SPMT Loadout Ramp Design Spreadsheet (

Transcription

1 What does this Excel App do? SPMT Loadout Ramp Design Spreadsheet ( This App can be used to design a simple steel plate to be used as a ramp for loadout using SPMT Trailer The plate is placed between the Quay and the Vessel/Barge to cover the gap and act as a bridge for loadout (see Fig) The spreadsheet evaluates the strength of the steel plate by considering it as a simply supported wide beam with the Quay-Barge gap as upsupported span The plate is designed for a single file of the SMPT trailer. If there are multiple files, plates with the same design can be added for other files during loadout Very useful to design a simple wide steel plate to be used during simple loadout operation How to use this Excel Sheet The 'Inputs' worksheet has all the inputs required The user needs to provide the plate dimensions, the quay-barge gap, and the SPMT trailer dimensions After providing all inputs, the user needs to click on the button 'Check Plate Strength' as shown below Upon clicking the button, the program will generate different loadcases showing different positions of SPMT on the ramp For each load case, the strength check (Shear Force and Bending Moment) is performed, and the graphics are generated Assumptions/Limitations 1. The Barge deck and Quay must be on the same elevation. The plate must be horizontal (not inclined) 2. The steel plate is considered as a simply supported wide beam with the Quay-Barge gap as the unsupported length This assumption is valid in this case, since the load of the SPMT trailer on the plate is evenly distributed through the width of the plate 3. The Weight of the Topside is considered to be evenly distributed over each axle line of the SPMT

2 RAMP/LINK PLATE DESIGN SPREADSHEET FOR LOADOUT INPUTS *Note: The plate designed is for a single file of the SPMT trailer (See Fig 2). If there are multiple files, the same plate design can be repeated for every file (See Fig 2) Parameter Symbol Value Unit Allowable Yield Stress σ Y 345 MPa Design Load Factor (for any dynamic loads during loadout) DLF 1.2 LINK PLATE PROPERTIES (plate to be sized for single file of the SPMT Axle line) Length of Link Plate (See Fig 1) L P 5000 mm Breadth of Link Plate (See Fig 2) B 3600 mm Thickness of Link Plate T 50 mm QUAY-BARGE Details Parameter Symbol Value Unit Length of Gap between Quay side and Vessel (See Fig 1) L 3000 mm SPMT Trailer Details* Parameter Symbol Value Unit Total Load on SPMT (Weight of Topside + Self-weight of SPMT Trailer) - excluding the design load factor P 800 MT No. of Axle Lines (See Fig 3) n AX 10 No. of Files (See Fig 3) n F 10 Distance between two axle lines (See Fig 1) d 800 mm Total Width of One Axle Line (See Fig 2) W 3500 mm *Note: The plate designed is for a single file of the SPMT trailer (See Fig 2). If there are multiple files, the same plate design can be repeated for every file (See Fig 2) Figure 1 Loadout Ramp (Elevation View) Figure 2 Loadout Ramp (Section View) Check Plate Strength Axle Line. No. 1 Axle Line. No. 2 Axle Line. No. 3 Axle Line. No. 4 Axle Line. No. 5 Axle Line. No. 6 Axle Line. No. 7 Axle Line. No. 8 File #1 File #2 File #3 File #4 Figure 3 (Example) Top View of a SPMT Trailer 4 Files, 8 Axle Lines (n AX = 8, n F = 4)

3 DESIGN LOADS AND ALLOWABLE STRESSES Allowable Stresses 1 Allowable Bearing Stress σ be(allow) 0.9 x σ y MPa Allowable Bending Stress (In-plane) σ bd(allow) 0.6 x σ y MPa Allowable Bending Stress (Out of-plane) σ bdo(allow) 0.75 x σ y MPa Allowable Shear Stress τ s(allow) 0.4 x σ y MPa Design Loads Total Load on SPMT P MT No. of Axle Lines (See Fig 3) n AX 10 MT No. of Files (See Fig 3) n F 10 MT Load on each Axle Line P AX P/(n AX x n F ) 8.00 MT Design Load Factor DLF 1.20 Design Load on each Axle Line P d P AX x DLF 9.60 MT 1 As per AISC ASD 9th Ed

4 Z - Axis B. PLATE SECTION PROPERTIES B.1 Plate Dimensions (See Fig 4) Length of Plate L p mm Width of Plate B mm Thickness of Plate T mm B.1 PLATE Properties 1 Shear Area A S 5/6 x B x T mm 2 Max Distance from Neutral Axis - Y C y T/ mm Moment of Inertia about X axis I xx BT 3 / mm 4 Section Modulus about X axis Z xx I xx /C y mm 3 1 From Roark's formulae for Stress and Strain, 7th Ed, Appendix A, Table A.1-2 Width of Plate (B) Thickness of Plate (T) Fig B.1: Section A-A of Plate X - Axis

5 OUTPUTS - STRESS CALCULATIONS FOR CASE: 1 Wheel(s) on ramp DESIGN LOAD PER AXLE P 9.6 MT Unsupported length of Plate L 3000 mm Distance between axle lines d 800 mm Calculation of reactions Reaction at Barge end of Plate R1 1P - 1Pd/L 7.04 MT Reaction at Quayside end of Plate R2 1Pd/L 2.56 MT Calculation of Shear and Bending Stresses Maximum Shear Force SF Higher of R1 and R MT Shear Area A s mm 2 Shear Stress τ SF/A s 0.46 MPa Allowable Shear Stress τ allow 138 MPa Shear Stress Check Max. Bending Moment BM [1P - 1Pd/L] x d 5632 MT-m Section Modulus(X-axis) Z xx mm 3 Bending Stress σ b BM/Z xx MPa Allowable Bending Stress σ allow 207 MPa Bending Stress Check BENDING MOMENT SUMMARY LOCATION VALUE (MT-m) FORMULA Wheel Number R1 x d QUAY BENDING MOMENT CURVE (MT-mm) P(9.6 MT) d = Length of Gap, L = 3000mm R1 = 1P - 1Pd/L (7.04MT) R2 = 1Pd/L (2.56MT) BARGE Max. Bending Moment, BM = [1P - 1Pd/L] x d = 5632MT-m Max. Shear Force, SF = Higher of R1 and R2 = 7.04MT Case Name: 1 Wheel(s) on ramp Note: The figure shows the point where the wheel number 2 is about to move on the ramp, and it's load is not yet on the ramp

6 OUTPUTS - STRESS CALCULATIONS FOR CASE: 2 Wheel(s) on ramp DESIGN LOAD PER AXLE P 9.6 MT Unsupported length of Plate L 3000 mm Distance between axle lines d 800 mm Calculation of reactions Reaction at Barge end of Plate R1 2P - 3Pd/L MT Reaction at Quayside end of Plate R2 3Pd/L 7.68 MT Calculation of Shear and Bending Stresses Maximum Shear Force SF Higher of R1 and R MT Shear Area A s mm 2 Shear Stress τ SF/A s 0.75 MPa Allowable Shear Stress τ allow 138 MPa Shear Stress Check Max. Bending Moment BM [2P - 3Pd/L]x2d - 1Pd MT-m Section Modulus(X-axis) Z xx mm 3 Bending Stress σ b BM/Z xx MPa Allowable Bending Stress σ allow 207 MPa Bending Stress Check BENDING MOMENT SUMMARY LOCATION VALUE (MT-m) FORMULA Wheel Number R1 x d Wheel Number R1 x2d - 1Pd QUAY BENDING MOMENT CURVE (MT-mm) P(9.6 MT) P(9.6 MT) d = Length of Gap, L = 3000mm R1 = 2P - 3Pd/L (11.52MT) R2 = 3Pd/L (7.68MT) BARGE Max. Bending Moment, BM = [2P - 3Pd/L]x2d - 1Pd = 10752MT-m Max. Shear Force, SF = Higher of R1 and R2 = 11.52MT Case Name: 2 Wheel(s) on ramp Note: The figure shows the point where the wheel number 3 is about to move on the ramp, and it's load

7 OUTPUTS - STRESS CALCULATIONS FOR CASE: 3 Wheel(s) on ramp DESIGN LOAD PER AXLE P 9.6 MT Unsupported length of Plate L 3000 mm Distance between axle lines d 800 mm Calculation of reactions Reaction at Barge end of Plate R1 3P - 6Pd/L MT Reaction at Quayside end of Plate R2 6Pd/L MT Calculation of Shear and Bending Stresses Maximum Shear Force SF Higher of R1 and R MT Shear Area A s mm 2 Shear Stress τ SF/A s 1 MPa Allowable Shear Stress τ allow 138 MPa Shear Stress Check Max. Bending Moment BM [3P - 6Pd/L]x2d - 1Pd MT-m Section Modulus(X-axis) Z xx mm 3 Bending Stress σ b BM/Z xx MPa Allowable Bending Stress σ allow 207 MPa Bending Stress Check BENDING MOMENT SUMMARY LOCATION VALUE (MT-m) FORMULA Wheel Number R1 x d Wheel Number R1 x2d - 1Pd Wheel Number R1 x3d - 3Pd QUAY BENDING MOMENT CURVE (MT-mm) P(9.6 MT) P(9.6 MT) P(9.6 MT) d = Length of Gap, L = 3000mm R1 = 3P - 6Pd/L (13.44MT) R2 = 6Pd/L (15.36MT) BARGE Max. Bending Moment, BM = [3P - 6Pd/L]x2d - 1Pd = 13824MT-m Max. Shear Force, SF = Higher of R1 and R2 = 15.36MT Case Name: 3 Wheel(s) on ramp Note: The figure shows the point where the wheel number 4 is about to move on the ramp, and it's load

8 OUTPUTS - STRESS CALCULATIONS FOR CASE: 4 Wheel(s) on ramp DESIGN LOAD PER AXLE P 9.6 MT Unsupported length of Plate L 3000 mm Distance between axle lines d 800 mm Calculation of reactions Reaction at Barge end of Plate R1 4P/ MT Reaction at Quayside end of Plate R2 4P/ MT Calculation of Shear and Bending Stresses Maximum Shear Force SF Higher of R1 and R MT Shear Area A s mm 2 Shear Stress τ SF/A s 1.26 MPa Allowable Shear Stress τ allow 138 MPa Shear Stress Check Max. Bending Moment BM 4PL/4-16Pd/ MT-m Section Modulus(X-axis) Z xx mm 3 Bending Stress σ b BM/Z xx 87.9 MPa Allowable Bending Stress σ allow 207 MPa Bending Stress Check BENDING MOMENT SUMMARY LOCATION VALUE (MT-m) FORMULA Wheel Number R1*x {x = (L- 4d)/2} Wheel Number R1 * (x + 1d) - 1Pd Wheel Number R1 * (x + 2d) - 3Pd Wheel Number R1 * (x + 3d) - 6Pd QUAY BENDING MOMENT CURVE (MT-mm) P(9.6 MT) P(9.6 MT) P(9.6 MT) d = Length of Gap, L = 3000mm R1 = 4P/2 (19.2MT) 5760 P(9.6 MT) 1 R2 = 4P/2 (19.2MT) BARGE Max. Bending Moment, BM = 4PL/4-16Pd/8 = 13440MT-m Max. Shear Force, SF = Higher of R1 and R2 = 19.2MT Case Name: 4 Wheel(s) on ramp Note: The figure shows the loading case when 4 wheels are symmetrically placed on the ramp

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