Shaft Sizing: Calculating σmax from 1045 UTS/YTS

In summary, shaft sizing is the process of determining the appropriate dimensions for a shaft based on material properties, loading conditions, and design requirements. It is important to avoid failure or unnecessary weight and cost. σmax, the maximum stress a material can withstand before failure, is calculated using the ultimate tensile strength (UTS) and yield tensile strength (YTS) of 1045 steel, commonly used in shafts. The formula for calculating σmax is σmax = 0.5 * (UTS + YTS). Several factors can affect σmax, including material defects, surface finish, temperature, and loading conditions, so it is important to carefully consider these when calculating. To ensure accuracy and reliability, it is recommended to
  • #1
DADDYJ
2
0
Attempting to use the formula:
D = 1.72 (Tmax/σmax)^1/3

In my case I do not know σmax or at least how to calculate it from material properties.
Material is 1045
UTS 84800
YTS 74300
Tmax = 591.55 in-lbs

D = 1.72 (Tmax/σmax)^1/3

Any help would be appreciated.

Regards
 
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  • #2
As a very rough pass, you can use your yield strength as [tex]\sigma_{max}[/tex]. Your equation is essentially assuming a set relationship for ductile materials and the relationship between shear stresses and normal stresses. This is for static, pure shear only.
 

What is shaft sizing and why is it important?

Shaft sizing is the process of determining the appropriate dimensions for a shaft based on the material properties, loading conditions, and design requirements. It is important because an undersized shaft can lead to failure and an oversized shaft can result in unnecessary weight and cost.

What is σmax and how is it related to 1045 UTS/YTS?

σmax, also known as maximum stress, is the highest stress that a material can withstand before it fails. 1045 UTS/YTS refers to the ultimate tensile strength and yield tensile strength of a specific type of steel, 1045, which is commonly used in shafts. σmax is calculated using these values to ensure that the shaft can withstand the expected loads without failure.

How is σmax calculated for 1045 UTS/YTS?

The formula for calculating σmax is σmax = 0.5 * (UTS + YTS). For example, if the UTS of 1045 steel is 90,000 psi and the YTS is 70,000 psi, then the calculated σmax would be 80,000 psi.

What are the factors that can affect σmax for 1045 UTS/YTS?

There are several factors that can affect σmax for 1045 UTS/YTS, including material defects, surface finish, temperature, and loading conditions. These factors should be carefully considered when calculating σmax to ensure accuracy.

How can I ensure that my calculated σmax is accurate and reliable?

To ensure accuracy and reliability, it is important to use accurate and up-to-date values for 1045 UTS/YTS, carefully consider all factors that can affect σmax, and double-check all calculations. It is also recommended to consult with a materials engineer or use a specialized software for calculating σmax.

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