Welcome to the Spreadsheet for Linear Buckling Analysis of Stiffened Plate Panels (as per DNV RP-C-201)

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www.thenavalarch.com Welcome to the Spreadsheet for Linear Buckling Analysis of Stiffened Plate Panels (as per DNV RP-C-201) What does this spreadsheet do? Performs linear buckling analysis of stiffened plate panels according to Part-1 of DNV-RP-C201 Also performs yield check for laterally loaded panels (Sec. 5 of RP-C201) and using von-mises stress criteria (DNV-OS-C-101) Valid for stiffened plate panels with continuous stiffeners Valid for L and T sections (Bulb sections need to be converted to equivalent angle sections) How to use this Excel Sheet The user is asked for some inputs for the Panel Stiffener geometry, material and loads. The Input cells are highlighted in blue in the Worksheet "Input - Panel Geom. and Loads" Once all inputs are provided, the intermediate calculations like Stiffener properties, effective plate width, characteristic buckling strength etc are calculated in the Worksheet "Intermediate Calculations" The Output results: IR Lateral Pressure on Plate Side and IR Lateral Pressure on Stiffener Side are shown in the Worksheet "Output - IRs and Yield Check" User should not make any changes to Output cells To convert a Bulb section to its equivalent Angle section, the Worksheet "Bulb_to_angle" can be used References DNV RECOMMENDED PRACTICE DNV-RP-C201 BUCKLING STRENGTH OF PLATED STRUCTURES, Part 1, Oct 2010 DNV OS-C-101 DESIGN OF OFFSHORE STEEL STRUCTURES, GENERAL (LRFD METHOD),2011 Sign convention: Tensile - Compression + Pressure on plate side + Color code: Input Intermediate calculations Result www.thenavalarch.com

Instructions: Please input the Panel/Stiffener Geometry, Loads and Materials. For explanations, see the comments For bulb sections, please input the geometry of equivalent Angle section. Convert Bulb to Equivalent Angle T-section Angle-section Bulb Section Fig 1: Stiffener Geometry Panel Geometry Stiffener Geometry (Input equivalent angle section in case of bulb) Panel Material Panel Loads PanelID l (mm) s (mm) t (mm) L G (mm) Stiffener type hw tw bf tf E (MPa) G (Mpa) f y (Mpa) γ M σ x,sd (MPa) σ y1,sd (MPa) σ y2,sd (MPa) τ sd (MPa) p sd (MPa) z* (mm) M 1,Sd Unequal spans M 2,Sd Unequal spans Panel1 2000 600 10 2000 Bulb 188 9 90 12 210000 70000 355 1.15 15 30 5 20 0.1 0 Panel2 2000 600 10 2000 Bulb 188 9 90 12 210000 70000 355 1.15 15 30 5 20 0.1 57 Panel3 2000 600 10 2000 Angle 188 9 90 12 210000 70000 355 1.15 15 30 5 20 0.1 58 Panel4 2000 600 10 2000 Angle 188 9 90 12 210000 70000 355 1.15 15 30 5 20 0.1 59

Stiffener properties Forces in the idealised stiffened plate Panel ID Aw (mm 2 ) Af (mm 2 ) As (mm 2 ) z p (mm) z t (mm) z fullwidth (mm) I s (mm 4 ) I e (mm4) W es (mm 3 ) Z vertaxis (mm) Iz (mm 4 ) k g τ crg (MPa) k l τ crl (MPa) τ tf ψ mc kc C0 p0 q Sd N sd Panel1 1692.000 1080.000 2772.000 59.282 145.718 43.596 47945635.409 41869830.403 289319.311 20.279 1821707.883 9.340 44.328 5.700 300.580 0.000 0.167 13.300 61.060 0.002 0.036 81.307 131580.000 Panel2 1692.000 1080.000 2772.000 59.282 145.718 43.596 47945635.409 41869830.403 289319.311 20.279 1821707.883 9.340 44.328 5.700 300.580 0.000 0.167 13.300 61.060 0.002 0.036 81.307 131580.000 Panel3 1692.000 1080.000 2772.000 59.282 145.718 43.596 47945635.409 41869830.403 289319.311 20.279 1821707.883 9.340 44.328 5.700 300.580 0.000 0.167 13.300 61.060 0.002 0.036 81.307 131580.000 Panel4 1692.000 1080.000 2772.000 59.282 145.718 43.596 47945635.409 41869830.403 289319.311 20.279 1821707.883 9.340 44.328 5.700 300.580 0.000 0.167 13.300 61.060 0.002 0.036 81.307 131580.000

Calculation of Effective Plate Width Characteristic Buckling Strength of Stiffeners Characteristic Buckling Strength of Stiffeners Characteristic Buckling Strength of Stiffeners λp C xs Ci h α kp λc μ k σ y,r C ys Se f Epx f Epy f Ept σ j,sd c 2 λ e f ep η C β f ET λ T μ f T Ae i e Wep W p f l k f E 1.295 0.641 0.500 2.250 1.000 2.714 0.528 0.138 97.338 0.957 367.904 211.167 52.500 291.667 43.301 1.700 4.838 71.864 0.603 0.271 2.151 826.844 0.655 0.019 343.631 6451.041 80.563 706287.224 289319.311 0.447 1776.065 4264.545 1.295 0.641 0.500 2.250 1.000 2.714 0.528 0.138 97.338 0.957 367.904 211.167 52.500 291.667 43.301 1.700 4.838 71.864 0.603 0.271 2.151 826.844 0.655 0.019 343.631 6451.041 80.563 706287.224 289319.311 0.447 1776.065 4264.545 1.295 0.641 0.500 2.250 1.000 2.714 0.528 0.138 97.338 0.957 367.904 211.167 52.500 291.667 43.301 1.700 4.838 71.864 0.603 0.271 2.151 826.844 0.655 0.019 343.631 6451.041 80.563 706287.224 289319.311 0.447 1776.065 4264.545 1.295 0.641 0.500 2.250 1.000 2.714 0.528 0.138 97.338 0.957 367.904 211.167 52.500 291.667 43.301 1.700 4.838 71.864 0.603 0.271 2.151 826.844 0.655 0.019 343.631 6451.041 80.563 706287.224 289319.311 0.447 1776.065 4264.545

fr plateside fr stiffside f k plateside f k stiffenerside τ Rdy τ Rdl τ Rd M s1,rd M s2,rd N E u N kp,rd M p,rd M st,rd Characteristic Buckling Strength of Stiffeners Resistance of Stiffened Panels to Shear Stress IR Formulae for Axial Compression and Lateral Pressure Yield check for laterally loaded plates λ μ plateside μ stiffenerside Ip τ crs τ Rds N Rd N ks,rd M 1,Sd M 2,Sd ψ y ψ x Lat. Pressure 355.000 343.631 0.289 0.035 0.043 341.877 339.189 178.226 261.374 55045.872 2780.056 2417.440 178.226 1991408.441 1902715.673 27102187.209 13551093.605 86451367.375 86451367.375 27510757.644 0.013 1917793.007 218027795.275 89311613.488 0.991 0.993 0.370 43.301 355.000 343.631 0.289 0.035 0.043 341.877 339.189 178.226 261.374 55045.872 2780.056 2417.440 178.226 1991408.441 1902715.673 27102187.209 13551093.605 86451367.375 86451367.375 27510757.644 0.013 1917793.007 218027795.275 89311613.488 0.991 0.993 0.370 43.301 355.000 343.631 0.289 0.035 0.043 341.877 339.189 178.226 261.374 55045.872 2780.056 2417.440 178.226 1991408.441 1902715.673 27102187.209 13551093.605 86451367.375 86451367.375 27510757.644 0.013 1917793.007 218027795.275 89311613.488 0.991 0.993 0.370 43.301 355.000 343.631 0.289 0.035 0.043 341.877 339.189 178.226 261.374 55045.872 2780.056 2417.440 178.226 1991408.441 1902715.673 27102187.209 13551093.605 86451367.375 86451367.375 27510757.644 0.013 1917793.007 218027795.275 89311613.488 0.991 0.993 0.370 43.301 Allowable (MPa) von-mises (MPa)

IR Lateral Pressure on Plate Side IR Lateral Pressure on Stiffener Side Panel ID IR 1 IR 2 IR 3 IR 4 IR 5 IR 6 IR 7 IR 8 Yield check Sec 5 Yield check DNV-OS-C101 Panel1 0.397 0.074 0.102 0.144 OK OK Panel2 0.310 0.039 0.186 0.178 OK OK Panel3 0.308 0.039 0.188 0.179 OK OK Panel4 0.307 0.038 0.189 0.179 OK OK

Instructions To convert bulb to equivalent angle section, please input (in blue columns) the dimensions of the Bulb section The equivalent angle sections dimensions shall be shown under the 'Equivalent Angle' tab Bulb Equivalent Angle h'w t'w hw tw bf tf 260 12 234 12 49 26 300 12 269 12 55 31 320 14 287 14 60 33 340 12 305 12 61 35 340 14 305 14 63 35 240 11 216 11 45 24 280 12 252 12 52 28 320 12 287 12 58 33 340 10 305 10 59 35 370 13 332 13 66 38 200 10 180 10 38 20 220 12 198 12 43 22 200 9 180 9 37 20 160 7 145 7 29 15 120 7 109 7 25 11 75 8 69 8 31 6 140 7 127 7 26 13 80 6 73 6 26 7 100 8 91 8 26 9 120 6 109 6 24 11 120 7 109 7 25 11 120 8 109 8 26 11 100 7 91 7 25 9 Back to Inputs

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