Structure Analysis With Finite Element Method Spreadsheet

Structure Analysis With Finite Element Method Spreadsheet

 

 

PARAMETERS:

PROPERTIES:

  • Materials
  • Sections
  • Supports

NODAL POINTS & LOADS

  • Nodal Points
  • Nodal Loads

MEMBERS & LOADS

  • Members
  • Point Load
  • Moment Load
  • Distributed Load

CALCULATION RESULTS

  • Member Forces
  • Support Reactions
  • Displacements

DIAGRAMS

  • Axial
  • Shear
  • Moment
  • Deflections

FLOWCHART:

 

Calculation Reference
Finite Element Analysis

 

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Stresses Beneath Pads Under Eccentric Loads, Shears and Moments Spreadsheet

Stresses Beneath Pads Under Eccentric Loads, Shears and Moments Spreadsheet

 

EccPad is an Excel spreadsheet for the calculation of pressure induced beneath rectangular pads subjected to eccentric loads, shears & moments.  The pressure distribution can be linear no-tension, linear tension allowed or uniform no-tension.
Using its analysis, pads can be sized to limit the induced vertical pressures and to have adequate safety factors against overturning in two orthogonal directions.
EccPad helps reduce design time by avoiding cumbersome hand calculations. In a design process, pad data can be saved and retrieved for repeated optimisation.
Features

  • The pressure distribution beneath the pad can be Linear-Tension-permitted or Linear-No-tension  or Uniform-No-Tension.  A pull down menu allows a selection from these three analysis options.
  • Analysis can be in any consistent units of force and length e.g.  kN m, lb ft, etc.
  • A diagram displays pressure distribution at corners and along edges of the pad on the screen display.  This allows comprehension of the induced pressure distribution at a glance when meeting design and commercial requirements.
  • The diagram also displays positions of both the axial and the shear resultants.
  • Overturning factors in the x-x and the z-z direction are calculated and shown in the screen display and output.  This allows a check of pad stability at a glance.
  • Percent loss of soffit area in compression is calculated and displayed when the analysis is non-tension.  This helps sizing of pads and improve their stability.
  • Reactions from Staad Pro or similar programs can be copied to the clipboard and pasted into EccPad.  This reduces input errors and expedites the design process.  No sign adjustments are required when the input is from Staad Pro.
  • Induced pressures are calculated at all four corners of the pad and noted in the screen display.
  • The distribution of mass in the rectangular pad can be non-uniform.  To this end, self weight of the pad and its centroid is input as data.
  • In addition to the self weight, eleven other loads can be applied in each EccPad analysis.
  • Each applied load can have 8 components i.e. Fy, Fy, Fz, Mx, My, Mz as magnitudes and  x, y, z  as their position from top lower left corner of the pad.
  • The induced pressures are calculated at soffit level of the pad.  As applied loads act on top of the pad, the additional moments equal to horizontal loads multiplied by the pad depth are taken into account in the analysis.
  • When the analysis is non-tension, the full lengths of pad edges may not be in compression.  To show extent of the compression zone, the lengths of pad edges in compression are calculated and shown in the diagram display.
  • An easy to use database facility is included within the EccPad file.  Data for up to 200 pads can be stored in a single EccPad file.
  • An Auto-analysis option allows analysis as well as printing of all or selected pads at the click of a button.
  • The pad data is kept in the worksheet STORE that is visible to the user.  Using spreadsheet features of Excel, new data can be generated and the existing one examined and or modified.
  • The template has virtually no user interface.  The printed Output matches the Screen Display.  Knowing how to use Excel and the ability to verify results as a designer is sufficient for using EccPad.
  • Green shaded cells in the spreadsheet signify User-Input and un-shaded cells signify Spreadsheet-Results.  This permits easy checking at a glance by the users and the checkers of EccPad output.

Calculation Reference
Structural Engineering

 

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Standard hook bars in tension for ACI 318-08 Spreadsheet

Standard hook bars in tension for ACI 318-08 Spreadsheet

 

ACI 318-08, Chapter 12 is the basis for this table.

The development lengths for standard hook bars in tension for ACI 318-08 is given in Article 12.5
Standard hooks (with 90-deg or 180-deg bend) are defined in Art. 7.1 of the ACI Code.

A modification factor of 0.7 is applied to the basic development length in the above table.  Therefore, the side cover (normal to the plane
of hook) for bars #11 and smaller shall be greater than or equal to 2.5″.  For 90-deg hook, cover on bar extension shall not be less than 2″.
No stirrups or ties are assumed to occur within the development length, l dh .

Standard hooks shall not be considered to be effective in developing bars in compression.

The development length of deformed bars in compression for ACI 318-08 is given by Article 12.2.3
The development length of deformed bars in compression has been calculated assuming that no spiral or ties enclose rebar to be developed.
Calculation Reference
ACI 318-08

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AASHTO LRFD 2007 – Concrete Deck Design Spreadsheet

AASHTO LRFD 2007 – Concrete Deck Design Spreadsheet

 

INPUT DATA:

  • Effective span length
  • Deck Thickness
  • Asphalt Thickness
  • Girder spacing ( S.9.7.2.3.)
  • Truck type
  • Lanes numbers
  • Reinforcement strength
  • Concrete 28-day compressive strength
  • Beton elastisite modulu
  • Concrete density
  • Asfalt density:
  • Cover
  • Bar Radius
  • Bar spacing

 

CALCULATIONS AND CHECKS

  • Dead load effects: (S.3.4.1-2)
  • Deck  Moment
  • Asphalt Moment
  • Live load effects  (S.3.6.1.1.2-1)
  • Lanes factor
  • Truck load
  • Live load moment
  • impact factor
  • Live load factored moment
  • Bending calculations  :  (S.5.7.3.2.1)
  • The pressure coefficient of the depth region
  • Moment safety factor
  • Concrete tensile stress
  • Section Length
  • Sectional Elevation Account
  • Bar numbers
  • Bar
  • Total bar area
  • Depth of stress block
  • Flexural strength
  • Flexural strength of Coefficients

Calculation Reference
Bridge Structural Design

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