Tube Bending Calculations

2
PIPE FABRICATION STANDARD PIPE BENDS Each bend should be checked for availability of pipe in the required over-all leugth, arrd to determine that over-all dimensions are rvithin the limits of transporta- tion facilities. 6 EVELOPED LENGTH = I.571 R No, I QUARTER BEND-9Oo DEVELOPED LENGTH = ANGLE (in degrees) x R x 0.01745 No. rj BEND - 46'T0 89' SINGLE OFFSET OUARTER BENO l*+o3o3R Et(b.,os' Euffl\ DEVELOPED LENGTH = 0.785R 0.828 R I DEVELOPED LENGTH = 2 x DEVELOPED LENGTH oF NO. 5 BEND No.4 CROSSOVER EENO DEVELOPED LENGTH = 6.283 R No 8 DOUBLE OFFSET U BEND FOR DIMENSIONS . SEE NEXT PAGE No.5 OFFSET BEND DEVELOPED LENGTH = 6.283R + 2X No.9 EXPANSION U BEND (tHEtX|slFooTonlE3i) o s No. 2 DEVELOPED LENGTH = 6.12?B No.6 SINGLE OFFSET U BEND rn L(/.m DDVELOP LENGTH = 3.142R No.7 U- BENo- lSOo 1l 1 DA'AP I F ---- - 'j DEVELOPED LENGTH = 9.425R No. lO DOUBLE OFFSET EXPANSION 8€N0 No. 3 45' BEND DEVELOPED LENGTH - ANCLE (hdegrees)xRx0.01745 N0. 3tBENo -LESs THAN 45. DEVELOPED LENGTH = ANGLE (indegrees)x8x0.0U45 No.7i BEND- gfro t79' n A .z,z:\ PIPE DIAMETER No. ll CIRCLE BENO 143

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PIPE FABRICATION

STANDARD PIPE BENDSEach bend should be checked for availability of pipe

in the required over-all leugth, arrd to determine thatover-all dimensions are rvithin the limits of transporta-tion facilities.

6EVELOPED LENGTH = I.571 R

No, I QUARTER BEND-9Oo

DEVELOPED LENGTH = ANGLE(in degrees) x R x 0.01745

No. rj BEND - 46'T0 89'

SINGLE OFFSET OUARTER BENO

l*+o3o3R

Et(b.,os'Euffl\DEVELOPED LENGTH = 0.785R

0.828 R I

DEVELOPED LENGTH =2 x DEVELOPED LENGTH oF NO. 5 BEND

No.4 CROSSOVER EENO

DEVELOPED LENGTH = 6.283 R

No 8 DOUBLE OFFSET U BEND

FOR DIMENSIONS . SEE NEXT PAGE

No.5 OFFSET BEND

DEVELOPED LENGTH = 6.283R + 2X

No.9 EXPANSION U BEND(tHEtX|slFooTonlE3i)

o

s

No. 2

DEVELOPED LENGTH = 6.12?B

No.6 SINGLE OFFSET U BEND

rnL(/.mDDVELOP LENGTH = 3.142R

No.7 U- BENo- lSOo

1l1 DA'AP

I

F ---- - 'jDEVELOPED LENGTH = 9.425R

No. lO DOUBLE OFFSET EXPANSION 8€N0

No. 3 45' BEND

DEVELOPED LENGTH - ANCLE(hdegrees)xRx0.01745

N0. 3tBENo -LESs THAN 45.

DEVELOPED LENGTH = ANGLE(indegrees)x8x0.0U45

No.7i BEND- gfro t79'

n

A

.z,z:\

PIPE DIAMETERNo. ll CIRCLE BENO

143

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ITT GRINNELL- PIPING DESIGN AND ENGINEERING

CAI,CIJLATION OI'

@iuen: R arrd a.

To rt,ntl: T and. arc.

T: R Lan!2

Arc : Angle (in degrees)

x R x 0.01745

PIPE BENDS

Giam: L, O and R.

n>oTo f.nd; AB, e, T

and arc.

CD:R_O

AB : \/CDr}:Tt --n,

L : \/-AC2- BCa : BC tan <,

Arc: Angle (in degrees) XnX0.0l?4b

la: ZACD - IACB

tr'or? and arc

seefirst calculatron.It R<O then CD:O-E and a:180o-

( I AC D + I AC B) . Other values remain the same.

Qium: R1, R2,

and O.

To f,nd.: L, a, arq,and arc2.

BC:Rt+R2-O

AC:h+nz.BC

cr: COS-' ,n

Arcl :41"1" (in degrees) Xlilx 0,01745

Arc2 :4tr"1" (in degrees) XRrX 0.01?45

@iren: Ry 8.2, L and, O.

O1ff:'*Rz'

To f,nd; a, X and arc.

BC-Rt+n2-O

tc : lP-+ cz

IACB : tao-t#

e : IACB - IACD IACD : stn-l

AD: x:'VAe - Ai+E*Arcr: 4nt1" (in degrees) XArX 0.01746

Arc2: 41"1" (in degrees) XErX 0.01746

If O> al +R2 BC:O-(fu*82), and c=180' - ( IACB + IACD). Other values remain the

same.

,/ AAD : +^.-1 LCD

L: \/TC' - Be: BCtano

IACB : tan-'ffOipen: R and O,

To find: L, a and arc.

BC:2R -O AC :2R,.BCa: cos-' 7

Giuen: R, O and, L.o <2R

Tofind: a,X and arc.

BC:2R-OAD :2R

: \8,+ BC,=ZA,

ICAB : tao-'Bf

BCoiS.t:

t

^oosP:t

cc:90"-(tDAC+ICAB)Arc:Angle (in degrees) XAX0.01?45

It O>2n then BC:O-2R, and a:90"-IDAC + ICAB. Other values remain the sa,me.

Qium: O, A a;;.d B

To find,: L, a and P

E:\/ETTL: \/E +T -A

ar

No. 5 OFFSET BEND

t44