Problem 5: At times in design, you would like to ensure that failure occurs in a specific part. For instance, in watch designs many components are stacked on top of one another due to the small space requirements. In this case if failure must occur, it is best that it happens in a gear that is easy to access. Using the maximum shear stress theory and only the stresses related to bending, determine the safety factors of the teeth on gears A, B, and C below. Each tooth can be assumed to be a rectangular cantilever beam with a point force at the end, the force can be determined using Torque = F xr. Gear A Torque on Shaft Gear Radius Tooth Length Tooth Height Tooth Thickness Gear A 10 N-mm 8.0 mm 1.5 mm 1.5 mm 0.5 mm Gear B Gear B 8 N-mm 3.0 mm 2.0 mm 1.5 mm 0.5 mm Gear C Gear C 6 N-mm 5.0 mm 1.5 mm 2.0 mm 0.8 mm Gear D Gear D 30 N-mm 10.0 mm 1.5 mm 1.5 mm Solve Material: Steel E =200 GPa Sy = 250 MPa

Problem 5: At times in design, you would like to ensure that failure occurs in a specific part. For instance, in watch designs many components are stacked on top of one another due to the small space requirements. In this case if failure must occur, it is best that it happens in a gear that is easy to access. Using the maximum shear stress theory and only the stresses related to bending, determine the safety factors of the teeth on gears A, B, and C below. Each tooth can be assumed to be a rectangular cantilever beam with a point force at the end, the force can be determined using Torque = F xr. Gear A Torque on Shaft Gear Radius Tooth Length Tooth Height Tooth Thickness Gear A 10 N-mm 8.0 mm 1.5 mm 1.5 mm 0.5 mm Gear B Gear B 8 N-mm 3.0 mm 2.0 mm 1.5 mm 0.5 mm Gear C Gear C 6 N-mm 5.0 mm 1.5 mm 2.0 mm 0.8 mm Gear D Gear D 30 N-mm 10.0 mm 1.5 mm 1.5 mm Solve Material: Steel E =200 GPa Sy = 250 MPa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A steel shaft of 2.5 inch diameter rotates at 500 rev/min and transmits 120 hp through a gear.…

Q: The shaft below is an engine component that is rotating. It is machined from an unknown ductile…

A: Solution: Given Data: Sut=900 MPaR=0.99f=0.9d=0.1 m

Q: 1-69.M Figure P1-69 shows a bolt subjected to a tensile load. One failure mode would be if the…

A: Given:Tensile load, P = 22.3 kN or 22300 NDiameter of circular shank, d = 12 mmHeight of the head, h…

Q: C. The thick wall theory also applies to wheel-shaft assemblies where a contact pressure induced on…

A: Given: Contact pressure, p= 100 MPa Wheel outer diameter, D = 1200 mm Shaft diameter, d = 200 mm…

Q: The Shaft That Failed A single diameter shaft, having no steps or shoulders, drives a machine with a…

A: As it is mentioned in the problem itself, the belt driving the pulley causes considerably high side…

Q: A single stage spur gear gearbox has a module of 1.5mm and an input speed of 1500.p.m. and a pinion…

A: For the given yield stress and materials,Consider the velocity factor and service factor to be, .

Q: Please answer the below The required formulas are attached

A: Step 1: Given Gs=75MPa.Gb=40MPa.db=90mmNow let the length of the lever at B is 'l' so, the torque…

Q: The shaft below is an engine component that is rotating. It is machined from an unknown ductile…

A: Calculate the maximum bending moment. MB=55.50.5=27.75 kNm

Q: If a pinion having 20 teeth transmit the power to the gear shaft having 40 teeth, the gear ratio of…

A: If a pinion having 20 teeth transmit the power to the gear shaft having 40 teeth, the gear ratio of…

Q: A motor transmits 40 hp to an air conditioning apparatus by means of a roller chain. The motor runs…

A: If you have any doubts feel free to ask.... Thankyou

Q: 353 MPa respectively. Taking a factor of safety 3, select a suitable key for the gear. Assume that…

A: Given that: d = diameter of the shaft = 25 mm N = 600 rpm P = 30 kW St = 650 MPa Syt = 353 MPa F = 3…

Q: A pair of iron cast gears connecting two shafts at the Angle of the elbow. The diameter of the…

A: pitch diaDG=100mm=0.1mDP=80mm=0.08mϕ=14.5°σOP=55MPaσOG=55MPaP=2.75kWεP=εG=84kN/mm2

Q: PROBLEM 2 As an Engineer, you have been tasked by your superiors to determine the shear stress and…

A: Find the angle of twist in AB and BC section of shaft. Find shear stress in AB and BC section of the…

Q: The small gear of an internal gear train shown in the figure is powered by a 500-kW motor at 30 Hz.…

A: Given data:

Q: 03/ The manually - operated hoist shown in figure (13) is based on an epicyclic gear train. The sun…

A: Given: The number of teeth on annulus, Za = 90 The tangential force on handle = 25 x load lifted

Q: A motor supplies 173 hp at 650 rpm to flange A of the shaft. Gear B transfers 75 hp of power to…

Q: QUESTION 7 According to AGMA standards, contact stress numbers of pitting resistance for different…

A: equation a:st=CpWtKoKsKmKvFDpIequation b: st=CpWtKoKmKvCsCxcFDpIWhere,Wt=tangential loadF=Face…

Q: Fill the blank: 1) In fatigue failure analysis, regarding S-N diagram, S stands for........ and N…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Calculate the shaft diameter necessary to support a combined maximum bending moment of 2000 Nm, and…

Q: A gear transmits 560 N of torque to a circular shaft having a diameter of 58 mm. A square key 13 mm…

A: Given Data The diameter of the shaft is: d=58 mm The torque transmitted by the gear is: T=560 N·mm…

Q: The shaft below is an engine component that is rotating. It is machined from an unknown ductile…

A: Solution: Given Data: Sut=900 MPaR=0.99f=0.9

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Problem 5: At times in design, you would like to ensure
that failure occurs in a specific part. For instance, in watch
designs many components are stacked on top of one another
due to the small space requirements. In this case if failure
must occur, it is best that it happens in a gear that is easy to
access.
Using the maximum shear stress theory and only the stresses
related to bending, determine the safety factors of the teeth
on gears A, B, and C below. Each tooth can be assumed to
be a rectangular cantilever beam with a point force at the
end, the force can be determined using Torque = F x r.
0000
Gear B
Gear C
Gear A
Torque on Shaft
Gear Radius
Tooth Length
Tooth Height
Tooth Thickness
Gear A
10 N-mm
8.0 mm
1.5 mm
1.5 mm
0.5 mm
Gear B
8 N-mm
3.0 mm
2.0 mm
1.5 mm
0.5 mm
Gear C
6 N-mm
5.0 mm
1.5 mm
2.0 mm
0.8 mm
Gear D
Gear D
30 N-mm
10.0 mm
1.5 mm
1.5 mm
Solve
Material: Steel
E =200 GPa
Sy = 250 MPa

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Please summarise the answers for this question for i and ii as it looks too long
The minimum required length of a key for a gear carrying 20000 lb.in of torque if it is mounted on a 3.75 in diameter shaft is most likely: Consider SAE 1018 as the key material. 1.20 3.5 1.53 1.45
The minimum required length of a key for a gear carrying 20000 lb.in of torque if it is mounted on a 3.5 in diameter shaft is most likely: Consider SAE 1018 as the key material. 1.29 3.5 1.53 1.45
If in a gear design problem, the required hardness of steels per allowable gear bending strength is: HB = 158; while the required hardness of steels per allowable gear contact strength is: HB = 256. Which material HB hardness will be used for gear material specification? 256 158 120 400
4. A small race car has an aluminum hub (shown in red). The drive axle is press-fit into the hub, resulting in compressive pressure and torsional friction as shown below when the wheel is powered. Assuming a coefficient of static friction of 0.3 and a shear yield strength of 30 ksi for the shaft, determine the maximum allowed contact pressure, p (in psi). In other words, how much contact pressure (and resulting torque) would cause yielding of the shaft? Given: d=0.75in, w=1.5in f: Friction force per unit area p: Normal force per unit area
A motor supplies 173 hp at 650 rpm to flange A of the shaft. Gear B transfers 75 hp of power to operating machinery in the factory, and the remaining power in the shaft is transferred by gear D. Shafts (1) and (2) are solid aluminum [G = 4400 ksi] shafts that have the same diameter and an allowable shear stress of T = 5.8 ksi. Shaft (3) is a solid steel [G=9100 ksi] shaft with an allowable shear stress of T = 10.2 ksi. Assume that L₁=2.3 ft, L₂=1.2 ft, L3-2.9 ft. Determine: (a) the minimum permissible diameter d₁=d₂ for aluminum shafts (1) and (2). (b) the minimum permissible diameter d3 for steel shaft (3). (c) the rotation angle D/A of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b). Answers: (a) d₁=d₂ = i (b) d3= i (c) & DIA = i (1) L₁ TB. B (2) L2 in. in. o' (3) L3 Tp Mommu D
A single block brake is shown in the figure. The diameter of the drum is 250 mm and the angle of contact is 103.7°. If the operating force of 661N is applied at the end of a lever and the coefficient of friction between the drum and the lining is 0.35, determine: a. The tangential braking force, Ft, in Newtons b. The braking the torque transmitted by the block brake in N-m.
1.Please design a pair of spur gears in the milling machine. It is known that power input is 7.5kW, Ni 1450r /min, and the %3D transmission ratio is required to be u = 2.08. F1. If there is slight impact, the supplementary conditions for trial design of this pair of gears: primary selection k = 1.8, number of smaller gear teeth Z1 = 26. The allowable stress and factors for material %3D is: [0]= 600 MPa, [o„]z= 599 MPa, [0,]ı= 220 MPa, [0,]= 213 MPa. E=1.693, Z, =1898/mpa Z„ = 2.5 K =1.25 Ky =1.1 K K =1.2 На K =1.35 Y =2.65, Y = 2.28 Y =1.58 Y =1.76 %3D Fa2 Fal sa1
B) A simply supported shaft is shown in the following Figure. A constant magnitude distributed unit load p is applied as the shaft rotates. The shaft is also subject to a steady torque of Tmax 2000-N -m., find the diameter of shaft required to obtain a safety factor of 2.5 in fatigue loading if the shaft is steel of Sut 814 MPa and Sy 703 MPa. The dimensions are in cm, the distributed force in N/cm, and the torque is in N-m. No stress concentrations are present, the shaft is machined, the required reliability is 90%, and the shaft operates at room temperature Figure: 1= 20-cm: b = 18-cm ; a = 16 cm Applied distributed load p:= 1000 N em ; 区区
HW12 The gearing of a machine tool is shown in the Figure below. The motor shaft is connected to gear A and rotates at 1500 r.p.m. The gear wheels B, C, D and E are fixed to parallel shafts rotating together. The final gear F is fixed on the output shaft. Fined: 1-the speed of gear F 2- rotating speed of gears (B, C, D and E) The number of teeth on each gear are as given below: Gear A B C D E F No. of teeth 25 35 90 30 80 60 + A B E+ D F LL
Torque in = 40nm Holding torque out = 896nm 8.Using your answers from the gear box above, and given that the input shaft has a diameter of 12 mm and the output shaft has a diameter of 15 mm, both shafts are made from aluminium. When this transmission system was operated, it failed. Identify the position where the failure occurred and the reason for this failure. Suggests improvements to the system to overcome the failure mode. The shear strength of aluminium is 207 MPa.
Please answer quick. Thanks