Question

Combined Loading

The structure shown has a diameter of 32mm. The length dimensions are a = 120mm and b = 100mm. Using load magnitudes of Px = 2800 N and Pz = 1800 N, determine the normal and shear stresses in the structure at point H. (Point H is co-planar with the x-z plane.) 

The cross-sectional properties are: 

A=804 mm² 

J=102,944 mm⁴ 

ly=Iz=51,472 mm⁴ 

Qmax=2731 mm³ 

 Present your answers in the following stress tensor matrix based on the x, y, z coordinate system: 

Answer 1

five P i compressive stress F P momen Bending in PRone and Hence due to this at bottom Tensile and hotusre af STress at H is sress (at point F is Campressive) Fibxe natusne due o H STYESS at So (Pxb) Ix x (32/h) 286D X(00 X 804 I 2 03- 56 MPa due to P at H direct Sheas stress STress tShea, due fo Torsion Bending PZ Outer surface Hence dimect But since H is at Since osuatiòn stress is Folss direc* sheo) sheas Shea STress

duo SAress at Point Bend ing Since i P2.a moment neutral Plane ftere Bending in Peane Z- Shean stress 2- plane J J o2, 34 27.98 M Pa . So tyz 03.56 27.98 O O