Manifold Design Calculations 512u1j
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Design calculation to prove pressure handling capability of ‘3 VALVE MANIFOLD’ (DRAWING # 3VM-8-SS-T) The 3 valve manifold assembly consists of the following major parts (Refer detailed drawing No 3VM-SS-8-T/4 ) 1. 2. 3. 4. 5. 6. 7. 8.
Gland Retainer Gland Body Spindle Lock Nut Retainer Washer Packing Gland Washer Packing - Teflon
Pressure withstand capacity required of manifold = 10,000 psi = 10,000 psi / 2.2 x 2.54 x 2.54 = 704 Kg/cm2 (1 Kgs = 2.2 lbs; 1 inch = 2.54 cm) The vee-tip of the spindle closes an orifice of diameter 4mm = 0.4cm = do
Π
Π 2
4
do =
4
(0.4)2 = 0.1256 cm2
Area of orifice hole =
Force on spindle required to withstood at 10000 Psi when the valve is in closed condition
= pressure x area = 704 kg/cm2 x 0.1256 cm2 = 88.42 kg. Pressure withstanding capability shall be checked at the following threaded ts: 1. Spindle to gland retainer threading. 2. Gland Retainer to gland Body threading. 3. Gland body to main body threading. 1) Pressure withstand capability calculation for spindle to gland retainer threading : Thread type M8; Thread pitch = 1.25mm = 0.125cm = t1 Thread length = 2.0mm No of threads = threading length / pitch
= 20/1.25 = 16 Minimum root diameter of threading = 6.647mm = 0.6647cm = d1 Tensile / shear strength for material of Spindle is SS316 is 84 ksi = 84000 psi =
84000 = 5918 kg/cm2 = T 2.2 x 2.54 x 2.54
(1 kg = 2.2 lbs; 1 inch = 2.54 cm) Shear withstand area of each thread = Πd1 x t1
= 3.14 x 0.6647 x 0.125 = 0.26 cm2
Shear withstand area of 16 threads
= 0.26 x 16 = 4.16 cm2 = A1 Shear withstand force capability threaded spindle
= T x A1 = 5918 x 4.16 = 24618 Kgs Factor of safety = Shear withstand force capability Shear withstand force required
=
24618 = 278.42 88.42
Thus the spindle of gland retainer threading is adequately rated for pressure capability required.
2) Pressure withstand capability calculation for Gland retainer to gland body threading : Thread type M16; Thread pitch = 1.5mm, = 0.15cm. = t2 Threading length = 29mm No threads = 29/1.5 = 19.33 = 19 threads Minimum root diameter of threading = 14.376mm = 1.4376 cm = d2 Tensile shear strength of SS316 material = T = 5918 kg/cm2
Shear withstand area of each thread = Π d2 t2 = 3.14 x 1.4376 x 0.15 = 0.677 cm2 Shear withstand area of 10 threads = 19 x 0.677 = 12.863 cm2.= A2
Shear withstand force capability of above threaded t = T X A2 = 5918 x 12.863 = 76123 Kg Factor of Safety = 76123 = 860 88.42 Thus, this threaded t is also adequately rated for pressure capability required.
3) Pressure withstand capability calculation for body threading :
gland body to main
Thread type M18; Thread pitch = 1.5mm = 0.15cm = t3 Threading length = 7.5mm No of threads = 7.5mm / 1.5mm = 5 threads Minimum root diameter of threading = 16.376mm = 1.6376 cm = d3 Tensile shear strength of SS316 Material = T = 5918 Kg/cm2 Shear withstand area of each thread = Π d3 t3 = 3.14 x 1.6376 x 0.15
= 0.77 cm2.
Shear withstand area of 5 threads = 5 x 0.77 = 3.85 cm2. = A3 Shear withstand force capability of above threaded t = T x A3 = 5918 X 3.85 = 22784 Kg Factor of safety = 22785 / 88.42 = 257.67 Thus, this threaded t is also adequately rated for the pressure capability required.
Pressure withstanding capability shall also be checked at 4) Section A-A which is the weakest section area in the gland retainer. ( Refer Drawing No 3VM-8-SS-T/2-1 ) 5) Section B-B which is the weakest section area in the gland body ( Refer Drawing no 3VM-8SS-T/2- 2 )
4. Pressure withstand capability calculation for section A-A of gland retainer ( Drawing no 3VM-SS-8-T/2 1)
D0 = 14.376 mm = 1.4376 cm Di = 8 mm = 0.8 cm Tensile withstand area of this section = Π ( D02 – Di2 ) 4 = Π ( 1.43762 – 0.82 ) 4 = 3.14 ( 2.066 – 0.64) 4 = 1.119 cm2 = A4 Tensile shear strength of SS316 Material = T = 5918 Kg/cm2 Tensile withstand force capability of this section = T x A4 = 5918 X 1.119 = 6622 Kg Factor of safety = Force withstand capability available Force withstand capability required
=
6622 88.42
=
74.89
Thus, this section is adequately rated for pressure capability required.
5. Pressure withstands capability calculation for section B-B of gland body (Refer. Drawing 3VM-8-SS-T/2. ) Tensile withstand area of this section D0 = 16.376 mm = 1.6376 cm Di = 10.1 mm = 1.01 cm = Π ( D02 – Di2 ) 4 = Π ( 1.63762 – 1.012 ) 4 = 3.14 ( 2.682 – 1.02) 4
= 1.3 cm2 = A5
Tensile shear strength of SS316 material = T = 5918 Kg/cm2 Tensile withstand force capability of this section = T x A5 = 5918 x 1.3 = 7693.40 Kg Factor of Safety = 7693.40 = 87.00 88.42 Thus, this section is adequately rated for the pressure capability required. Summary: The weakest possible points of 3 – Valve manifold assembly have been found to be adequately rated to withstand a pressure 10,000 psi. The forged steel body sections (Drawing # 3VM-8-SS-T/1) are even more rated to withstand the pressure capable and hence not checked.
Gland Retainer Gland Body Spindle Lock Nut Retainer Washer Packing Gland Washer Packing - Teflon
Pressure withstand capacity required of manifold = 10,000 psi = 10,000 psi / 2.2 x 2.54 x 2.54 = 704 Kg/cm2 (1 Kgs = 2.2 lbs; 1 inch = 2.54 cm) The vee-tip of the spindle closes an orifice of diameter 4mm = 0.4cm = do
Π
Π 2
4
do =
4
(0.4)2 = 0.1256 cm2
Area of orifice hole =
Force on spindle required to withstood at 10000 Psi when the valve is in closed condition
= pressure x area = 704 kg/cm2 x 0.1256 cm2 = 88.42 kg. Pressure withstanding capability shall be checked at the following threaded ts: 1. Spindle to gland retainer threading. 2. Gland Retainer to gland Body threading. 3. Gland body to main body threading. 1) Pressure withstand capability calculation for spindle to gland retainer threading : Thread type M8; Thread pitch = 1.25mm = 0.125cm = t1 Thread length = 2.0mm No of threads = threading length / pitch
= 20/1.25 = 16 Minimum root diameter of threading = 6.647mm = 0.6647cm = d1 Tensile / shear strength for material of Spindle is SS316 is 84 ksi = 84000 psi =
84000 = 5918 kg/cm2 = T 2.2 x 2.54 x 2.54
(1 kg = 2.2 lbs; 1 inch = 2.54 cm) Shear withstand area of each thread = Πd1 x t1
= 3.14 x 0.6647 x 0.125 = 0.26 cm2
Shear withstand area of 16 threads
= 0.26 x 16 = 4.16 cm2 = A1 Shear withstand force capability threaded spindle
= T x A1 = 5918 x 4.16 = 24618 Kgs Factor of safety = Shear withstand force capability Shear withstand force required
=
24618 = 278.42 88.42
Thus the spindle of gland retainer threading is adequately rated for pressure capability required.
2) Pressure withstand capability calculation for Gland retainer to gland body threading : Thread type M16; Thread pitch = 1.5mm, = 0.15cm. = t2 Threading length = 29mm No threads = 29/1.5 = 19.33 = 19 threads Minimum root diameter of threading = 14.376mm = 1.4376 cm = d2 Tensile shear strength of SS316 material = T = 5918 kg/cm2
Shear withstand area of each thread = Π d2 t2 = 3.14 x 1.4376 x 0.15 = 0.677 cm2 Shear withstand area of 10 threads = 19 x 0.677 = 12.863 cm2.= A2
Shear withstand force capability of above threaded t = T X A2 = 5918 x 12.863 = 76123 Kg Factor of Safety = 76123 = 860 88.42 Thus, this threaded t is also adequately rated for pressure capability required.
3) Pressure withstand capability calculation for body threading :
gland body to main
Thread type M18; Thread pitch = 1.5mm = 0.15cm = t3 Threading length = 7.5mm No of threads = 7.5mm / 1.5mm = 5 threads Minimum root diameter of threading = 16.376mm = 1.6376 cm = d3 Tensile shear strength of SS316 Material = T = 5918 Kg/cm2 Shear withstand area of each thread = Π d3 t3 = 3.14 x 1.6376 x 0.15
= 0.77 cm2.
Shear withstand area of 5 threads = 5 x 0.77 = 3.85 cm2. = A3 Shear withstand force capability of above threaded t = T x A3 = 5918 X 3.85 = 22784 Kg Factor of safety = 22785 / 88.42 = 257.67 Thus, this threaded t is also adequately rated for the pressure capability required.
Pressure withstanding capability shall also be checked at 4) Section A-A which is the weakest section area in the gland retainer. ( Refer Drawing No 3VM-8-SS-T/2-1 ) 5) Section B-B which is the weakest section area in the gland body ( Refer Drawing no 3VM-8SS-T/2- 2 )
4. Pressure withstand capability calculation for section A-A of gland retainer ( Drawing no 3VM-SS-8-T/2 1)
D0 = 14.376 mm = 1.4376 cm Di = 8 mm = 0.8 cm Tensile withstand area of this section = Π ( D02 – Di2 ) 4 = Π ( 1.43762 – 0.82 ) 4 = 3.14 ( 2.066 – 0.64) 4 = 1.119 cm2 = A4 Tensile shear strength of SS316 Material = T = 5918 Kg/cm2 Tensile withstand force capability of this section = T x A4 = 5918 X 1.119 = 6622 Kg Factor of safety = Force withstand capability available Force withstand capability required
=
6622 88.42
=
74.89
Thus, this section is adequately rated for pressure capability required.
5. Pressure withstands capability calculation for section B-B of gland body (Refer. Drawing 3VM-8-SS-T/2. ) Tensile withstand area of this section D0 = 16.376 mm = 1.6376 cm Di = 10.1 mm = 1.01 cm = Π ( D02 – Di2 ) 4 = Π ( 1.63762 – 1.012 ) 4 = 3.14 ( 2.682 – 1.02) 4
= 1.3 cm2 = A5
Tensile shear strength of SS316 material = T = 5918 Kg/cm2 Tensile withstand force capability of this section = T x A5 = 5918 x 1.3 = 7693.40 Kg Factor of Safety = 7693.40 = 87.00 88.42 Thus, this section is adequately rated for the pressure capability required. Summary: The weakest possible points of 3 – Valve manifold assembly have been found to be adequately rated to withstand a pressure 10,000 psi. The forged steel body sections (Drawing # 3VM-8-SS-T/1) are even more rated to withstand the pressure capable and hence not checked.
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