Pinned Frames 1
Lecture 11
Foundations Structures
ARCH 331
S2009abn
FOUNDATIONS STRUCTURES:
FORM, BEHAVIOR, AND DESIGN
ARCH 331
DR. ANNE NICHOLS
SPRING 2009
eleven
other beams &
pinned frames
lecture
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Foundations Structures: Pinned Frames, Rigid Frames, Arches, and Continuous Beams - Prof. , Study notes of Architecture
A series of lecture notes from a foundations structures course (arch 331) taught by dr. Anne nichols during the spring 2009 semester. The notes cover various topics related to pinned frames, rigid frames, arches, and continuous beams. The form, behavior, and design of these structures, as well as their static and dynamic properties. It also includes information on internal pin connections, arch behavior, and analysis methods.
Typology: Study notes
Pre 2010
1 / 18
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Pinned Frames 1Lecture 11 Foundations Structures
ARCH 331
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 11 Foundations Structures
ARCH 331
Pinned Frames • structures with at least one 3 force body
connected with pins - reactions are equal and opposite - non-rigid - rigid
Pinned Frames 4Lecture 11 Foundations Structures
ARCH 331
Rigid Frames with PINS • frame pieces withconnecting pins
not necessarilysymmetrical
Pinned Frames 5Lecture 11 Foundations Structures
ARCH 331
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 7Lecture 11 Foundations Structures
ARCH 331
Arches • primarily sees compression
a brick “likes an arch”
Pinned Frames 8Lecture 11 Foundations Structures
ARCH 331
Arches • behavior
thrust relatedto height to width
Pinned Frames 10Lecture 11 Foundations Structures
ARCH 331
S2009abn F
F
F
F
not independent Compound Beams • statically determinant when
3 equilibrium equations per link => - total of support & pin reactions (properly constrained) - zero moment at pins R
1x
R
1y
M
R
R
(internal) pin R
2y
R
2y
R
2x
R
2x
Pinned Frames 11Lecture 11 Foundations Structures
ARCH 331
Procedure • solve for all support forces you can
draw a FBD of each member - pins are integral with member - pins with loads should belong to 3+ forcebodies - pin forces are equal and opposite onconnecting bodies - identify 2 force bodies vs. 3+ force bodies - use all equilibrium equations
Pinned Frames 13Lecture 11 Foundations Structures
ARCH 331
Continuous Beams • statically indeterminate
reduced moments than simple beam
Pinned Frames 14Lecture 11 Foundations Structures
ARCH 331
Continuous Beams • loading pattern affects
moments & deflection max Δ
Pinned Frames 16Lecture 11 Foundations Structures
ARCH 331
Continuous Beams • unload middle span max Δ
Pinned Frames 17Lecture 11 Foundations Structures
ARCH 331
Analysis Methods • Approximate Methods
location of inflection points - Force Method - forces are unknowns - Displacement Method - displacements are unknowns