V. Twist in a Tapered Tube
To find the twist at the free end of a hollow tapered shaft of uniform thickness.
Reference
Hand calculation using the following reference:
Mechanics of Materials, F.P.Beer & E.R.Johnston, 1981, McGraw-Hill Review Problem 3.120, Page 149.
Problem
The beam in the following figure which has the following geometric, load, and section properties: L = 2 m, outside diameter at fixed end = 80 mm, outside diameter at free end = 40 mm, uniform wall thickness of 10 mm, , IZ = 5,000 cm4 , E = 200 KN/mm2 , T = 2.0 KNm, and Poisson's ratio = 0.3.
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\01 Beams\Twist in a Tapered Tube.STDis typically installed with the program.
STAAD SPACE TORSION ON CONICAL SHAFT
START JOB INFORMATION
ENGINEER DATE 18-Sep-18
END JOB INFORMATION
*
* REFERENCE : MECHANICS OF MATERIALS, F.P.BEER & E.R.JOHNSTON
* 1981, MCGRAW-HILL
*
* REVIEW PROBLEM 3.120, PAGE 149. TWIST AT FREE END SHOULD BE
* ABOUT 0.0751 RADIAN
*
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 0 2 0;
MEMBER INCIDENCES
1 1 2;
UNIT MMS KN
MEMBER PROPERTY AMERICAN
1 PRIS ROUND STA 80 END 40 THI 10
UNIT METER KN
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 2e+08
POISSON 0.3
END DEFINE MATERIAL
UNIT MMS KN
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 FIXED
UNIT METER KN
LOAD 1
JOINT LOAD
2 MY 2
PERFORM ANALYSIS
PRINT JOINT DISPLACEMENTS
FINISH