Repeat Example Analysis 5 using the following data:

Shaft diameter: 2r = 50 mm

Square key side: a = 12.5 mm

Key length: $\ell$ = 37.5 mm

Maximum key shear stress: $τ_{max}$ = 200 MPa

Question

Repeat Example Analysis 5 using the following data:

Shaft diameter: 2r = 50 mm

Square key side: a = 12.5 mm

Key length: [latex]\ell[/latex] = 37.5 mm

Maximum key shear stress: [latex]τ_{max}[/latex] = 200 MPa

Accepted Answer

From Eq. (b) of the solution of Example Analysis 4 the shaft moment T is:

T = ra[latex]\ellτ[/latex] (a)

By substituting the given data values, [latex]T_{max}[/latex] is:

[latex]T_{max}=\left[\left(25\right)\left(10^{-3} \right) \right]\left[\left(12.5\right)\left(10^{-3} \right) \right]\left[\left(37.5\right)\left(10^{-3} \right) \right]\left[\left(200\right)\left(10^{6} \right) \right]Nm[/latex]

or

[latex]T_{max}[/latex]=2.344kN m (b)

Chapter 8

Q. 8.6

Q. 8.6

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