Equilibrium - Architectural Structures - Lecture Slides, Slides of Structural Design and Architecture

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Sn A RCHITECTURAL S TRUCTURES I: S TATICS AND S TRENGTH OF M ATERIALS

8 four equilibriumof a particle

lecture

Equilibrium • E

balanced

steady - resultant of forces on a particle is 0 X X

Equilibrium • E

collinear force system 0 = =

x x F R 0 = =

y y F R 0 =

− line in F

0

=

M M

Equilibrium • E

concurrent force system 0 = =

x x F R 0 = =

y y F R

0

=

M M

Free Body Diagram • E

sketch FBD

resolve each force into components - known & unknown angles - known & unknown forces - are any forces related to other forces? - write only as many equilibriumequations as needed

Free Body Diagram •

solve equations

most times 1 unknown easily solved - plug into other equation(s) - common to have unknowns of - force magnitudes - force angles

Cables Structures •

use high-strength steel

need - towers - anchors - don’t want movement

Cable Structures Eq

Cable Loads •

shape directlyrelated to thedistributed load

Cable Loads •

trig:

parabolic (catenary) - distributed uniform load θ

cos

T

T

x

θ 2 2

L

x

Lx

h

y

θ

sin

T

T

y

h y x

L ) L h L h ( L L

total 4 4 5 32 2 2 3 8