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Foundations Structures: Pinned Frames, Rigid Frames, Arches, and Continuous Beams - Prof. , Study notes of Architecture

Texas A&M University (A&M)Architecture
Prof. Anne Nichols

A series of lecture notes from a foundations structures course (arch 331) taught by dr. Anne nichols during spring 2009. The notes cover various topics related to pinned frames, rigid frames, arches, and continuous beams. Topics include the behavior, design, and types of pinned frames, rigid frames, and arches, as well as the analysis methods for continuous beams.

Typology: Study notes

Pre 2010

Uploaded on 02/13/2009

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1
Pinned Frames 1
Lecture 11
Foundations Structures
ARCH 331
F2008abn
F
OUNDATIONS
S
TRUCTURES
:
F
ORM,
B
EHAVIOR, AND
D
ESIGN
ARCH 331
D
R.
A
NNE
N
ICHOLS
S
PRING 2009
eleven
other beams &
pinned frames
lecture
Pinned F rames 2
Lecture 10
Foundati ons Stru ctures
ARCH 331
F2008abn
Pinned Frames
•structures with at least one 3 force body
•connected with pins
•reactions are equal and opposite
–non-rigid – rigid
Pinned F rames 3
Lecture 10
Foundati ons Stru ctures
ARCH 331
F2008abn
Rigid Frames
•rigid frames have
no pins
•frame is all one
body
•typically statically
indeterminate
•types
–portal
–gable
Pinned F rames 4
Lecture 10
Foundati ons Stru ctures
ARCH 331
F2008abn
Rigid Frames with PINS
•frame pieces with
connecting pins
•not necessarily
symmetrical
pf3
pf4
pf5

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Download Foundations Structures: Pinned Frames, Rigid Frames, Arches, and Continuous Beams - Prof. and more Study notes Architecture in PDF only on Docsity!

Pinned Frames 1Lecture 11 Foundations Structures

ARCH 331

F2008abn

F

OUNDATIONS

S

TRUCTURES

F

ORM,

B

EHAVIOR, AND

D

ESIGN

ARCH 331D

R.

A

NNE

N

ICHOLS

S

PRING 2009

eleven other beams &pinned frames

lecture

Pinned Frames 2Lecture 10 Foundations Structures

ARCH 331

F2008abn

Pinned Frames •

structures with at least one 3 force body

connected with pins

reactions are equal and opposite^ –

non-rigid

– rigid

Pinned Frames 3Lecture 10 Foundations Structures

ARCH 331

F2008abn

Rigid Frames •^

rigid frames haveno pins

•^

frame is all onebody

•^

typically staticallyindeterminate

•^

types^ –

portal

gable

Pinned Frames 4Lecture 10 Foundations Structures

ARCH 331

F2008abn

Rigid Frames with PINS •

frame pieces withconnecting pins

not necessarilysymmetrical

Pinned Frames 5Lecture 10 Foundations Structures

ARCH 331

F2008abn Internal Pin Connections •^ statically determinant^ – 3 equations per body

2 reactions per pin + support forces

B A

C D

G

E^

F

A

x

A

y^

D

Pinned Frames 6Lecture 10 Foundations Structures

ARCH 331

F2008abn Arches • ancient

traditional shape tospan long distances Pinned Frames 7Lecture 10 Foundations Structures

ARCH 331

F2008abn Arches •^ primarily sees compression

-^ a brick “likes an arch” Pinned Frames 8Lecture 10 Foundations Structures

ARCH 331

F2008abn Arches • behavior^ – thrust relatedto height to width

Pinned Frames 13Lecture 10 Foundations Structures

ARCH 331

F2008abn Continuous Beams •^ statically indeterminate

-^ reduced moments than simple beam Pinned Frames 14Lecture 10 Foundations Structures

ARCH 331

F2008abn Continuous Beams • loading pattern affects^ – moments & deflection max Δ Pinned Frames 15Lecture 10 Foundations Structures

ARCH 331

F2008abn Continuous Beams max Δ

-^ unload end span Pinned Frames 16Lecture 10 Foundations Structures

ARCH 331

F2008abn Continuous Beams • unload middle span max Δ

Pinned Frames 17Lecture 10 Foundations Structures

ARCH 331

F2008abn Analysis Methods •^ Approximate Methods^ – location of inflection points

-^ Force Method^ – forces are unknowns -^ Displacement Method^ – displacements are unknowns Pinned Frames 18Lecture 10 Foundations Structures

ARCH 331

F2008abn Two Span Beams & Charts • equal spans & symmetrical loading

middle support as flat slope