Page 263 - Handbook of Structural Steel Connection Design and Details

Welded Joint Design and Production

248 Chapter Three

The resulting maximum shear stresses and are the radii of
1–3 2–3
these two circles, or 35 ksi. The ratio of shear to tensile stress is 0.5.
Figure 3.30 plots this as line B. Notice at a yield point of 55 ksi, the
critical shear value is one-half of this, or 27.5 ksi. When this critical
shear stress is reached, plastic straining or movement takes place
and ductile behavior will result up to the ultimate tensile strength,
here 70 ksi. Figure 3.31 shows a predicated stress-strain curve indi-
cating ample ductility.

B Ductility
30 Critical shear stress τ = 1/2 σ y
Shear stress (τ) ksi 27.5 Simple tensile specimen – no restraint τ = 0.285 σ 3 Brittle failure Tensile strength (σ) ksi
τ = 0.5 σ 3
A
20
Restrained across width and thickness

10

10 20 30 40 50 55 60 70
σ y σ T
Figure 3.30 The ratio of shear to tensile stress. (Courtesy of The Lincoln Electric
Company.)

Brittle
80
A Ductile B
70
60
Analysis for connection
for seismic test load
Stress σ ksi 50 ZB = 501.000 A Lp = 14" B
WF = 11.975
TF = 0.940
TW = 0.825
DB = 35.850
40
W36 × 150
WP = 12.000
TP = 1.000
30 LP = 14.000 LA = 120"
LB = 134.000 V
SIGYB = 54 ksi
EXX = 70 ksi LB = 134"
20
10
0
.05 .1 .15 .2 .25 .3 .35
Strain in / in
Figure 3.31 Stress-strain curve. (Courtesy of The Lincoln Electric Company.)

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