Question

10.14 A pair of gears for a hoist have the following specifications: 20° full-depth involute teeth; o. pinion = 80 MPa; o. gear = 55 MPa; pinion has 20 teeth; gear has 80 teeth; and pinion transmits 5 kW at 200 r/min. Determine (a) the standard module and face width which will satisfy these conditions; and (b) whether the design is safe from the standpoint of strength if the dynamic load for the gears is 6.9 kN. (c) Check the design for wear, K = 1350 kPa.

          10.14 A pair of gears for a hoist have the following specifications: 20° full-depth involute teeth; o. pinion = 80 MPa; o. gear = 55 MPa; pinion has 20 teeth; gear has 80 teeth; and pinion transmits 5 kW at 200 r/min. Determine (a) the standard module and face width which will satisfy these conditions; and (b) whether the design is safe from the standpoint of strength if the dynamic load for the gears is 6.9 kN. (c) Check the design for wear, K = 1350 kPa.
        
Show more…

Added by Michael V.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
10.14 A pair of gears for a hoist have the following specifications: 20° full-depth involute teeth; o. pinion = 80 MPa; o. gear = 55 MPa; pinion has 20 teeth; gear has 80 teeth; and pinion transmits 5 kW at 200 r/min. Determine (a) the standard module and face width which will satisfy these conditions; and (b) whether the design is safe from the standpoint of strength if the dynamic load for the gears is 6.9 kN. (c) Check the design for wear, K = 1350 kPa.
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn Kathleen Carty
Jennifer Stoner verified

Supreeta N and 84 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
a-pair-of-helical-gears-consist-of-a-20-teeth-pinion-meshing-with-a-100-teeth-gear-the-pinion-rotates-at-720-rpm-the-normal-pressure-angle-is-20-while-the-helix-angle-is-25-the-face-width-is-56239

A pair of helical gears consist of a 20 teeth pinion meshing with a 100 teeth gear. The pinion rotates at 720 r.p.m. The normal pressure angle is 20° while the helix angle is 25°. The face width is 40 mm and the normal module is 4 mm. The pinion as well as gear are made of steel having ultimate strength of 600 MPa and heat treated to a surface hardness of 300 B.H.N. The service factor and factor of safety are 1.5 and 2 respectively. Assume that the velocity factor accounts for the dynamic load and calculate the power transmitting capacity of the gears

Supreeta N.

machine-design-ii-3-a-pair-of-straight-teeth-spur-gears-is-to-transmit-20-kw-when-the-pinion-rotates-at-300-rpm-the-velocity-ratio-is-3-the-allowable-static-stresses-for-the-pinion-and-gear-16258

A pair of straight teeth spur gears is to transmit 20 kW when the pinion rotates at 300 r.p.m. The velocity ratio is 3. The allowable static stresses for the pinion and gear materials are 120 MPa and 100 MPa respectively. The pinion has 15 teeth and its face width is 14 times the module. Determine: a) module; b) face width; and c) pitch circle diameters of both the pinion and the gear from the standpoint of strength only, taking into consideration the effect of the dynamic loading. The tooth form factor y can be taken as 0.154 - 0.912 / No. of teeth, and the velocity factor Cv as 3 / (3 + v)

Adi S.

a-pair-of-20o-full-depth-involute-teeth-bevel-gears-connect-two-shafts-at-right-angles-having-velocity-ratio-3-1-the-gear-is-made-of-cast-iron-having-allowable-static-stress-as-70-mpa-and-th-75376

A pair of 20º full-depth involute teeth bevel gears connect two shafts at right angles, having a velocity ratio of 3:1. The gear is made of cast iron, with an allowable static stress of 70 MPa, and the 20-tooth pinion is made of steel, with an allowable static stress of 100 MPa and a hardness of 200 BHN. The pinion works at 750 rpm. Determine the maximum power that can be transmitted by the gears if the module is 10 mm. Kf = 1.4.

Sri K.


*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,680 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,314 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,639 solutions

*

Transcript

-
00:01 Hi, in this question we are given with a, so we have to find the gear diameter given the, given the number of, so number of gear teeth, so which is equal to, so this is 4 into 20 which is equal to 80 millimeter and we have to find the pitch diameter of the gear.
00:21 So, pitch diameter of the gear is given by d2 which is equal to 4 into t2.
00:27 So, t2 is the, so t2 is the meshing teeth which is equal to 4 into 100 that is equal to 400 millimeter or 400 meter.
00:39 Then we have, so then we have, so this is the value of d1, then we can write the gear ratio as, so gear ratio can be written as it is n1 by, so n2 by n1 is equal to t1 by t2.
00:55 So, we can write it as, so n2 will be the number of revolutions of the minor gear which is equal to t1 by t2 into n1.
01:06 So, we have this is 20 by 70 into 720 rpm.
01:11 So, we have n2 is equal to 144 rpm.
01:15 Now we have to find the, so now we can find the maximum permissible strength of the gear.
01:20 So, the permissible strength of the gear is given by, so permissible, so permissible strength of gear, so it is given by 600 divided by 2 which is equal to 300 newton per millimeter...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever