TORSION PROBLEM 5/15/08 Name Find 2 or 3 people in your major to work with. List their names and majors below: Name Name Major Major Name Name Major Major Major The mechanism shown is composed of a 30 inch long shaft and a plate. The plate is welded into the side of the shaft. The mechanism rotates and pushes down on a plunger. The plunger exerts a constant vertical force of 4000 pounds on the plate. MOTOR PLATE SHAFT ROTATION SHAFT 30in PLUNGER Gin The mechanism is composed of two materials: PLUNGER MOTION G Max. Allow. Shear Shaft Material 2X106 PSI 5000 PSI Plate Material: The plate material can withstand up to a 10,000 pound load without any significant bending or failure. The motor rotates its end of the shaft at 0.27500 radians per second. The plate must depress the plunger at least 3.464 inches in two seconds (what does this say about the maximum angle the shaft can twist?). After the plunger is depressed, the plate returns to the horizontal position. + 3.464m Your job is to: 1. Find the minimum diameter of a solid shaft that will work. 2. Determine the hole size that could be used on a hollow shaft of outer diameter = 4.0". 3. Compare the amount of material used for cases one and two, and determine which case uses material more efficiently. Solid MOST Hollow EFFICIENT Assume that shafts and holes come in 1/8" increments, round your answers to 1/8"
TORSION PROBLEM 5/15/08 Name Find 2 or 3 people in your major to work with. List their names and majors below: Name Name Major Major Name Name Major Major Major The mechanism shown is composed of a 30 inch long shaft and a plate. The plate is welded into the side of the shaft. The mechanism rotates and pushes down on a plunger. The plunger exerts a constant vertical force of 4000 pounds on the plate. MOTOR PLATE SHAFT ROTATION SHAFT 30in PLUNGER Gin The mechanism is composed of two materials: PLUNGER MOTION G Max. Allow. Shear Shaft Material 2X106 PSI 5000 PSI Plate Material: The plate material can withstand up to a 10,000 pound load without any significant bending or failure. The motor rotates its end of the shaft at 0.27500 radians per second. The plate must depress the plunger at least 3.464 inches in two seconds (what does this say about the maximum angle the shaft can twist?). After the plunger is depressed, the plate returns to the horizontal position. + 3.464m Your job is to: 1. Find the minimum diameter of a solid shaft that will work. 2. Determine the hole size that could be used on a hollow shaft of outer diameter = 4.0". 3. Compare the amount of material used for cases one and two, and determine which case uses material more efficiently. Solid MOST Hollow EFFICIENT Assume that shafts and holes come in 1/8" increments, round your answers to 1/8"
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:TORSION PROBLEM
5/15/08
Name
Find 2 or 3 people in your major to work with. List their names and majors below:
Name
Name
Major
Major
Name
Name
Major
Major
Major
The mechanism shown is composed of a 30 inch long shaft and a plate. The plate is
welded into the side of the shaft. The mechanism rotates and pushes down on a plunger.
The plunger exerts a constant vertical force of 4000 pounds on the plate.
MOTOR
PLATE
SHAFT
ROTATION
SHAFT
30in
PLUNGER
Gin
The mechanism is composed of two materials:
PLUNGER
MOTION
G
Max. Allow. Shear
Shaft Material
2X106 PSI 5000 PSI
Plate Material: The plate material can withstand up to a 10,000 pound load without any
significant bending or failure.
The motor rotates its end of the shaft at 0.27500 radians per second. The plate must
depress the plunger at least 3.464 inches in two seconds (what does this say about the
maximum angle the shaft can twist?). After the plunger is depressed, the plate returns to
the horizontal position.
+
3.464m
Your job is to:
1. Find the minimum diameter of a solid shaft that will work.
2. Determine the hole size that could be used on a hollow shaft of outer diameter = 4.0".
3. Compare the amount of material used for cases one and two, and determine which
case uses material more efficiently.
Solid
MOST
Hollow
EFFICIENT
Assume that shafts and holes come in 1/8" increments, round your answers to 1/8"
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