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Company LogoShear Lug Design
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Shear Lug Design.xls Rev. 1 01/23/09
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Project NameVerificationProject No.Prepared ByJWT
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Subject
Shear lug design example
ClientDate01/23/09
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Description
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Shear lug design verification
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Reference Steel Design Guide 1, Base Plate and Anchor Rod Design, Second Edition, Example 4.9 and Steel Design Guide 7, Industrial Buildings, Roofs
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to Anchor Rods, Second Edition, Examples 9.4.2 and 9.4.3
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ColumnPierLug
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Materials and Load
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Concrete compr. strengthf'c= 4 000 psi
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Concrete weight modification factorl=1,0
Assume normal weight concrete
ACI 318 8.6.1
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Reinf. bar yield strengthfyreinf = 60 ksi
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Lug materialLug =A36
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Lug plate yield strengthFylug = 36 ksi
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Factored shear loadVu =36,8 kips
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Geometry
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Notes:
Assume the shear lug is centered on the pier along both width Wa and width Wb
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Reference SDG1 Section 4.9
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Pier width perpendicular to the shear loadWa =20,000 in
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Pier width parallel to the shear loadWb =20,000 in
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Height of pierHpier =36,000 in
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Column base plate thicknesstbp =1,250 in
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Thickness of grout padG =2,000 in
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Length of shear lugL =9,000 in
Perpendicular to the direction of the shear load
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Shear lug depth below the top of pierd =1,500 in
Does not include the thickness of the grout pad
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Thickness of shear lugt =1,250 in
Thickness of column base plate must be >= t
SDG1 3.5
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*** tbp >= t, Check OK
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Distance from edge of shear lug to edge of piera =5,500 in#NAME?
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Distance from face of shear lug and face of pierc =9,375 in#NAME?
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Height of shear lugH =3,500 in= d+G#NAME?
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Concrete Bearing
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Notes:
Reference SDG1 Section 4.9 and SDG7 Section 9.3 and Example 9.4.3
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Bearing strength reduction factorjbg= 0,80 SDG1 3.5.2, ACI 349 D.4.6.2 & D.4.4(f)
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Bearing area of shear lugAlug = 13,50 in2#NAME?
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Factored shear loadVu = 36,80 kips#NAME?
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Design bearing strengthjbgPn= 43,20 kips#NAME?
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Capacity ratioCR = 0,85 #NAME?
*** CR <= 1.0, Check OK
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Concrete Shear
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Notes:
Reference SDG1 Section 4.9 and SDG7 Example 9.4.3
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Shear strength reduction factorσ = 0,75
ACI 318 9.3.2.3
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Depth of shear failure planeb = 10,88 in#NAME?
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Width of shear failure planef = 20,00 in#NAME?
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Minimum Wa and L+(2*c). Assume the failure plane projects from each end of the shear lug at a 45 degree angle toward the face of the pier.
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Projected area of shear failure plane, area of shear lug not includedAv = 204,00 in2#NAME?
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Factored shear loadVu = 36,80 kips#NAME?
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Ultimate shear strengthjsVn= 38,71 kips#NAME?
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Capacity ratioCR = 0,95 #NAME?
*** CR <= 1.0, Check OK
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Shear Lug Plate Bending
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Notes:
Reference SDG1 Example 4.9
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Plate bending strength reduction factorjb= 0,90 SCM F1
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Plastic section modulus of shear lugZy = 3,52 in3#NAME?SCM Table 17-27, Rect. w/ axis thru center
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Factored moment in lugMulug = 101,20 in-kips#NAME?
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Design bending strength of shear lugjbMn= 114,05 in-kips#NAME?
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Required thickness of lugtreqd= 1,18 in#NAME?
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Capacity ratioCR = 0,89 #NAME?
*** CR <= 1.0, Check OK
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Weld of Shear Lug to Base Plate
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Notes:
Assume a continuous fillet weld along the length of the shear lug on both sides
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Reference SDG1 Example 4.9 and SDG7 Example 9.4.3
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Strength reduction factor for fillet weldsjw= 0,75
SCM Table J2.5
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Electrode classification no.Fexx = 70 ksi
SCM Table J2.5
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Thickness of fillet weldtweld =0,375 inGenerally provide fillet welds up to 0.75" before using groove weldsSDG1 2.4
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Dist. c.g weld to c.g. welds =1,500 in#NAME?
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Weld stress due to bendingfc = 7,50 kips/in#NAME?
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Weld stress due to shearfv = 2,04 kips/in#NAME?
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Resultant stress in weldfr = 7,77 kips/in#NAME?
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Design strength of weldjwRn= 8,35 kips/in#NAME?
SCM eq. J2-4 & J2-5
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Capacity ratioCR= 0,93 #NAME?
*** CR <= 1.0, Check OK
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Pier Shear Strength
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Note:
Reference SDG7 Example 9.4.2
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Strength reduction factorσ = 0,75
ACI 318 9.3.2.3
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Clear cover to stirrupCside =1,500 in
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Bar size of vertical pier reinforcingBarvert = 1