You have downloaded this file 0 times in the last 24 hours, limit is 100.
Your file downloads total 0 in the last 24 hours, limit is 20.

FRAME.xls
 
This location is for Registered Users Only.
Perhaps you need to login or register.

Description:

"FRAME" is a spreadsheet program written in MS-Excel for the purpose of plane frame analysis of portal and gable rigid plane frames subjected to various types of loading.  Specifically, the "stiffness matrix" method of analysis is used to determine the unknown joint displacements, support reactions, and member end forces.  Individual frame members are also analyzed to determine the shears and intermediate moments.  Plots of both the shear and moment diagrams are also produced.  Also, the frame is drawn for visual confimation of geometry/configuration.

This program is a workbook consisting of three (3) worksheets, described as follows:
  • Doc - Documentation sheet
  • Portal Frame - Portal rigid plane frame analysis
  • Gable Frame - Gable rigid plane frame analysis
All the worksheets are independent and self contained, so that you can move them from one workbook to another. All the worksheets are protected, but not with a password.

Program Assumptions and Limitations:

1.   This program uses the "stiffness matrix" method of analysis and four (4) following basic analysis assumptions:
          a.  Members must be of constant cross section (E and I are constant for entire length).
          b.  Deflections must not significantly alter the geometry of the problem.
          c.  Stress must remain within the "elastic" region.
          d.  Since this is a "first-order", linear analysis, the effects of "P-delta" and shear deformation are not included.
          (However, significant effects due to shear deformation are limited to very short and deep members.)

2.   Additional assumptions and features are as follows:
          a.  Frame support joints may each be either fixed or pinned.
          b.  Frame support joints may be at different levels (elevations).
          c.  Columns must be vertical (cannot be sloped).
          d.  For a portal frame, the top (roof) member may be flat or sloped in either direction.

3.   A vertical load, horizontal load, and externally moment may be applied to any of the joints of the frame.  These joint loads are to be applied in "global" axes directions.  Note: Joint loads applied directly at supports are merely added directly to support reactions and are not reflected in member end force values.

4.   On any individual member, this program will handle up to five (5) full uniform, partial uniform, triangular, or trapezoidal loads, up to ten (10) point loads, and up to four (4) externally applied moments.  For vertical members, distributed loads and point loads are input in a "X-Global" sence of direction.  For flat or sloped top (roof) members, distributed loads may be applied global over actual member length or applied global over the "projected" member length.  Program designations are "Y-Global", "Y-Projected", "X-Global", and "X-Projected". For a flat top (roof) member of a portal frame, "Y-Global" and "Y-Projected" loads produce the same results. Uniformly distributed gravity (dead or live) load would be an example of a "Y-Global" distributed load on a sloped top (roof) member, while lateral uniformly distributed wind load on sloped top (roof) member would be an example of an "X-Projected" distributed load.  A uniformly distributed load such as wind suction perpendicular (normal) to a sloped top (roof) member must be resolved into Y-Global and X-Global component values by user.

5.   This program will calculate the member end reactions, the member end forces (axial, shear, and moment), the member maximum positive and negative moments (if applicable), and the joint displacements. The calculated values for the maximum moments are determined from dividing the member into fifty (50) equal segments with fifty-one (51) points, and including all of the point load and applied moment locations as well.  (Note: the actual point of maximum moment occurs where the shear = 0, or passes through zero.)

6.   The user is also given the ability to select an AISC W, S, C, MC, or HSS (rectangular tube) shape to aide in obtaining the required moment of inertia for input.  (This facility is located off to the right of the main page.)

7.  This program contains numerous “comment boxes” which contain a wide variety of information including explanations of input or output items, equations used, data tables, etc.  (Note:  presence of a “comment box” is denoted by a “red triangle” in the upper right-hand corner of a cell.  Merely move the mouse pointer to the desired cell to view the contents of that particular "comment box".)

Procedure for Stiffness Method of Frame Analysis:

1.Identifiy members and joints in frame

2.Specify near (start) joint and far (end) joint for each member in frame

3.Establish global coordinate system

4.Calculate fixed-end moments (FEM's) and shears for each member due to applied member loads

5.Specify x, y, and z coding components (3 in all) at each joint as follows:
a. Use lowest numbers to identify unknown joint displacements (for partioning overall matrix)
b. Use remaining numbers to indentify known displacements

6.From the problem, establish the known displacements, Dk, and known external forces and reactions, Qk

7.Determine 6x6 stiffness matrix, k', for each of the member expressed in global coordinates

8.Merge individual member stiffness matrices into stiffness matrix, K, for entire frame

9.Partition the structure stiffness matrix, K.

10.Solve for unknown displacements.

11.With the solved displacements, solve for unknown support reactions.

12.Solve for internal member end forces

13.Superimpose member fixed-end moments (FEM's) and shears with the frame analysis end forces to get final member end forces

Reference:  "Structural Analysis" - by Russel C. Hibbeler, Macmillan Publishing Company (1985), pages 441 to 497

Calculation Reference
Structural Analysis - Hibbeler
Modern Formulas for Statics and Dynamics
Structural Steel Designer's Handbook

Submitted By:
Alex Tomanovich (ATomanovich)
Submitted On:
11 Oct 2016
File Size:
3,765.50 Kb
Downloads:
1326
File Version:
1.2
File Author:
Alex Tomanovich
Rating:
Total Votes:27
Comments: 13
rahulmenon 7 months ago
http://www.walchandalumni.com/index.php/wce-innovation/124-retired-teachers/208-prof-k-t-krishnaswamy

Do you have an excel sheet for plane framework square or rectangular framework supported on 4 corner columns like shown in the link above?

Thanks

Rahul
ATomanovich 3 years ago
It was brought to my attention that in both the English units and metric units versions of the "FRAME" workbook, I had a text typo error in the comment boxes for the modulus of elasticity, E. For wood (southern pine), I had shown 1.4 - 1.6 ksi, when it should have been 1,400 - 1,600 ksi, and 9.7 - 11.0 MPa, when it should have been 9,700 - 11,000 MPa respectively.
I have made the corrections to the comment boxes.
ATomanovich 4 years ago
Hello Alex
Thanks for this interresting tool.
I would like to have more information regarding the limitations applied to members 1 and 3 that have to be vertical according "Portal Frame" sheet "joint coordinates" table.
From what I have seen, stiffness matrices seems correctly rotated whatever the member and I have checked versus a small beam FEM and results are identical for the configuration attached or others always loaded on member 2.
Thanks a lot for your answers.
Best regards.
Nicolas [img size=460]http://www.excelcalcs.com/media/kunena/attachments/legacy/images/Frame_metric_.jpg[/img]
ATomanovich 6 years ago
In the process of creating the new metric units version of the "FRAME.xls" spreadsheet workbook for the analysis of portal and gable frames, I realized that for some reason I had used the angular units of radians for the slope (rotation) which really are suited for metric (SI) units. Degrees would have been the better choice for consistent English units, so I made that minor change in the 2 calculation worksheets.
Also, since a few people had asked me about it, I added some information at the bottom of the "DOC" worksheet describing how the user can manually implement an iterative solution to account for P-Delta ("Big" Delta) effects (2nd order) on the columns of a frame.
This workbook is now version 1.1.
BrettUW 8 years ago
Thanks for this spreadsheet. Very useful for preliminary sizes of foundations for pre-engineered metal buildings before a building manufacturer is selected.
roofguy 10 years ago
This is the most impressive spreadsheet I have seen in the repository in both its complexity and its presentation format. I have another means to obtain the same answers, but I will use this for submitting calculations.
roofguy 10 years ago
This is the most impressive spreadsheet I have seen in the repository in both its complexity and its presentation format. I have another means to obtain the same answers, but I will use this for submitting calculations.
hajmal 10 years ago
I think this is a very useful worksheet for engineers doing frame analysis and design.
hajmal 10 years ago
I think this is a very useful worksheet for engineers doing frame analysis and design.
MSH 10 years ago
After I used, benefited, and enjoyed your spreadsheets, finally I found the time to say,
MSH 10 years ago
After I used, benefited, and enjoyed your spreadsheets, finally I found the time to say, "Thank you".
k.allan 11 years ago
Great but SI(metric) version req'd.I will see how difficult it would be.
k.allan 11 years ago
Great but SI(metric) version req'd.I will see how difficult it would be.

We have 314 guests and no members online

Contact Us
post/emailEmail (preferred method of contact)
telephone US +1 617 5008224
telephone EU +44 113 8152220
Our Feeds
Repository RSS. News RSS.