REDUCTION CALCULATION

6b8cc572-2693-4b8d-b2e9-d33e5ac05d97 128 REDUCTION CALCULATION AUTHOR NAME OF PROJECT PENSTOCK 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

<p fontName="Arial">Material and Thickness Selection</p>

CC S235JR 235225215215215195185175175360360350340340 S235J0 235225215215215195185175175360360350340340 S235J2 235225215215215195185175165360360350340330 S275JR 275265255245235225215205205430410400380380 S275J0 275265255245235225215205205430410400380380 S275J2 275265255245235225215205195430410400380380 S355JR 355345335325315295285275275510470450450450 S355J0 355345335325315295285275275510470450450440 S355J2 355345335325315295285275265510470450450450 S355JK 355345335325315295285275265510470450450450 S450J0 45043041039038038038038038005505305305301115 mat :

"S235JR"
"S235J0"
"S235J2"
"S275JR"
"S275J0"
"S275J2"
"S355JR"
"S355J0"
"S355J2"
"S355JK"
"S450J0"

tax

tay 2 e.a 16 mm * ≤ 3 e.a 40 mm * ≤ 4 e.a 63 mm * ≤ 5 e.a 80 mm * ≤ 6 e.a 100 mm * ≤ 7 e.a 150 mm * ≤ 8 e.a 200 mm * ≤ 9 e.a 250 mm * ≤ 10 cases :

uay 11 e.a 3 mm * < 12 e.a 100 mm * ≤ 13 e.a 150 mm * ≤ 14 e.a 250 mm * ≤ 15 cases :

Plate Thickness e.d 12 mm * :

Corrosion c 2 mm * :

e.a e.d c - :

σ.y CC tax tay el MPa * : MPa 235

σ.u CC tax uay el MPa * : MPa 360

REDUCTION WITHOUT KNUCKLE CALCULATIONS

DESIGN PARAMETERS

Material ................. : CC tax 1 el S235JR

Tensile Strength ......... : σ.u MPa 360

Yield Strength ........... : σ.y MPa 235

Safety Factor ............ : S 1.5 :

Design Strength .......... : f σ.y S / : MPa 156.667

Inside Pressure .......... : P.i 8 bar * :

Outside Pressure ......... : P.e 2 bar * :

Welding  Factor .......... : z 0.85 :

Corrosion Allowance ...... : c mm 2

REDUCTION DIMENSIONS

Inlet Inside Diameter .... : D.i 2900 mm * :

Outlet Inside Diameter ... : D.o 1800 mm * :

Reduction Length ......... : L 3000 mm * :

Plate Thickness .......... : e.d mm 12

Plate Thickness Calculation

Cone Thickness

e.a e.d c - : mm 10

α D.i D.o - 2 L * / atan : ° 10.3889

e.cyl P.i D.i * 2 f * z * P.i - / : mm 8.74

e.con P.i D.i * 2 f * z * P.i - / 1 α cos / * : mm 8.88

e.min_cyl e.cyl c + : mm 10.74

σ.a P.i D.i * 2 α cos * e.a (* z * / : MPa 138.75

e.min e.con c + : mm 10.88

Sanity Checks

e.con e.a < 1

σ.a f < 1

α 75 ° * ≤ 1

e.a α cos * D.c D.i e.a + : (/ 0.001 ≥ 1

e.con e.a < Safe Fail if e.con e.a < DarkGreen White if e.con e.a < White Red if WhiteFrame 1 4 mat σ.a f < Safe Fail if σ.a f < DarkGreen White if σ.a f < White Red if WhiteFrame 1 4 mat α 75 ° * ≤ Check Fail if α 75 ° * ≤ DarkGreen White if α 75 ° * ≤ White Red if WhiteFrame 1 4 mat e.a α cos * D.c / 0.001 ≥ Check Fail if e.a α cos * D.c / 0.001 ≥ DarkGreen White if e.a α cos * D.c / 0.001 ≥ White Red if WhiteFrame 1 4 mat

Joint without Knuckle Calculations

β 13 / D.c e.j / sqrt * α tan 11 α cos sqrt / + / * 0.15 - :

e.j P.i D.c * β * 2 f * / :

<p fontName="Arial">beta iteration</p>

x y f.Δ y x - x / abs : e.j e.con : Δ 1 : Δ 0.00001 > D.c D.i e.j + : e.temp e.j : β 13 / D.c e.j / sqrt * α tan 11 α cos sqrt / + / * 0.15 - : e.j P.i D.c * β * 2 f * / : Δ e.j e.temp f.Δ : 51 line while 41 line

P.i f / 0.0051

α ° 10.39

β 0.6168

e.j mm 4.57

e.1 e.cyl e.j Max c + : mm 10.74

e.2 e.con e.j Max c + : mm 10.88

D.c D.i e.1 + :

l.1 D.c e.1 * sqrt : mm 176.79

----->

l.1 1.4 * mm 247.5

D.c D.i e.2 + :

l.2 D.c e.2 * α cos / sqrt : mm 179.46

----->

l.2 1.4 * mm 251.25

NAME OF PROJECT PENSTOCK

REDUCTION CALCULATION

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