Shafts and Shaft Components

50 questions available

Summary unavailable.

Questions

Question 1

What is the primary functional difference between a shaft and an axle as defined in the context of mechanical design?

View answer and explanation
Question 2

According to the text, why is deflection in a shaft not typically controlled by material selection among different steels?

View answer and explanation
Question 3

What is the primary purpose of using shoulders on a shaft?

View answer and explanation
Question 4

Why is it generally recommended to use only one bearing to carry the axial (thrust) load on a shaft?

View answer and explanation
Question 5

A rotating shaft is subject to a constant bending moment. What kind of stress does a specific stress element on the outer surface of this shaft experience?

View answer and explanation
Question 6

What are the two terms, represented by A and B, that are first established to simplify the various DE-criterion equations for shaft design?

View answer and explanation
Question 7

In a rotating shaft with a constant bending moment of 1260 lbf·in and a steady torsion of 1100 lbf·in, the fatigue stress-concentration factors are Kf = 1.58 and Kfs = 1.37. What is the value of the combined alternating stress component, A, as defined in Equation (7-6)?

View answer and explanation
Question 8

For a first design iteration of a shaft with a shoulder fillet, when dimensions are unknown, what is a reasonable estimate for the stress-concentration factor Kt for bending, assuming a sharp fillet (r/d = 0.02) and a typical D/d ratio of 1.5?

View answer and explanation
Question 9

What is the typical maximum allowable transverse deflection for a spur gear with a diametral pitch P between 20 and 50 teeth/in?

View answer and explanation
Question 10

If a deflection analysis of a shaft shows that the slope at a bearing is 0.001095 rad, but the allowable slope is only 0.0005 rad, and the current diameter is 1.0 inch, what should the new diameter be to meet the requirement?

View answer and explanation
Question 11

What is the phenomenon known as 'critical speed' in a rotating shaft?

View answer and explanation
Question 12

Rayleigh's method, given by the equation ω1 = sqrt(g * Σ(wi*yi) / Σ(wi*yi^2)), is used to estimate the first critical speed of a shaft. What do the variables wi and yi represent?

View answer and explanation
Question 13

What does Dunkerley's equation approximate?

View answer and explanation
Question 14

Which common torque-transfer element is described as being 'essentially stubby gear teeth formed on the outside of the shaft' and is typically used for high torques?

View answer and explanation
Question 15

What is the primary advantage of a Woodruff key, as described in Section 7-7?

View answer and explanation
Question 16

Why are retaining rings, when used in locations with high bending stress, a cause for concern?

View answer and explanation
Question 17

In the standard for limits and fits, what does the term 'hole basis' signify?

View answer and explanation
Question 18

For a sliding fit with a basic size of 32 mm, the ISO symbol for the hole is 32H7. What does the 'H' represent and what does the '7' represent?

View answer and explanation
Question 19

What is the pressure 'p' generated at the interface of an interference fit a function of?

View answer and explanation
Question 20

When calculating the torque capacity of an interference fit, what value of interference should be used to determine the minimum pressure for a worst-case design scenario?

View answer and explanation
Question 21

What is the recommended material choice for shafts in low-production scenarios where turning is the primary shaping process?

View answer and explanation
Question 22

When are axial stresses on shafts, induced by helical gears or tapered roller bearings, typically considered negligible?

View answer and explanation
Question 23

A shaft with a diameter of 1.625 inches is made of 1020 CD steel with an ultimate strength of 68 kpsi. Using the simplified DE-Goodman criterion where Mm=Ta=0, and given a design factor n=1.5, Kf=1.7, Kfs=1.5, Ma=3651 lbf·in, Tm=3240 lbf·in, and Se=24.5 kpsi, what is the required diameter 'd' based on the initial estimate?

View answer and explanation
Question 24

What is the estimated torsional stress-concentration factor (Kts) for an end-milled keyseat with a typical radius-to-diameter ratio of r/d = 0.02, used for a first design iteration?

View answer and explanation
Question 25

If a shaft has two attachments with individual critical speeds of ω11 = 231.4 rad/s and ω22 = 140.9 rad/s, what is the approximate first critical speed (ω1) of the combined system using Dunkerley's equation?

View answer and explanation
Question 26

How can the effect of the shaft's own mass be included in the calculation for the first critical speed using a modified Dunkerley's equation?

View answer and explanation
Question 27

A standard 1/4-inch socket setscrew with a cup-point is used to secure a hub to a steel shaft. What is the typical holding power (force) that can be expected from this setscrew?

View answer and explanation
Question 28

For a medium drive fit (H7/s6) with a basic hole size of 2 inches, what are the minimum and maximum allowable diameters for the shaft, given a fundamental deviation δF = 0.0017 in and an IT6 tolerance Δd = 0.0006 in?

View answer and explanation
Question 29

What is the key difference in assembly and disassembly considerations between a shaft using shoulders to locate components versus one using retaining rings or sleeves?

View answer and explanation
Question 30

For a solid round shaft with diameter d, subjected to a mean bending moment Mm and a fatigue stress-concentration factor Kf, what is the equation for the mean bending stress σm?

View answer and explanation
Question 31

What is the yielding factor of safety (ny) for a shaft based on the von Mises maximum stress?

View answer and explanation
Question 32

In Example 7-1, a machined shaft of 105 kpsi ultimate strength has a calculated surface factor, ka, of 0.729. If the material were instead hot-rolled, with the same Sut, what would be the new estimated surface factor?

View answer and explanation
Question 33

Which common means of torque transmission allows for large axial motion between the shaft and component while still transmitting torque?

View answer and explanation
Question 34

What is the purpose of using a relief groove, as shown in Figure 7-9, at a shaft shoulder?

View answer and explanation
Question 35

For the shaft in Example 7-2, the total bending moment at point I is 3651 lbf·in and the torque is 3240 lbf·in. The diameter is 1.625 in, Kf = 1.49, and Kfs = 1.30. What is the alternating von Mises stress, σ'_a?

View answer and explanation
Question 36

Why must hot-rolled steel shafts generally be machined all over, while cold-drawn steel shafts may be left unmachined in some areas?

View answer and explanation
Question 37

What is the typical value of the reliability factor, ke, for a reliability goal of 99 percent, according to the provided data?

View answer and explanation
Question 38

In designing a shaft with an interference fit, how are the tangential and radial stresses at the interface combined for failure analysis?

View answer and explanation
Question 39

What is the small end diameter 'd' of a standard taper pin of length L=2 inches, if the large end diameter is D=0.2513 inches?

View answer and explanation
Question 40

For a loose running fit (H11/c11) with a basic size of 34 mm, what are the maximum and minimum diameters for the hole, given an IT11 tolerance grade of 0.160 mm?

View answer and explanation
Question 41

What is the primary reason to prefer cold-drawn over hot-rolled steel for shaft diameters under 3 inches?

View answer and explanation
Question 42

In the DE-SWT criterion for shaft design, Equation (7-14) is given as d = [16n/pi * (A^2 + AB)^(1/2) / Se]^(1/3). What does the term (A^2 + AB)^(1/2) represent?

View answer and explanation
Question 43

A shaft with a 7/8-inch diameter is to be fitted with a square key. According to Table 7-6, what is the standard width 'w' and height 'h' for the key?

View answer and explanation
Question 44

A shaft design requires a shoulder to support a bearing. The initial design results in a high stress concentration at the sharp fillet. Which of the following is NOT a recommended technique shown in Figure 7-9 to reduce this stress concentration?

View answer and explanation
Question 45

What is the key difference between how a shaft with a constant bending moment and a shaft with a constant torque are treated in fatigue analysis?

View answer and explanation
Question 46

When using a failure criterion like DE-Goodman for a shaft, what is the purpose of checking for yielding with a separate calculation like ny = Sy/σ'_max?

View answer and explanation
Question 47

If a shaft design has a calculated diameter of 1.69 inches, and the designer chooses to use a standard size of 1.625 inches, what is the next step in the design process according to Example 7-2?

View answer and explanation
Question 48

According to the analysis in Example 7-2, which location on the shaft was found to be more critical (having a lower factor of safety) than the shoulder at point I?

View answer and explanation
Question 49

What is the torsional stiffness 'k' of a shaft composed of multiple segments in series, in terms of the stiffnesses of the individual segments (ki)?

View answer and explanation
Question 50

For an interference fit between a steel shaft and a steel hub, which equation is used to find the interface pressure 'p'?

View answer and explanation