The gearbox on a rotary mower driven by a tractor PTO (see the following figure) is protected from torque "overload" by a "shear pin" (i.e. if too much torque is applied to the PTO shaft, the pin will "shear" and the transfer of torque to the mower gearbox will cease.). Given the mower gearbox is rated for a maximum of 60 hp at a rotational speed of 540 rpm and the input shaft on the gearbox has a diameter of 1.25 inches, determine the largest acceptable diameter for the "shear pin". The "shear pin" has a circular cross-section, and is made from steel that can withstand a maximum allowable shear stress level of Tallow = 26 kst. (Hint: Use the "Direct Shear" model.) Gearbox 1.25" Dia Shaft Mower Deck Shear Pin PTO Shaft

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The gearbox on a rotary mower driven by a tractor PTO (see the following figure) is protected from torque
"overload" by a "shear pin" (i.e. if too much torque is applied to the PTO shaft, the pin will "shear" and the
transfer of torque to the mower gearbox will cease.). Given the mower gearbox is rated for a maximum of 60
hp at a rotational speed of 540 rpm and the input shaft on the gearbox has a diameter of 1.25 inches, determine
the largest acceptable diameter for the "shear pin". The "shear pin" has a circular cross-section, and is made
from steel that can withstand a maximum allowable shear stress level of Tallow = 26 ksi. (Hint: Use the "Direct
Shear" model.)
Gearbox
1.2.5" Dia Shaft
Mower Deck
Shear Pin
PTO Shaft
Ans. din = 0.5238in
Transcribed Image Text:The gearbox on a rotary mower driven by a tractor PTO (see the following figure) is protected from torque "overload" by a "shear pin" (i.e. if too much torque is applied to the PTO shaft, the pin will "shear" and the transfer of torque to the mower gearbox will cease.). Given the mower gearbox is rated for a maximum of 60 hp at a rotational speed of 540 rpm and the input shaft on the gearbox has a diameter of 1.25 inches, determine the largest acceptable diameter for the "shear pin". The "shear pin" has a circular cross-section, and is made from steel that can withstand a maximum allowable shear stress level of Tallow = 26 ksi. (Hint: Use the "Direct Shear" model.) Gearbox 1.2.5" Dia Shaft Mower Deck Shear Pin PTO Shaft Ans. din = 0.5238in
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