Project 6: Non-circular cross section shaft related to torque problems are difficult to be solved using...

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Project 6: 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.6. + 20 = 0, cross-section is 2 cm² area -0.25 Figure.6: Squared cross section shaft applied to torque T as 3D model a. Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to two-dimensional (2D). b. If the governing boundary value problem equation of such a problem can be given by: 0.25cm p(x,y) at boundary is 0 where g is the shear modulus and is angle of twist for each element, respectively. 1d²p1d²p + g dy² g dx² c. Make use of the 2D layout that is demonstrated in Figure.5, perform the followings: T₂ == 0.25cm 6. Find shear stress components Tx and Ty, if you have been given that: do do Ty=dx dy' g-6.5(10) N/cm² 8 -0.035 deg 1. Justify your mesh/grid division for this problem in terms of complication of geometry or materials compositions. 2. Justify the simplification of this problem to only modeling one-eighth of the cross section 3. Construct two-dimensional elements grid (i.e., grid/mesh region), make the correct numbering and labeling of the nodes and elements. 4. Construct grid/mesh information table 5. Calculate the nodal stress values, and the distribution through each element using element matrices- Galerkin method. Project 6: 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.6. + 20 = 0, cross-section is 2 cm² area -0.25 Figure.6: Squared cross section shaft applied to torque T as 3D model a. Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to two-dimensional (2D). b. If the governing boundary value problem equation of such a problem can be given by: 0.25cm p(x,y) at boundary is 0 where g is the shear modulus and is angle of twist for each element, respectively. 1d²p1d²p + g dy² g dx² c. Make use of the 2D layout that is demonstrated in Figure.5, perform the followings: T₂ == 0.25cm 6. Find shear stress components Tx and Ty, if you have been given that: do do Ty=dx dy' g-6.5(10) N/cm² 8 -0.035 deg 1. Justify your mesh/grid division for this problem in terms of complication of geometry or materials compositions. 2. Justify the simplification of this problem to only modeling one-eighth of the cross section 3. Construct two-dimensional elements grid (i.e., grid/mesh region), make the correct numbering and labeling of the nodes and elements. 4. Construct grid/mesh information table 5. Calculate the nodal stress values, and the distribution through each element using element matrices- Galerkin method.

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