Answer 1
To determine the nominal strength of welded connection we are using following formula from AS4100....
Where
D.S.= design strength of the welded connection
B= effective width of the main plate
t= effective throat thickness of weld
fy= smaller of yield strength between weld and parent metal
= factor of saftey=1.25 for workshop weld
=1.5 for field work
given data:
B=25mm
t=20 for full pentration of weld
fy=280 MPa
=1.25 as work in lab.
Then
D.S.= (20*25)*(280/1.25)
D.S.= 112 KN
And
As there is no experimental result is given so we can't predict about these and due to this we can't comment on both result untill we can't get the actual strength of the weld
Again.....fp
Foe partial penetration
t= throat thickness= (7/8)*thickness of plate
=(7/8)*20
=17.5 mm
Then
Design strength of the weld is
D.S.= (25*17.5)*(280/1.25)
D.S.= 98 KN
Answer for 2
mode of failure for bolted connection...
1. Bolt may fail in shear
2. Bolt may fail in bearing
3. If bolt are enough strong then plate may fail in tension.
(Plate will be either main plate or cover plate)
And the tensile strength of the bolted connection is minimum of the above three discussed strength.
Nominal tensile strength of the bolted connection.....
(A)Bolt may fail in shear...
To calculate the strength of plate in shear we use the following formula
S.S. = (nn*An + ns*As)*(fub)/(1.25*√3)
Where
nn= no.of shearing plane in net area= 1
nS=no.of shearing plane in shank area=1
As= shank area of bolt = (π*12*12/4) = 113.097 mm2.
An= net area of bolt = 0.78*As= 0.78*113.097=88.215
fub=ultimate strength of bolt=400 MPa (given)
As there is given to consider any reduction factor
So
S.S. = (1*88.2+1*113.1)*(400)/(1.25*√3)
S.S.= 37.19 KN
(B) Bolt may fail in bearing
bearing strength of the bolted connection is..
B.S.= 2.5*Kb*d*t*Fup/1.25
Where....
Kb=minimum of
1. (end distance)/(3* hole diameter) = (50/3*13)=1.28
2. (Pitch)/(3*dia. Of hole)-0.25= (40/3*13)-0.25 =0.77
3.(Fub/Fup) = 400/440=0.91
4. =1
Then Kb= 0.77
d =dia of bolt 12 mm
d' = dia of hol= 12+1=13 mm(as per code)
t= minimum thickness = 6+6=12 <20
Fup= 440 MPa
Then
B.S. = (2.5*0.77*12*12*440/1.25)
B.S.=97.57 KN
(C) tensile strength of the bolted connection is.....
T.S. = minimum of (1,2)
TS1 = Ag*fy/1.1
TS2 =An*Fup*0.9/1.25
Where
Ag= gross area of plate=20*100=2000
An= net area of plate= 20*(100-2*13) =1480
Fy= yield strength of the plate=320 MPa
Fup= 440
Then
TS1= (20*100*320/1.1)
= 581.81KN
TS2= (1480*440*0.9/1.25)
= 468.86KN
T.S. = minimum of (581.81,468.86)
T.S. =468.86 KN
then final value of tensile strength of the bolted connection is minimum of shear, bearing and tension value
Bolt strength=min.(37.19,97.57,468.86)
Bolt strength= 37.19KN<------- answer
Actual strength can only be find out by experiment which is not available at this time and due to this we can't conclude any conclusions about the connection.
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