coefficients c for eccentrically loaded weld groups v1.0
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Coefficients C for Eccentrically Loaded Weld GroupsTRANSCRIPT
AISC 13th Edition Manual Table 8-4 through Table 8-11
Coefficients C for Eccentrically Loaded Weld Groups
Choose weld configuration:
kl
l
P
θ
ex=al
P
θ
ex=al
Any equal distances
Special Case, k=0(Load not in plane
of weld group)
l
kl
P
θ
ex=al
kl
l
P
θ
ex=al
kl
l
P
θ
ex=al
xl
kl
l
P
θ
ex=al
xl
kl
l
P
θ
ex=al
xl
yl
kl
l
P
θ
ex=al
xl
yl
kl kl
AISC 13th Edition Manual Table 8-4Coefficients C for Eccentrically Loaded Weld Groups
Input:
3 in
5 in
2.5 in
0 degrees
3/16 in
70 ksi
1.00
1 kips
LRFD
where:
number of sixteenths-of-an-inch in the fillet weld size
characteristic length of weld group, in.
respect to centroid of weld group, in.
weld group coefficient
electrode strength coefficient (1.0 for E70XX electrodes)
Results:
2.42
Available strength of a weld group, ΦRn or Rn/Ω, is determined with
ΦRn = Φ (Φ= 0.75)
Setting ΦRn = P,
(P/Φ) (P/Φ)
0.110 0.184 in
Conclusion:
Since Dmin = 0.11 < 3 (1/16's) and l min = 0.184 < 5 in.,
Weld is adequate!
kl =
l =
ex = al =
θ =
weld size, w =
Fexx =
C1 =
P =
Specs =
P = required force, Pu or Pa, kips
D =
l =
a = ex/l
ex = horizontal component of eccentricity of P with
C =
C1 =
C =
C C1 D l
Dmin = / C C1 l lmin = / C C1 D
Dmin = lmin =
kll
P
θ
ex=al
P
θ
ex=al
Any equal distances
Special Case, k=0(Load not in plane
of weld group)
AISC 13th Edition Manual Table 8-5Coefficients C for Eccentrically Loaded Weld Groups
Input:
4 in
5 in
2.500 in
30 degrees
3/16 in
70 ksi
1.00
100 kips
ASD
where:
number of sixteenths-of-an-inch in the fillet weld size
characteristic length of weld group, in.
respect to centroid of weld group, in.
weld group coefficient
electrode strength coefficient (1.0 for E70XX electrodes)
Results:
1.20
Available strength of a weld group, Rn/Ω, is determined with
Rn/Ω = (1/Ω) (Ω = 2.00)
Setting Rn/Ω = P,
ΩP ΩP
33.348 55.580 in
Conclusion:
Since Dmin = 33.348 > 3 (1/16's)and l min = 55.58 > 5 in.,
Weld is overstressed!
kl =
l =
ex = al =
θ =
weld size, w =
Fexx =
C1 =
P =
Specs =
P = required force, Pu or Pa, kips
D =
l =
a = ex/l
ex = horizontal component of eccentricity of P with
C =
C1 =
C =
C C1 D l
Dmin = / C C1 l lmin = / C C1 D
Dmin = lmin =
l
kl
P
θ
ex=al
AISC 13th Edition Manual Table 8-6Coefficients C for Eccentrically Loaded Weld Groups
Input:
4 in
10 in
2.500 in
30 degrees
3/16 in
70 ksi
1.00
2 kips
ASD
where:
number of sixteenths-of-an-inch in the fillet weld size
characteristic length of weld group, in.
respect to centroid of weld group, in.
weld group coefficient
electrode strength coefficient (1.0 for E70XX electrodes)
Results:
5.19
Available strength of a weld group, Rn/Ω, is determined with
Rn/Ω = (1/Ω) (Ω = 2.00)
Setting Rn/Ω = P,
ΩP ΩP
0.077 0.257 in
Conclusion:
Since Dmin = 0.077 < 3 (1/16's) and l min = 0.257 < 10 in.,
Weld is adequate!
kl =
l =
ex = al =
θ =
weld size, w =
Fexx =
C1 =
P =
Specs =
P = required force, Pu or Pa, kips
D =
l =
a = ex/l
ex = horizontal component of eccentricity of P with
C =
C1 =
C =
C C1 D l
Dmin = / C C1 l lmin = / C C1 D
Dmin = lmin =
kl
l
P
θ
ex=al
AISC 13th Edition Manual Table 8-8Coefficients C for Eccentrically Loaded Weld Groups
Input:
3 in
3 in
0.333
2.276 in
1 degrees
3/16 in
70 ksi
1
3 kips
ASD
where:
number of sixteenths-of-an-inch in the fillet weld size
characteristic length of weld group, in.
respect to centroid of weld group, in.
weld group coefficient
electrode strength coefficient (1.0 for E70XX electrodes)
Results:
0.12
Available strength of a weld group, Rn/Ω, is determined with
Rn/Ω = (1/Ω) (Ω = 2.00)
Setting Rn/Ω = P,
ΩP ΩP
16.877 16.877 in
Conclusion:
Since Dmin = 16.877 > 3 (1/16's)and l min = 16.877 > 3 in.,
Weld is overstressed!
kl =
l =
x =
ex = al =
θ =
weld size, w =
Fexx =
C1 =
P =
Specs =
P = required force, Pu or Pa, kips
D =
l =
a = ex/l
ex = horizontal component of eccentricity of P with
C =
C1 =
C =
C C1 D l
Dmin = / C C1 l lmin = / C C1 D
Dmin = lmin =
kl
l
P
θ
ex=al
xl
AISC 13th Edition Manual Table 8-9Coefficients C for Eccentrically Loaded Weld Groups
Input:
3 in
10 in
0.056
2.500 in
30 degrees
3/16 in
70 ksi
1
100 kips
ASD
where:
number of sixteenths-of-an-inch in the fillet weld size
characteristic length of weld group, in.
respect to centroid of weld group, in.
weld group coefficient
electrode strength coefficient (1.0 for E70XX electrodes)
Results:
3.07
Available strength of a weld group, Rn/Ω, is determined with
Rn/Ω = (1/Ω) (Ω = 2.00)
Setting Rn/Ω = P,
ΩP ΩP
6.519 21.731 in
Conclusion:
Since Dmin = 6.519 > 3 (1/16's) and l min = 21.731 > 10 in.,
Weld is overstressed!
kl =
l =
x =
ex = al =
θ =
weld size, w =
Fexx =
C1 =
P =
Specs =
P = required force, Pu or Pa, kips
D =
l =
a = ex/l
ex = horizontal component of eccentricity of P with
C =
C1 =
C =
C C1 D l
Dmin = / C C1 l lmin = / C C1 D
Dmin = lmin =
kl
l
P
θ
ex=al
xl
AISC 13th Edition Manual Table 8-10Coefficients C for Eccentrically Loaded Weld Groups
Input:
3 in
10 in
0.035
0.385
2.500 in
30 degrees
5/16 in
70 ksi
1.00
100 kips
ASD
where:
number of sixteenths-of-an-inch in the fillet weld size
characteristic length of weld group, in.
respect to centroid of weld group, in.
weld group coefficient
electrode strength coefficient (1.0 for E70XX electrodes)
Results:
2.47
Available strength of a weld group, Rn/Ω, is determined with
Rn/Ω = (1/Ω) (Ω = 2.00)
Setting Rn/Ω = P,
ΩP ΩP
8.109 16.218 in
Conclusion:
Since Dmin = 8.109 > 5 (1/16's) and l min = 16.218 > 10 in.,
Weld is overstressed!
kl =
l =
x =
y =
ex = al =
θ =
weld size, w =
Fexx =
C1 =
P =
Specs =
P = required force, Pu or Pa, kips
D =
l =
a = ex/l
ex = horizontal component of eccentricity of P with
C =
C1 =
C =
C C1 D l
Dmin = / C C1 l lmin = / C C1 D
Dmin = lmin =
kl
l
P
θ
ex=al
xl
yl
AISC 13th Edition Manual Table 8-11Coefficients C for Eccentrically Loaded Weld Groups
Input:
5 in
10 in
0.083
0.333
7.000 in
15 degrees
3/16 in
70 ksi
1.00
100 kips
ASD
where:
number of sixteenths-of-an-inch in the fillet weld size
characteristic length of weld group, in.
respect to centroid of weld group, in.
weld group coefficient
electrode strength coefficient (1.0 for E70XX electrodes)
Results:
1.44
Available strength of a weld group, Rn/Ω, is determined with
Rn/Ω = (1/Ω) (Ω = 2.00)
Setting Rn/Ω = P,
ΩP ΩP
13.895 46.317 in
Conclusion:
Since Dmin = 13.895 > 3 (1/16's)and l min = 46.317 > 10 in.,
Weld is overstressed!
kl =
l =
x =
y =
ex = al =
θ =
weld size, w =
Fexx =
C1 =
P =
Specs =
P = required force, Pu or Pa, kips
D =
l =
a = ex/l
ex = horizontal component of eccentricity of P with
C =
C1 =
C =
C C1 D l
Dmin = / C C1 l lmin = / C C1 D
Dmin = lmin =
kl
l
P
θ
ex=al
xl
yl
