A carbon steel ball with 27-mm diameter is pressed together with an aluminum ba Determine the maximum shear stress and the depth at which it will occur for the a is based on a typical Poisson's ratio of 0.3, is applicable to estimate the depth at materials. σ. T 1.0

Elements Of Electromagnetics
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A carbon steel ball with 27-mm diameter is pressed together with an aluminum ball with a 35-mm diameter by a force of 11 N.
Determine the maximum shear stress and the depth at which it will occur for the aluminum ball. Assume the figure given below, which
is based on a typical Poisson's ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress occurs for these
materials.
Ratio of stress to Pma
σ. T
1.0
0.8
0.6
0.4
0.2
0
J₂, J₂
0.5a
σ₂
Tmax
a
2a
Distance from contact surface
1.5a
2.5a
3a
The maximum shear stress is determined to be 134.6
Z
MPa.
The depth in the aluminum ball at which the maximum shear stress will occur is determined to be 0.0519 mm.
Transcribed Image Text:A carbon steel ball with 27-mm diameter is pressed together with an aluminum ball with a 35-mm diameter by a force of 11 N. Determine the maximum shear stress and the depth at which it will occur for the aluminum ball. Assume the figure given below, which is based on a typical Poisson's ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress occurs for these materials. Ratio of stress to Pma σ. T 1.0 0.8 0.6 0.4 0.2 0 J₂, J₂ 0.5a σ₂ Tmax a 2a Distance from contact surface 1.5a 2.5a 3a The maximum shear stress is determined to be 134.6 Z MPa. The depth in the aluminum ball at which the maximum shear stress will occur is determined to be 0.0519 mm.
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