oblem 7: Non-circular cross section shaft related to torque problems are difficult to be solved using the bas ory as for circular shaft. Your role is to make use of FAE to analyze the stress in squared cross section shaf wn in Figure.5. · =6.5(10°) N/cm² 0 = 0.035 deg 0.5 cm 0.5 cm ko.scm-+ 0.s cm- Figure.5: Squared cross section shaft applied to torque T as 3D model

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The...
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Problem 7: Non-circular cross section shaft related to torque problems are difficult to be solved using the basic
theory as for circular shaft. Your role is to make use of FAE to analyze the stress in squared cross section shaft
shown in Figure.5.
g= 6.5(10%) N/cm?
e = 0.035 deg
0.5 cm
0.5 cm
0.5 cm- 0.5 cm
Figure.5: Squared cross section shaft applied to torque T as 3D model
Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to
two- dimensional (2D).
b.
а.
If the governing boundary value problem equation of such a problem can be given by:
+ 2g0 = 0,
dy?
$(x,y) at boundary is 0
dx2
Transcribed Image Text:Problem 7: Non-circular cross section shaft related to torque problems are difficult to be solved using the basic theory as for circular shaft. Your role is to make use of FAE to analyze the stress in squared cross section shaft shown in Figure.5. g= 6.5(10%) N/cm? e = 0.035 deg 0.5 cm 0.5 cm 0.5 cm- 0.5 cm Figure.5: Squared cross section shaft applied to torque T as 3D model Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to two- dimensional (2D). b. а. If the governing boundary value problem equation of such a problem can be given by: + 2g0 = 0, dy? $(x,y) at boundary is 0 dx2
4. Construct grid/mesh information table
5. Calculate the nodal stress values, ø and the distribution through each element using element matrices-
Galerkin method.
6. Find shear stress components T and ty, if you have been given that:
dф
dø
Ty='dx
dy'
Transcribed Image Text:4. Construct grid/mesh information table 5. Calculate the nodal stress values, ø and the distribution through each element using element matrices- Galerkin method. 6. Find shear stress components T and ty, if you have been given that: dф dø Ty='dx dy'
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