1 S2010abn five rigid body equilibrium Rigid Body Equilibrium 1 Lecture 5 Architectural Structures ARCH 331 lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN ARCH 331 DR. ANNE NICHOLS FALL 2013 S2010abn 0 x x F R 0 y y F R 0 M M Equilibrium • rigid body – doesn’t deform – coplanar force systems • static: Rigid Body Equilibrium 2 Lecture 5 Foundations Structures ARCH 331 A C B S2010abn Free Body Diagram • FBD (sketch) • tool to see all forces on a body or a point including – external forces – weights – force reactions – external moments – moment reactions – internal forces Rigid Body Equilibrium 3 Lecture 5 Foundations Structures ARCH 331 S2010abn Free Body Diagram • determine body • FREE it from: – ground – supports & connections • draw all external forces acting ON the body – reactions – applied forces – gravity Rigid Body Equilibrium 4 Lecture 5 Foundations Structures ARCH 331 mg + weight 100 lb 100 lb
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1
S2010abn
five
rigid body
equilibriumRigid Body Equilibrium 1
Lecture 5
Architectural Structures
ARCH 331
lecture
ARCHITECTURAL STRUCTURES:
FORM, BEHAVIOR, AND DESIGN
ARCH 331
DR. ANNE NICHOLS
FALL 2013
S2010abn
0 xx FR
0 yy FR
0MM
Equilibrium
• rigid body
– doesn’t deform
– coplanar force systems
• static:
Rigid Body Equilibrium 2
Lecture 5
Foundations Structures
ARCH 331
A
CB
S2010abn
Free Body Diagram
• FBD (sketch)
• tool to see all forces on a body or a
point including
– external forces
– weights
– force reactions
– external moments
– moment reactions
– internal forces
Rigid Body Equilibrium 3
Lecture 5
Foundations Structures
ARCH 331
S2010abn
Free Body Diagram
• determine body
• FREE it from:
– ground
– supports & connections
• draw all external forcesacting ON the body
– reactions
– applied forces
– gravity
Rigid Body Equilibrium 4
Lecture 5
Foundations Structures
ARCH 331
mg
+ weight
100 lb
100 lb
2
S2010abn
Free Body Diagram• sketch FBD with relevant geometry
• resolve each force into components– known & unknown angles – name them
– known & unknown forces – name them
– known & unknown moments – name them
• are any forces related to other forces?
• for the unknowns
• write only as many equilibrium equations as needed