BOLLARD STRENGTH CHECK

Transcription

1 BOLLARD STRENGTH CHECK Bollards are used for mooring and towing purposes. Their strength check forms an important exercise in tow gear selection and design This spreadsheet can be used to perform a strength check of a bollard under a given line pull Though the spreadsheet shows a double bollard, it can be used as effectively for a single bollard as well The input cells are in blue and in the 'Inputs' spreadsheet. Once all inputs are given, the strength check is performed automatically by the spreadsheet Assumptions: 1. The weld everywhere is assumed as fillet weld 2. The weld between bollard pipe and base frame is considered as fillet weld on two sides References 1. AISC ASD 9th Ed For feedbacks, write to thenavalarch@gmail.com OR info@thenavalarch.com

2 BOLLARD STRENGTH CHECK INPUTS F(Force on Bollard) ALLOWABLE STRESS 1 Steel Yield Stress Weld Yield Stress σ y 235 MPa σ yw 480 MPa A (Angle of Force) Allow. Bearing Stress σ b 0.9σ y MPa Allow. Shear Stress 1 As per AISC ASD 9th Ed τ a 0.4σ y 94 MPa Allow. Tensile Stress Allow. Bending Stress Allow. Von Mises Stress Allow. Weld Stress σ t 0.6σ y 141 MPa σ bend 0.6σ y 141 MPa σ c 0.75σ y MPa σ W 0.3σ yw 144 MPa BOLLARD GEOMETRY B Y B H P (Height of Force from top of Base Frame) Outer Diameter of Thickness of Outer Length of Base Frame Outer Width of Base Frame D o t P L B W B 325 mm 18 mm 1300 mm 430 mm H B (Height of Thickness of Base Frame Height of Base Frame t B H B mm 125 mm L B (Outer Length of A Section A-A WELD THICKNESS Thickness of Weld between bollard pipe and base frame Thickness of Weld between base frame and deck t w1 t w2 F(Force on Bollard) Thickness t P FORCES Force on Bollard F 20 MT D I(Inner Dia) D O(Outer Dia) Load Safety Factor SF 1.25 Angle of Force Height of Force measured from top of base frame H P 480 mm Section B-B Top View and Axis System

3 Design Force on Angle of Force with Horizontal Horizontal Force (for Shear and Bending) Vertical (Axial) Force Inner Diameter of Section area of Section Modulus of BOLLARD PIPE STRENGTH CHECK DESIGN FORCES AND MOMENTS ON BOLLARD PIPE F P F x SF 25 MT F H F P x cos MT F V F P x sin 0.00 MT Moment arm of Horizontal Force about axis X-X (same as height of - see Fig 1 on Right) H P 480 mm Design Moment on M P F H x H P MT-mm BOLLARD PIPE PROPERTIES Outer Diameter of Thickness of Shear Stress on Axial Stress on Bending Stress on Von Mises Stress on Weld Type Length of Weld Thickness of Weld between bollard pipe and base frame Weld Throat thickness Weld Area Section Modulus of Weld Shear Stress on Weld Tensile Stress on Weld Bending Stress on Weld Total Stress on Weld Allowable Weld Stress on Weld Weld Stress Check D o mm t p mm D I D O - 2 x t P mm A P π x (D O 2 - D I 2 )/ mm 2 Z P π x (D 4 O - D 4 I )/(32 x D O ) mm 3 STRESSES ON BOLLARD PIPE τ S F H / A P MPa OK σ T F V / A P 0.00 MPa OK σ B M P / Z P MPa OK σ V {(σ T + σ B ) 2 + 3τ 2 S } 1/ MPa OK WELD CHECK (Weld between and Fillet L w π x D O 1021 mm t w1 S w x t w1 x 2 sides mm A w L w x S w mm 2 Z w π x S w1 x D O 2 / mm 3 τ SW F H / A w MPa σ TW F V / A w 0.00 MPa σ BW M P / Z w MPa σ VW {σ BW 2 + σ TW 2 + τ SW 2 } 1/ MPa σ W MPa OK D I (Inner Dia) Thickness t P Section A-A D O (Outer Dia of ) D O (Outer Dia) Weld between and Base Frame (t w1 )

4 Design Force on Base Frame Angle of Force with Horizontal Outer Width of Base Frame Horizontal Force (for Shear and Bending) Vertical (Axial) Force Moment arm of Horizontal Force about base Design Moment on Base Frame Outer Length of Base Frame Thickness of Base Frame Inner Length of Base Frame Inner Width of Base Frame Section area of Base Frame Moment of Inertia of Base Frame about X-axis Section Modulus of Base Frame about X-axis Shear Stress on Base Frame Axial Stress on Base Frame Bending Stress on Base Frame Von Mises Stress on Base Frame Weld Type Length of Weld Thickness of Weld between base frame and deck Weld Throat thickness Weld Area Section Modulus of Weld about X-axis Shear Stress on Weld Tensile Stress on Weld Bending Stress on Weld Total Stress on Weld Allowable Weld Stress on Weld Weld Stress Check BASE FRAME STRENGTH CHECK DESIGN FORCES AND MOMENTS ON BASE FRAME F P F x SF 25 MT F H F P x cos MT F V F P x sin 0.00 MT H PB H P + H B 605 mm M P F H x H PB MT-mm BASE FRAME PROPERTIES L B W B t B mm mm mm L BI (L B - 2t B) mm W BI (W B - 2t B) mm A B L B x W B - L BI x W BI mm 2 I BXX L B x W B 3 /12 - L BI x W BI 3 / mm 3 Z BXX I BXX/(W B/2) mm 3 STRESSES ON BASE FRAME τ S F H / A P 5.99 MPa OK σ T F V / A P 0.00 MPa OK σ B M P / Z P MPa OK σ V {(σ T + σ B) 2 + 3τ 2 S } 1/ MPa OK WELD CHECK (Weld between Base Frame and deck) Fillet L w 2 x (L B + W B) 3460 mm t w2 S w x t w mm A w L w x S w mm 2 Z w (L B x W B + W B 2 /3) x S w mm 3 τ SW F H / A w MPa σ TW F V / A w 0.00 MPa σ BW M P / Z w MPa σ VW {σ BW 2 + σ TW 2 + τ SW 2 } 1/ MPa σ W MPa OK L B (Outer Length of L BI (Inner Length of t B (Thicknessof Base Frame) L B (Outer Length of W B (Inner Width of t W2 (Weld between Base Frame and Deck)

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