot rolled 448Cold drawn 517
Page 714 use annealed, Su = 393 MPa Sy = 296 MPa
It is safe
C
Cutting reaction
Surface normal force
Ax BC
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Fixed end and internal forces
300 lb
500 lb
P
VM300 lb
500 lb
Ax
Ay
Ma
a
P, V, M positive sign conventionStatics Sign Conventions
Positive Forces1st Quadrant
Positive MomentCounterclockwise
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Treat all joints at pinned1. Find support reaction A and F
2. Use special case pin D to find force BD
3. Draw free-body of pin A 4. ΣFx = 0 and ΣFy = 0 to find AB and AD
6. Draw free-body of pin B. Find forces BC and BE.
7. Draw free-body of pin C. Find force CE. Find stress in CE.
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5. Draw free-body of pin F. Find forces EF and CF. Find stress in EF and CF
Find the normal stress in bar BD. Show the free-body diagram and all work. Hint: the vertical force on pin E from the roller on the floor is zero because the frame has no y forces.
2800 lb
AP
Ay = 0Ax 2800 lb
N = 0
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