Q3: Find the support reactions at A: y mm A P=last 2 student's ID#+100 (N) 124N last 3 student's ID# (mm) 724mm 20 mm D B C X last 3 student's ID#+20 mm 744mm 40 mm 60 mm Procedure: 1- Define your Cartesian system. 2- Identify the structure's supports and the type of structure (2D) or 3D 3- If the structure has more than one element dismember the structure and draw free body diagram (show all actions and reactions) on each element independently. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan functions to find force components in two perpendicular directions. 3.5- Add forces in each direction since they are parallel forces Rx=ΣFx Ry=ΣFy Rz=ΣFz

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter1: Introduction
Section: Chapter Questions
Problem 3CQ
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Q3:
Find the support reactions at A:
y
mm
A
P=last 2 student's ID#+100 (N)
124N
last 3 student's ID# (mm)
724mm
20 mm
D
B
C
X
last 3 student's ID#+20 mm
744mm
40 mm
60 mm
Transcribed Image Text:Q3: Find the support reactions at A: y mm A P=last 2 student's ID#+100 (N) 124N last 3 student's ID# (mm) 724mm 20 mm D B C X last 3 student's ID#+20 mm 744mm 40 mm 60 mm
Procedure:
1- Define your Cartesian system.
2- Identify the structure's supports and the type
of structure (2D) or 3D
3- If the structure has more than one element
dismember the structure and draw free body
diagram (show all actions and reactions) on
each element independently.
Tip: Pulley is a member
Rope is not an element because it is flexible,
but it shows the force (substitute it with a force)
If the Structure has one element draw free body
diagram for the element.
Tips to show forces on the free body diagram:
3.1- Determine the type of the supports
3.2- Show the unknown support reactions with
any assumed direction, BUT you cannot change
the assumed force direction once you decide.
3.3- In a common joint, you can decide on the
force direction in one element, however, in the
other one you need to follow the Newton's 3rd
law and show the opposite direction.
3.4- If you have multiple action forces in the
system, find force components for each force
independently.
Use Sin/Cos/Tan functions to find force
components in two perpendicular directions.
3.5- Add forces in each direction since they are
parallel forces
Rx=ΣFx
Ry=ΣFy
Rz=ΣFz
Transcribed Image Text:Procedure: 1- Define your Cartesian system. 2- Identify the structure's supports and the type of structure (2D) or 3D 3- If the structure has more than one element dismember the structure and draw free body diagram (show all actions and reactions) on each element independently. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan functions to find force components in two perpendicular directions. 3.5- Add forces in each direction since they are parallel forces Rx=ΣFx Ry=ΣFy Rz=ΣFz
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