1 F2012abn APPLIED ARCHITECTURAL STRUCTURES: STRUCTURAL ANALYSIS AND SYSTEMS ARCH 631 DR. ANNE NICHOLS FALL 2015 seventeen connections Connections 1 Lecture 17 Applied Architectural Structures ARCH 631 lecture Connections 2 Lecture 17 Architectural Structures III ARCH 631 F2007abn Connection Design Considerations • joints often critical in design – can influence choice of structural system • types used influenced by: – member behavior – member geometry • basic types join by: – lapping – deforming and interlocking – butting Connections 3 Lecture 17 Architectural Structures III ARCH 631 F2007abn Connectors • “third-elements” – bolts – nails – welds – splice plates • transfer load at a point, line or surface – generally more than a point due to stresses Connections 4 Lecture 17 Architectural Structures III ARCH 631 F2007abn Connector Rigidity • pinned joints – point type • rigid joints – line and surface types – multiple “points” separated by distance resist moment Cd Td M = = C T =
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1
F2012abn
APPLIED ARCHITECTURAL STRUCTURES:
STRUCTURAL ANALYSIS AND SYSTEMS
ARCH 631
DR. ANNE NICHOLS
FALL 2015
seventeen
connections Connections 1Lecture 17
Applied Architectural StructuresARCH 631
lecture
Connections 2
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Connection Design Considerations
• joints often critical in design– can influence choice of structural system
• types used influenced by:
– member behavior
– member geometry
• basic types join by:
– lapping
– deforming and interlocking
– butting
Connections 3
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Connectors
• “third-elements”
– bolts
– nails
– welds
– splice plates
• transfer load at a point, line or surface
– generally more than a point due to stresses
Connections 4
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Connector Rigidity
• pinned joints
– point type
• rigid joints
– line and surface types
– multiple “points”
separated by
distance resist
moment
CdTdM ==CT =
2
Connections 5
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
• connected members in tension cause shear stress
• connected members in
compression cause bearing stress
Point Connectors
Connections 6
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
• seen when 2 members are connected
Single Shear
4
2dv
P
A
Pf
π==
Connections 7
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
• seen when 3 members are connected
Double Shear
4
2
22
2 dv
P
A
P
A
Pf
π===
)2
(20 PPF +−==Σ
Connections 8
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
• compression & contact
• projected area
Bearing Stress
td
P
A
Pf
projected
p ==
F=
3
Connections 9
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Beam Stresses
• shear – horizontal & vertical
Connections 10
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Beam Stresses
• shear – horizontal & vertical
Connections 11
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
• plates with
– nails
– rivets
– bolts
• splices
• V from beam loadrelated to Vlongitudinal
Connectors Resisting Beam Shear
x
y
ya
4”
2”
2”
12”
8” p
p p
4.43”
I
VQ
p
V allongitudin=
pI
VQnF
areaconnected
connector ⋅≥
Connections 12
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Vertical Connectors
• isolate an area with vertical interfaces
pI
VQnF
areaconnected
connector ⋅≥
p p
p
4
Connections 13
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Tension Members
• members with holes have reduced area
• increased tension stress
• Ae is effective net area
=
ee
tA
Tor
A
Pf
Connections 14
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Effective Net Area
• likely path to “rip” across
• bolts divide transferred force too
F2012abn
Wood Connectors
• adhesives
– used in a controlled environment
– can be used with nails
• mechanical
– nails
– bolts
– lag bolts or lag screws
– split ring and
shear plate connectors
– timber rivetsConnections 15Lecture 17
Applied Architectural StructuresARCH 631
F2012abn
Wood Connections
• mechanical
Connections 16Lecture 17
Applied Architectural StructuresARCH 631
5
Connections 17
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Nails
• tension stress (pullout)
• shear stress
• nails presumed to share load by
distance from centroid of nail pattern
Connections 18
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Bolts
• bearing stress
– parallel to grain
– perpendicular to grain
• shear stress
• tension stress in member
• concerned with end shear rupture
Connections 19
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Lag Screws
• tension stress (pullout)
– avoid parallel to grain
• shear stress
Connections 20
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Split Ring Connectors
• bearing stress
– parallel to grain
– perpendicular to grain
• shear stress
• tension stress in member
• concerned with end shear rupture
• (like bolts)
6
Connections 21
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Plate Connections
• rigid
– bolts or nails
– plate
– continuous at top & bottom
• shear
– metal plate with teeth
Connections 22
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Miscellaneous Connectors
• beam hangers
• frame anchors
• seats
• etc…
Connections 23
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Steel Connections
• needed to:– support beams by columns
– connect truss members
– splice beams or columns
• transfer load
• subjected to
– tension or compression
– shear
– bending
F2008abnConnections 24
Lecture 18
Architectural Structures III
ARCH 631
Bolts
• bolted steel connections
http://courses.civil.ualberta.ca
(AISC - Steel Structures of the Everyday)
7
Connections 25
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Welds
• welded steel connections
Connections 26
Lecture 17
Architectural Structures III
ARCH 631
F2007abn
Bolted Connection Design
• considerations
– bearing stress
• yielding
– shear stress
• single & double
– member
• rupture
F2007abnConnections 27Lecture 17
Architectural Structures IIIARCH 631
Bolts
• types
– materials
• high strength
– location of threads
• included
• excluded
– friction or bearing
• always tightened
Su2011abn
Bolted Connection Design
• Unified steel
– shear:
• bolt strengths
– bolt types
• A325-SC, A490-SC
• A325-N, A490-N
• A325-X, A490-XConnections 28Lecture 17
Architectural Structures IIIARCH 631
Ω≤ n
a
RR
nvu RR φ≤
750.v =φ002.=Ω
8
F2012abn
Bolted Connection Design
Connections 29Lecture 17
Applied Architectural StructuresARCH 631
• Unified steel
– bearing:
• bolts rarely
fail by bearing
• other part fails first
– slip critical
• tightened down
– holes are 1/16” larger
– effective hole widths
are 1/8” more
Su2011abn
Bolted Connection Design
• single shear or tension
• double shear
• bolt area
– threads excluded
– threads included
Connections 30Lecture 17
Architectural Structures IIIARCH 631
bnn AFR = 750.=φ
bnn AFR 2=
nu RR φ≤
Su2011abn
Bolted Connection Design
• bearing at bolt holes
– deformation is concern
– deformation isn’t concern
– long slotted holes
Lc – clear length to edge or next hole
Connections 31Lecture 17
Architectural Structures IIIARCH 631
750.=φ
uucn dtF.tFL.R 4221 ≤=
nu RR φ≤
uucn dtF.tFL.R 0351 ≤=
uucn dtF.tFL.R 0201 ≤=
Su2011abn
Tension Members
• Ae = AnU
– An is actual net area
– U is shear lag factor by element type
Connections 32Lecture 17
Architectural Structures IIIARCH 631
g
stAAA holesallofgn
4Σ+−=
9
Su2011abn
Tension Members
• limit states for failure
1. yielding
2. rupture*
Ag - gross area
Ae - effective net area
Fu = the tensile strength
of the steel (ultimate)
Connections 33Lecture 17
Architectural Structures IIIARCH 631
nu RR φ≤
gyn AFR. == 90φ
eun AFR. == 750φ
Connections 34Lecture 17
Architectural Structures IIIARCH 631
F2007abn
Welded Connection Design
• considerations
– shear stress
– yielding
– rupture
Connections 35Lecture 17
Architectural Structures IIIARCH 631
F2007abn
Welded Connection Design
• weld terms
– butt weld
– fillet weld
– plug weld
– throat
• weld materials
– E60XX
– E70XX
FEXX = 70 ksi
Su2011abn
Welded Connection Design
• shear failure assumed
• throat
– T =0.707 x weld size
• area
– A = T x length of weld
• weld metal generally stronger than base metal (ex. Fy = 50 ksi)