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

Trusses, Straight Members, Force Members, Truss Analysis, Truss Connections, Require Lateral Bracing, Indeterminate Trusses, Solvable With Statics, Displacement Methods, Too Few Members. Its lecture of Architectural Structures. A complete lecture series is in my files.

Typology: Slides

2011/2012

Uploaded on 12/22/2012

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bg1
1
five
trusses
& columns
Columns & Trusses 1
Lecture 5 Applied Architectural Structures
lecture
www.nyc-architecture.com
APPLIED ARCHITECTURAL STRUCTUR ES:
STRUCTURAL ANALYSIS AND SYSTEMS
Columns & Trusses 2
Lecture 4 Architectural Structures III
ARCH 631 F2007abn
Trusses
ancient (?) wood
1800s analysis
efficient
long spans
comprised of straight members
geometry with triangles is stable
loads applied only at joints
Trusses
http://nisee.berkeley.edu/godden
Columns & Trusses 4
Lecture 4 Architectural Structures III
ARCH 631 F2007abn
Trusses
2 force members
compression
tension
3 members connected by 3 joints
2 more members need
1 more joint
32 nb )32( jn
docsity.com
pf3
pf4
pf5
pf8
pf9
pfa

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1

five

trusses

& columns

Columns & Trusses Lecture 5 1 Applied Architectural Structures

lecture

www.nyc-architecture.com

APPLIED ARCHITECTURAL STRUCTURES:
STRUCTURAL ANALYSIS AND SYSTEMS

Columns & Trusses 2Lecture 4 Architectural Structures IIIARCH 631 F2007abn

Trusses

  • ancient (?) wood
  • 1800 s analysis
  • efficient
  • long spans
  • comprised of straight members
  • geometry with triangles is stable
  • loads applied only at joints

Trusses

http://nisee.berkeley.edu/godden Columns & Trusses 4Lecture 4 Architectural Structures IIIARCH 631 F2007abn

Trusses

  • 2 force members
    • compression
    • tension
  • 3 members connected by 3 joints
  • 2 more members need

1 more joint

b  2 n  3

( n  2 j  3 )

2

Columns & Trusses Lecture 4 5 Architectural Structures III

Truss Analysis

  • visualize compression and tension from

deformed shape

http://nisee.berkeley.edu/godden Columns & Trusses Lecture 4^6 Architectural Structures III

Truss Analysis

  • Method of Joints

  • Method of Sections

  • Graphical Methods
  • all rely on equilibrium
    • of bodies
    • internal equilibrium

http:// nisee.berkeley.edu/godden

 F  0
 F  0
 M  0

Columns & Trusses Lecture 4 7 Architectural Structures III

Truss Connections

  • “pins”
    • can’t resist rotation

http:// nisee.berkeley.edu/godden

Columns & Trusses Lecture 4 8 Architectural Structures III

Trusses

  • require lateral bracing
  • consider buckling
  • indeterminate trusses
    • extra members
    • solvable with statics
      • cables can’t hold compression
    • displacement methods
      • elastic elongation
    • too few members, unstable

http:// nisee.berkeley.edu/godden

One Maritime Plaza, SOM 1964

F  0

F  0

M  0

4

5

7

Columns & Trusses Lecture 4 25 Architectural Structures III

Tools – Multiframe

  • to run analysis choose
    • Analyze menu
      • Linear
  • plot
    • choose options
  • results
    • choose options

8

related to E, I, & L

  2

min

2

L

EI

Pcritical

A
I
r 

a

actual

critical F

A

P

f  

weak axis

  2

2 2

2 2

r
L
E
AL
EAr
A
P
f

e e

critical critical

2 e

2 critical

r
L
EA
P

F2011abn

Critical Stresses

  • when a column gets stubby, Fy will limit the load
  • real world has loads with eccentricity
  • buckling for steel when Fe < 0.44Fy

Columns & Trusses Lecture 5 31 Architectural Structures III

Fy

E

r

KL

10

F2010abn

max

FS

f

f  Fcr  cr

  • axial + bending
  • design

M  P  e

I

Mc

A

P

f max  

Columns & Trusses Lecture 5 37 Architectural Structures III

Combined Stresses