SlideShare ist ein Scribd-Unternehmen logo
1 von 8
Downloaden Sie, um offline zu lesen
Static Equilibrium



Kites Team
Static Equilibrium

(1) The sum of the forces acting on the rigid
body is zero
G
G
G

Ftotal = F + F2 +... =
1
G
0

(2) The vector sum of the torques about any
point S in a rigid body is zero
τtotal
G
 G
S
 τS

G

+ τ +... =
G
0
= ,1 S,2
Problem Solving Strategy

Force:
1. Identify System and Draw Free Body Diagram
2. Write down equations for static equilibrium of the forces
Torque:
1. Choose point to analyze the torque.
2.
3. Choose sign convention for torque
4. Calculate total torque about that point. (Note sign of torque.)
5. Write down equation for static equilibrium of the total torque.
Line of Action of the Force

• Moment Arm:
• Torque: τ = rF⊥ = rF sinθ = r F
S ⊥
Sign Convention

• Clockwise positive

• Counterclockwise

• positive
In-Class-Problem 17 Static 

Equilibrium: Forearm

In this problem you will
solve for the upward
force that the tendon
exerts to keep the
forearm horizontal;
and the downward
force that the upper
arm exerts on the
forearm at the elbow
joint.
In-Class-Problem 18 Static 

Equilibrium: Suspended Beam

•	 In this problem you
will solve for the
magnitude of the
tension in the cable
and the direction and
magnitude of the pivot
force.
In-Class-Problem 19 Static 

Equilibrium: The Ankle

Three unknowns, T, F, and β.
The angle α is determined
from anatomical data.
The force and torque static
equilibrium equations provide
the three conditions to solve
the problem.
By wisely choosing the point
about which to compute the
torque, the problem can be
greatly simplified.

Weitere ähnliche Inhalte

Was ist angesagt?

6161103 5.3 equations of equilibrium
6161103 5.3 equations of equilibrium6161103 5.3 equations of equilibrium
6161103 5.3 equations of equilibriumetcenterrbru
 
Statics free body diagram
Statics free body diagramStatics free body diagram
Statics free body diagramGourav Kapoor
 
Grade 11, U1A-L4, Motion Equations
Grade 11, U1A-L4, Motion EquationsGrade 11, U1A-L4, Motion Equations
Grade 11, U1A-L4, Motion Equationsgruszecki1
 
Chapter 1 Physics
Chapter 1 PhysicsChapter 1 Physics
Chapter 1 Physicschyland
 
Presentation on Equilibrium and Equilibrium equation 2D
Presentation on Equilibrium and Equilibrium equation 2DPresentation on Equilibrium and Equilibrium equation 2D
Presentation on Equilibrium and Equilibrium equation 2DToufiq Rifath
 
The kinds of force ( macam macam gaya )
The kinds of force ( macam macam gaya )The kinds of force ( macam macam gaya )
The kinds of force ( macam macam gaya )Suprapta Winarka
 
4 mechanics and materials lec2
4 mechanics and materials   lec24 mechanics and materials   lec2
4 mechanics and materials lec2aero103
 

Was ist angesagt? (9)

6161103 5.3 equations of equilibrium
6161103 5.3 equations of equilibrium6161103 5.3 equations of equilibrium
6161103 5.3 equations of equilibrium
 
Statics free body diagram
Statics free body diagramStatics free body diagram
Statics free body diagram
 
Grade 11, U1A-L4, Motion Equations
Grade 11, U1A-L4, Motion EquationsGrade 11, U1A-L4, Motion Equations
Grade 11, U1A-L4, Motion Equations
 
Chapter 1 Physics
Chapter 1 PhysicsChapter 1 Physics
Chapter 1 Physics
 
Ch3 平面運動 part1
Ch3 平面運動 part1Ch3 平面運動 part1
Ch3 平面運動 part1
 
Presentation on Equilibrium and Equilibrium equation 2D
Presentation on Equilibrium and Equilibrium equation 2DPresentation on Equilibrium and Equilibrium equation 2D
Presentation on Equilibrium and Equilibrium equation 2D
 
5-1-等速圓周運動
5-1-等速圓周運動5-1-等速圓周運動
5-1-等速圓周運動
 
The kinds of force ( macam macam gaya )
The kinds of force ( macam macam gaya )The kinds of force ( macam macam gaya )
The kinds of force ( macam macam gaya )
 
4 mechanics and materials lec2
4 mechanics and materials   lec24 mechanics and materials   lec2
4 mechanics and materials lec2
 

Ähnlich wie 2 equilibrium problem soliving

Nyquist Stability Criterion method of Control Systems
Nyquist Stability Criterion method of Control SystemsNyquist Stability Criterion method of Control Systems
Nyquist Stability Criterion method of Control Systemsmonaibrahim598401
 
Stress5_ht08.pdf
Stress5_ht08.pdfStress5_ht08.pdf
Stress5_ht08.pdfFikadu19
 
lecture9-nyquist_plot.pptx
lecture9-nyquist_plot.pptxlecture9-nyquist_plot.pptx
lecture9-nyquist_plot.pptxssuser46314b
 
16201806 bahan-ajar-ptm117-mekanika-teknik
16201806 bahan-ajar-ptm117-mekanika-teknik16201806 bahan-ajar-ptm117-mekanika-teknik
16201806 bahan-ajar-ptm117-mekanika-teknikDedy Wonkso
 
Vigas continuas
Vigas continuasVigas continuas
Vigas continuasNoerCampos
 
Formula Bank and Important tips for Mechanical Engineering Students for Compe...
Formula Bank and Important tips for Mechanical Engineering Students for Compe...Formula Bank and Important tips for Mechanical Engineering Students for Compe...
Formula Bank and Important tips for Mechanical Engineering Students for Compe...Vinoth Jebaraj A
 

Ähnlich wie 2 equilibrium problem soliving (10)

UDA 5 - P.pdf
UDA 5 - P.pdfUDA 5 - P.pdf
UDA 5 - P.pdf
 
Torque
TorqueTorque
Torque
 
lecture3-1.pptx
lecture3-1.pptxlecture3-1.pptx
lecture3-1.pptx
 
Nyquist Stability Criterion method of Control Systems
Nyquist Stability Criterion method of Control SystemsNyquist Stability Criterion method of Control Systems
Nyquist Stability Criterion method of Control Systems
 
Stress5_ht08.pdf
Stress5_ht08.pdfStress5_ht08.pdf
Stress5_ht08.pdf
 
lecture9-nyquist_plot.pptx
lecture9-nyquist_plot.pptxlecture9-nyquist_plot.pptx
lecture9-nyquist_plot.pptx
 
16201806 bahan-ajar-ptm117-mekanika-teknik
16201806 bahan-ajar-ptm117-mekanika-teknik16201806 bahan-ajar-ptm117-mekanika-teknik
16201806 bahan-ajar-ptm117-mekanika-teknik
 
Mohr circle
Mohr circleMohr circle
Mohr circle
 
Vigas continuas
Vigas continuasVigas continuas
Vigas continuas
 
Formula Bank and Important tips for Mechanical Engineering Students for Compe...
Formula Bank and Important tips for Mechanical Engineering Students for Compe...Formula Bank and Important tips for Mechanical Engineering Students for Compe...
Formula Bank and Important tips for Mechanical Engineering Students for Compe...
 

Mehr von aero103

Bending1
Bending1Bending1
Bending1aero103
 
Bending and distributed loads
Bending and distributed loadsBending and distributed loads
Bending and distributed loadsaero103
 
roller coasters
roller coastersroller coasters
roller coastersaero103
 
Bending 3
Bending 3Bending 3
Bending 3aero103
 
Bending 2
Bending 2Bending 2
Bending 2aero103
 
Stress deflections shafts in torsion
Stress   deflections shafts in torsionStress   deflections shafts in torsion
Stress deflections shafts in torsionaero103
 
Torsion of thin closed sections
Torsion of thin closed sectionsTorsion of thin closed sections
Torsion of thin closed sectionsaero103
 
Torsion of circular shafts
Torsion of circular shaftsTorsion of circular shafts
Torsion of circular shaftsaero103
 
Shearing & torsion of shell beams
Shearing & torsion of shell beamsShearing & torsion of shell beams
Shearing & torsion of shell beamsaero103
 
Shear & torsion
Shear & torsionShear & torsion
Shear & torsionaero103
 
7laha (stress and strain)
7laha (stress and strain)7laha (stress and strain)
7laha (stress and strain)aero103
 
7laha in equilibruim 2
7laha in equilibruim 27laha in equilibruim 2
7laha in equilibruim 2aero103
 
Structure is life 1
Structure  is life 1Structure  is life 1
Structure is life 1aero103
 
7laha in equilibruim
7laha in equilibruim7laha in equilibruim
7laha in equilibruimaero103
 
Stress & strain notes 222
Stress & strain notes 222Stress & strain notes 222
Stress & strain notes 222aero103
 
6 stress on trusses
6 stress on trusses6 stress on trusses
6 stress on trussesaero103
 
6 stress on trusses
6 stress on trusses6 stress on trusses
6 stress on trussesaero103
 
3 mechanics and materials lec1
3 mechanics and materials   lec13 mechanics and materials   lec1
3 mechanics and materials lec1aero103
 

Mehr von aero103 (20)

Bending1
Bending1Bending1
Bending1
 
Bending and distributed loads
Bending and distributed loadsBending and distributed loads
Bending and distributed loads
 
roller coasters
roller coastersroller coasters
roller coasters
 
Bending 3
Bending 3Bending 3
Bending 3
 
Bending 2
Bending 2Bending 2
Bending 2
 
Stress deflections shafts in torsion
Stress   deflections shafts in torsionStress   deflections shafts in torsion
Stress deflections shafts in torsion
 
Torsion of thin closed sections
Torsion of thin closed sectionsTorsion of thin closed sections
Torsion of thin closed sections
 
Torsion of circular shafts
Torsion of circular shaftsTorsion of circular shafts
Torsion of circular shafts
 
Shearing & torsion of shell beams
Shearing & torsion of shell beamsShearing & torsion of shell beams
Shearing & torsion of shell beams
 
Shear & torsion
Shear & torsionShear & torsion
Shear & torsion
 
8
88
8
 
6
66
6
 
7laha (stress and strain)
7laha (stress and strain)7laha (stress and strain)
7laha (stress and strain)
 
7laha in equilibruim 2
7laha in equilibruim 27laha in equilibruim 2
7laha in equilibruim 2
 
Structure is life 1
Structure  is life 1Structure  is life 1
Structure is life 1
 
7laha in equilibruim
7laha in equilibruim7laha in equilibruim
7laha in equilibruim
 
Stress & strain notes 222
Stress & strain notes 222Stress & strain notes 222
Stress & strain notes 222
 
6 stress on trusses
6 stress on trusses6 stress on trusses
6 stress on trusses
 
6 stress on trusses
6 stress on trusses6 stress on trusses
6 stress on trusses
 
3 mechanics and materials lec1
3 mechanics and materials   lec13 mechanics and materials   lec1
3 mechanics and materials lec1
 

2 equilibrium problem soliving

  • 2. Static Equilibrium (1) The sum of the forces acting on the rigid body is zero G G G Ftotal = F + F2 +... = 1 G 0 (2) The vector sum of the torques about any point S in a rigid body is zero τtotal G G S τS G + τ +... = G 0 = ,1 S,2
  • 3. Problem Solving Strategy Force: 1. Identify System and Draw Free Body Diagram 2. Write down equations for static equilibrium of the forces Torque: 1. Choose point to analyze the torque. 2. 3. Choose sign convention for torque 4. Calculate total torque about that point. (Note sign of torque.) 5. Write down equation for static equilibrium of the total torque.
  • 4. Line of Action of the Force • Moment Arm: • Torque: τ = rF⊥ = rF sinθ = r F S ⊥
  • 5. Sign Convention • Clockwise positive • Counterclockwise • positive
  • 6. In-Class-Problem 17 Static Equilibrium: Forearm In this problem you will solve for the upward force that the tendon exerts to keep the forearm horizontal; and the downward force that the upper arm exerts on the forearm at the elbow joint.
  • 7. In-Class-Problem 18 Static Equilibrium: Suspended Beam • In this problem you will solve for the magnitude of the tension in the cable and the direction and magnitude of the pivot force.
  • 8. In-Class-Problem 19 Static Equilibrium: The Ankle Three unknowns, T, F, and β. The angle α is determined from anatomical data. The force and torque static equilibrium equations provide the three conditions to solve the problem. By wisely choosing the point about which to compute the torque, the problem can be greatly simplified.