MAE 454 FINAL EXAM | COMPLETE QUESTIONS WITH EXPERT
SOLUTIONS | 2026 LATEST UPDATED | GET A+
1. In the C10 equation for roller bearings, what does θ represent?: θ - 63% of x
2. explain how you would determine the transverse deflection as a function
of the axial location: y(x): y(x) is given as a polynomial relationship in x or relatively simply loaded
beam configurations in the appendix of Shigley (and most mechanics of materials texts). The relations
are normally piecewise and include the load (F), the geometry (l and I), and material property (E).
3. Explain how you would determine the slope at the two supports of beam: FEA
The slope is found by approximating /5 = 5Q5fQ5etan 5as /5 = 5Q5fQ5e 5for small angles. The y(x)
equation for the beam loading case found in the appendix is differentiated and the numerical value of
x is entered at the given location.
4. Consider a round ductile steel member with a constant axial force, a constant bending moment,
and a constant torque at the critical point. What
type(s) of stress(es) act at the critical point for ?: Axial Tension, Bending, Torsional Shear
5. Equation for Axial Tension: P/A
6. Equation for Bending: Mc/I
7. Equation for Torsional Shear: = 5 /5JG5_
8. Equation for Transverse Shear: F/A
,9. Consider a mild steel shaft with constant axial, bending, and torsional stresses at the critical point.
How would you determine if failure were predicted at this critical point: (1) Draw a FBD, shear,
moment, and torque diagrams. Identify critical point(s).
(2) Determine if problem is static or fatigue.
(3) Determine if the material is ductile or brittle.
(4) Select a failure criteria based on ductile/brittle and static/fatigue conditions.
(5) Identify that this is a multi-axial loading problem and the different loads (axial, bending, torsion,
transverse shear) must be combined. Ductile static, multi-axial use distortion energy.’
(6) Select an appropriate factor of safety based on intended use and compare the calculated stress to
the appropriate strength.
10. What effect does a step in shaft geometry have on stress analysis: Any time there
is a step in a component, a local rise in the stress will occur. This local rise in the stress is
called a stress concentration.
11. How do you reduce the effect of stress concentration in a step geometry: To reduce this effect, a
smooth transition from the smaller diameter to the larger diameter should be made.
12. Difference between failure and fatigue: Failure is a when a component/part no longer functions
according to its intended use.
Fatigue is a specific type of failure where the component/part has been
placed under repeated loading and unloading
13. How do you distinguish between ductile or brittle: elongation value
, < 5% at failure= brittle
>5% = ductile
14. Equations of motion: F_vec= m* a_vec
SUM(T_bar)= T* alpha_bar
15. For the threaded hole designation on a technical drawing, what does the "1/2" represent and what
does the "13" represent?
(1/2- 13): 1/2 - Hole diameter
13- Pitch in threads per in
16. thread type discussed in Chapter 8 that is used in a lead or power screw?: Square or ACME
17. What operating conditions would dictate a coarse pitch thread be used in
place of a fine pitch thread?: General assembly, frequent disassembly, or little to no vibration 18. The
corrected tensile stress concentration factor is given by the equation Kf=1+q(Kt-1).
what is Kt: The Kt value is the nominal or general stress concentration factor as found in the appendix
of Shigley and accounts for many different geometry and material configurations.
19. The corrected tensile stress concentration factor is given by the equation Kf=1+q(Kt-1).
what is Kf: corrected stress concentration value based on the actual size of the geometry under
consideration and the specific material. This correction is accounted for by the notch sensitivity factor
q.
20. Explain how the uncorrected infinite life endurance strength value (Se') is determined
experimentally for a material.: The Se' value is found using a rotating beam
SOLUTIONS | 2026 LATEST UPDATED | GET A+
1. In the C10 equation for roller bearings, what does θ represent?: θ - 63% of x
2. explain how you would determine the transverse deflection as a function
of the axial location: y(x): y(x) is given as a polynomial relationship in x or relatively simply loaded
beam configurations in the appendix of Shigley (and most mechanics of materials texts). The relations
are normally piecewise and include the load (F), the geometry (l and I), and material property (E).
3. Explain how you would determine the slope at the two supports of beam: FEA
The slope is found by approximating /5 = 5Q5fQ5etan 5as /5 = 5Q5fQ5e 5for small angles. The y(x)
equation for the beam loading case found in the appendix is differentiated and the numerical value of
x is entered at the given location.
4. Consider a round ductile steel member with a constant axial force, a constant bending moment,
and a constant torque at the critical point. What
type(s) of stress(es) act at the critical point for ?: Axial Tension, Bending, Torsional Shear
5. Equation for Axial Tension: P/A
6. Equation for Bending: Mc/I
7. Equation for Torsional Shear: = 5 /5JG5_
8. Equation for Transverse Shear: F/A
,9. Consider a mild steel shaft with constant axial, bending, and torsional stresses at the critical point.
How would you determine if failure were predicted at this critical point: (1) Draw a FBD, shear,
moment, and torque diagrams. Identify critical point(s).
(2) Determine if problem is static or fatigue.
(3) Determine if the material is ductile or brittle.
(4) Select a failure criteria based on ductile/brittle and static/fatigue conditions.
(5) Identify that this is a multi-axial loading problem and the different loads (axial, bending, torsion,
transverse shear) must be combined. Ductile static, multi-axial use distortion energy.’
(6) Select an appropriate factor of safety based on intended use and compare the calculated stress to
the appropriate strength.
10. What effect does a step in shaft geometry have on stress analysis: Any time there
is a step in a component, a local rise in the stress will occur. This local rise in the stress is
called a stress concentration.
11. How do you reduce the effect of stress concentration in a step geometry: To reduce this effect, a
smooth transition from the smaller diameter to the larger diameter should be made.
12. Difference between failure and fatigue: Failure is a when a component/part no longer functions
according to its intended use.
Fatigue is a specific type of failure where the component/part has been
placed under repeated loading and unloading
13. How do you distinguish between ductile or brittle: elongation value
, < 5% at failure= brittle
>5% = ductile
14. Equations of motion: F_vec= m* a_vec
SUM(T_bar)= T* alpha_bar
15. For the threaded hole designation on a technical drawing, what does the "1/2" represent and what
does the "13" represent?
(1/2- 13): 1/2 - Hole diameter
13- Pitch in threads per in
16. thread type discussed in Chapter 8 that is used in a lead or power screw?: Square or ACME
17. What operating conditions would dictate a coarse pitch thread be used in
place of a fine pitch thread?: General assembly, frequent disassembly, or little to no vibration 18. The
corrected tensile stress concentration factor is given by the equation Kf=1+q(Kt-1).
what is Kt: The Kt value is the nominal or general stress concentration factor as found in the appendix
of Shigley and accounts for many different geometry and material configurations.
19. The corrected tensile stress concentration factor is given by the equation Kf=1+q(Kt-1).
what is Kf: corrected stress concentration value based on the actual size of the geometry under
consideration and the specific material. This correction is accounted for by the notch sensitivity factor
q.
20. Explain how the uncorrected infinite life endurance strength value (Se') is determined
experimentally for a material.: The Se' value is found using a rotating beam
