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Factored Reaction (W) Factored Tensile Force On The Plate W/2

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FACTORED REACTION(W) = 500 KN

FACTORED TENSILE FORCE ON THE PLATE W/2 = 250 KN

1 NOMINAL SHEAR CAPACITY OF BOLT :

Vdsb = fub ( nn x Anb+ ns x Asb) x


sqrt3 x ϒmb

specification Grade /classifications yield stress fu , ULTIMATE


fy , tensile stress
N/mm 2
N/mm2
MIN. NOMINAL MIN. NOMINAL
IS 1367 3.6 330 180 190 300
(part 3) 4.6 400 240 240 400
4.8 420 320 340 400
5.6 500 300 300 500
5.8 520 400 420 500
6.8 600 480 480 600
8.8 (D<16mm) 800 660
9.8 900 720
10.9 1040 940
12.9 1220 1100

NOMINAL DIAMETER OF BOLT


BOLT GRADE
ULTIMATE STRENGTH OF BOLT
YIELDING STRENGTHOF BOLT
ULTIMATE STRENGTH OF PLATE
YIELDING STRENGTHOF PLATE
NO. OF SHEAR PLANE WITH THREAD INTERCEPTING SHEAR PLANE
NO. OF SHEAR PLANE WITHOUT THREAD INTERCEPTING SHEAR PLANE
NOMNAL PLANE SHANK AREA OF BOLT = (πd2)/4
NET SHEAR AREA OF BOLT HREAD = 0.78 x(πd2)/4
NUM. OF SHEAR PLANE
Vdsb = 45.272 KN

2 BEARING CAPACITY OF BOLT :

Vdpb = 2.5 x Kb x d x t
ϒmb

DIAMETER d = 20
GROSS AREA do = 22
SUM OF CONNECTED PLATES THICKNESS t = 16
EDGE DISTANCE e = 30
PITCH DISTANCE p = 50

i) e/3do = 0.454545
ii) p/3do - 0.25 = 0.507576
iii) fub/fu = 0.97561
iv) = 1
kb is minimum of above BOLT VALUE =
kb = 0.45454545 NO OF BOLT =
SAY =
Vdpb = 116.364 KN

3 TENSILE STRENGTH :

Tdb= Tnb/ϒmb
Tnb= 0.9*fu*An < fyb*Asb*(ϒmb/ϒm0)

NET EFFECTIVE AREA An =


Tdb =
=

4 DESIGN STRENGTH OF YIELDING OF GROSS SECTION (PLATE)

Tdg = (Ag*fy/ϒm0)

WIDTH OF PLATE b = 200 mm


THICKNESS OF PLATE t = 8 mm
AREA OF PLATE Ag = 1600 mm2

Tdg = 363.6363636 KN

5 RUPTURE OF CRITICAL SECTION

Tdn = (0.9*fu*An)/ϒml

NET EFFECTIVE AREA An = 54.4


Tdn = 16058.88
6 APPROX. NO. OF BOLT n = SQRT(6M/n1pVsd)
ECCENTRIICITY e = 300 mm
MOMENT OF CONNECTION DUE TO FACTORED LOAD M = 75000 KN-mm
NO. OF VERTICAL ROWS OF BOLTS (ASSUMED) n1 = 2
PITCH OF VERTICAL BOLTS p = 50
EDGE DISTANCE e = 30
DESIGN STRENGTH OF BOLT Vsd = 45.272 (min. Of shear, bearing & tear)
n = 9.9698665
SAY = 10 (PER ROW)
7 ECCENTRIC BOLTED CONNETIONS

i) RESISTANCE AGAINST TRANSLATION = P/n

FACTORED LOAD = 250 KN


NO. OF BOLTS ON ONE BRACKET = 20
P/n = 12.5 KN

ii) WITH RESPECT TO CENTROID

HORIZONTAL DISTANCE OF PARTICULAR BOLT TO CENTROID = 90


VERTICAL DISTANCE OF PARTICULAR BOLT TO CENTRIOD = 360

∑x2+∑y2 = 4 mm2

K= P*e
∑x2+∑y2

= 18.75 KN/mm
SAY = 19 KN/mm
RESISTING FORCE AGAINST ROTATION
Sa = K*ra
= 19 * ra

TOTAL VERTICAL COMPONET ON BOLT V= P + K*ra sinϴ


n
= 14.21 KN

TOTAL HORIZONTAL COMPONET ON BOLT H = Sa * cosϴ


= 6.84 KN

RESULTANT = 15.77053265 N

CHECK FOR STRENGTH :


DEPTH OF PLATE h= 510 mm
NEUTRAL AXIS h/7 = 72.857 mm
TOTAL TENSION EXERTED BY BOLTS
DISTANCE OF NEAREST BOLT OF NEUTRAL AXIS
∑y = 7.143 + 57.143 + 107.143 + 157.143 + 207.143 + 257.143 +
∑y2 = 51.02041 + 3265.306 + 11479.592 + 24693.87755 + 42908.163 + 66122.45 +

K = P * e
∑y2 + (2h/21) * ∑y

= 0.059834905

Tmax = K*Ymax = 24361.354 N


Vb = P/n = 1250000 N

check : 2 2

Vb + Tmax < 1
Vdb Tdb

= 762.422696

hence connecti
(CLAUSE.10.3.3 IS 800:2007)
PAGE 75
REDUCTION FACTOR

Properties
Elongation
percentage (min)

24
22
14
20
10
80
12
10
9
8

UNITS
d = 20 mm
= 4.6
fub = 400 N/mm2
fyb = 240 N/mm2
fu = 410 N/mm2
fy = 250 N/mm2
nn = 1
ns = 0
Asb = 314.1593 mm2
Anb = 245.0442 mm2
= 1

(CLAUSE.10.3.4 IS 800:2007)
PAGE 75

mm
mm
mm
mm
mm

45.27243 KN
5.522124
6

(CLAUSE.10.3.4 IS 800:2007)
PAGE 76
(CLAUSE.6.3.1 IS 800:2007)
PAGE 32

245.0442
70572.74 < 85679.8
SATISFIED
. Of shear, bearing & tear)
307.143 + 357.143 + 407.143 = 3728.571 mm
94336.73 + 127551 + 165765.3 = 1072347 mm
Ymax = 407.143

Tdb = 88215.92
Vdb = 45272.43

= 0
< 1
hence connection is SAFE

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