The following connection is subject to the tension load. including dead load T_d

Question

The following connection is subject to the tension load. including dead load T_d = 30 kips, live load T_L = 60 kips, and wind load T_w = 55 kips. Determine the weld size, a, and weld length, L, for this connection. Assume fillet welding by using Shield Metal Arc Welding (SMAW) process is used. Electrode is E60 (F_Exx = 60 ksi). The plate dimension is as shown in following. Assume the lager plate is A36 steel (Fy = 36 ksi and Fu = 58 ksi) and smaller plate is Grade steel (Fy = 50 ksi and Fu = 65 ksi).

Explanation / Answer

design load

= 1.2D+1.6Le+0.8W = 1.2*30+1.6*60+0.8*55=176 kips

for 1/2'' plate thickness min size of weld = 5mm

let wild size is 6 mm = 0.236 in

allowable stress= Fy/1.25= 50/1.25 = 40 ksi

allowable stress= P/(te*L')

te = 0.707*weld size= 0.707*0.236= 0.1668

L' =tOTAL LENGT= Pu/(te*allowable stress) = 176/(0.1668*40) =26.37 in

L=L'/2=13.18 in

actual length should provide L+2*WELD SIDE= 13.28+2*0.236=13.65 in= 14 in

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