Holooly Plus Logo
Holooly Plus Logo

Question 8.6: Repeat Example Analysis 5 using the following data:Shaft dia......

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

Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.
Report Answer

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

T = ra\ellτ (a)

By substituting the given data values, T_{max} is:

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

or

T_{max}=2.344kN m   (b)

Related Answered Questions

Question: 8.2

Repeat Example Analysis 1 using the following physical and geometric data: σmax = 200 MPa τmax = 70 MPa r = 6.3 mm h = 13 mm τ = 3.5 mm For convenience we show the line drawing of the chain link again here: As before the objective is to find the theoretical maximum force F that the link joint ...

Verified Answer:

To this end, in considering pin shear, the cross-s...
Question: 8.1

Figure a contains an overhead and side view line drawing of a typical chain link. Suppose the links and connecting pins are metal (for example, steel) with tensile strength: σmax = 30 ksi and shear strength: τmax = 10 ksi. Let the pin radius r be 0.25 in. Let the links have a rectangular ...

Verified Answer:

Assume ideal geometry. The system will then either...
Question: 8.3

Two circular, equal diameter, transmission shafts are to be coupled end-to-end as in Figure a. Suppose the coupling joint is to consist of a collar and pins as illustrated in Figure b. Let the shafts each have radius R and let the pin radii be r, as in Figure c. Let an axial moment (or “torque”) T ...

Verified Answer:

From the end view in Figure b, we see that during ...
Question: 8.4

Square keys are commonly used in shaft/hub connections as represented in Figure a. When a moment T is applied to the shaft, the key is subjected to shear forces. We can keep the shear forces from creating excess shear stresses by either: (i) increasing the key cross-section area; or (ii) increasing ...

Verified Answer:

Envision a free-body diagram of say the upper half...
Question: 8.5

Review Example Analysis 4. Suppose we have a 2 in. diameter shaft with a ½ in. square key. Suppose the key length is 1½ in. Suppose further that the maximum shear stress τmax of the key material is 30,000 psi. Determine the maximum shaft moment Tmax which can be transmitted through the joint. ...

Verified Answer:

From Eq. (b) of the solution of Example Analysis 3...