Name: sizing a solid power transmission shaft
Uploaded: 2024-05-23T12:59:58.000Z
Duration: 1 min 9 s
Channel: JoVE

A solid shaft rotates, transmitting power from the motor to a machine tool connected to the gear. Given the allowable shearing stress, calculate the smallest possible diameter of the solid shaft.
First, calculate the torque exerted on the gear using the shaft revolution and power transmission values.
The corresponding tangential forces acting on the gears are computed using the torque.
The bending moment diagrams determine the bending moment values for forces acting on the horizontal and vertical planes.
At all potentially critical transverse sections, calculate the square root of the sum of squares of bending moments, and torsion.
Obtain the polar moment ratio by substituting the known and computed values into the relation that equates shearing stress with the polar moment ratio and the maximum value derived from the square root of the sum of the squares of bending moments and torsion.
Finally, determine the shaft&#39;s radius and the smallest permissible diameter using the polar moment ratio value.

transmissieassen: probleemoplossing

<div>
 Het ontwerpen van een massieve as die het vermogen van een motor naar een werktuigmachine overbrengt, omvat een reeks berekeningen om ervoor te zorgen dat de as bestand is tegen de spanningen die worden uitgeoefend door buigmomenten en koppels. Bereken eerst het koppel dat op het tandwiel wordt uitgeoefend, rekening houdend met het vermogen dat door de as wordt overgebracht en de rotatiesnelheid ervan. Bereken daarna de tangentiële krachten die op de tandwielen inwerken, die rechtstreeks verband houden met het koppel en de tandwielradius.
 
 Gebruik vervolgens buigmomentdiagrammen voor de as om de buigmomentwaarden te identificeren als gevolg van krachten die in horizontale en verticale vlakken werken. Bepaal bij potentieel kritische dwarsdoorsneden van de as de gecombineerde spanningen van deze buigmomenten en torsie door de vierkantswortel te berekenen van de som van de kwadraten van deze waarden. Deze analyse helpt bij het beoordelen of de as de spanning aankan zonder te falen. Bereken vervolgens het polaire traagheidsmoment, dat cruciaal is voor het koppelen van schuifspanning aan torsie- en buigmomenten.
 
 <img alt="Equation 1" src="/files/ftp_upload/15664/15664_Equation_1.svg" style="text-align: center; height: 58px;">
 Deze berekening verifieert het vermogen van de as om de uitgeoefende krachten te weerstaan. Bereken ten slotte de minimaal vereiste diameter van de as op basis van het polaire traagheidsmoment, zodat deze de berekende spanningen kan weerstaan ​​met minimaal materiaalgebruik en tegelijkertijd voldoet aan de veiligheids- en prestatienormen.
 
</div>

Transmissieassen: probleemoplossing

A solid shaft rotates, transmitting power from the motor to a machine tool connected to the gear. Given the allowable shearing stress, calculate the ...

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Mechanical Engineering

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Unit 1

Principal Stresses under a Given Loading

Hoofdspanningen onder een gegeven belasting

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Transmission Shafts: Problem Solving

sizing a solid power transmission shaft

A solid power transmission shaft must be sized so it can carry both torque and bending loads. In this problem, the shaft connects a motor to a machine tool through a gear, so the design must resist the stress created by rotation and force transfer.

The first step is to calculate the torque on the gear. This uses the power carried by the shaft and its rotational speed. The tangential force on the gear is then found from the torque and the gear radius.

Next, bending moment diagrams are used for the shaft. These diagrams show the bending moments produced by forces in the horizontal and vertical planes. At critical transverse sections of the shaft, the bending and torsional stresses are combined by taking the square root of the sum of the squares of these values.

That combined-stress check helps show whether the shaft can resist failure under the applied loading. The polar moment of inertia is then calculated. This value links shear stress with torsion and bending moments and is used to verify the shaft’s strength.

The final step is to find the minimum required shaft diameter from the polar moment of inertia. This gives a solid shaft size that can handle the calculated stresses while using as little material as possible. The design must still meet safety and performance standards.

Sizing a Solid Power Transmission Shaft

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transmission shafts: problem solving

A solid power transmission shaft must be sized so it can carry both torque and bending loads. In this problem, the shaft connects a motor to a machine tool through a gear, so the design must resist the stress created by rotation and force transfer. The first step is to calculate the torque on the gear. This uses the power carried by the shaft and its rotational speed. The tangential force on the gear is then found from the torque and the gear radius. Next, bending moment diagrams are used for...

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key terms and concepts

Learn how a solid transmission shaft is sized by calculating torque, tangential force, bending moments, combined stress, and minimum diameter for safe design.

Sizing a Solid Power Transmission Shaft | JoVE K12

JoVE Core Mechanical Engineering offers concise, easy-to-understand animated videos covering key topics such as equilibrium, forces, truss analysis, and structural mechanics. Explore their real-world applications, and witness these concepts in action through scientist-led experiments.

mechanical engineering

Sizing a Solid Power Transmission Shaft

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