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Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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5. A 5-m steel shaft rotating at 2 Hz has 70 kW applied at a gear that is 2 m from the left end where
20 kW are removed. At the right end, 30 kW are removed and another 20 kW leaves the shaft at 1.5
m from the right end. (a) Find the uniform shaft diameter so that the shearing stress will not
exceed 60 MPa. (b) If a uniform shaft diameter of 100 mm is specified, determine the angle by
which one end of the shaft lags behind the other end. Use G = 83 GPa
6
A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two
torques as shown in figure below. Determine the maximum permissible value of T subject to the
following conditions Tst s 83 MPa, tals 55 MPa and the angle of rotation of the free end is limited
to 6*. For steel, G = 83 GPa and for aluminum, G = 28 GPa.
Steel
50 mm Ø
|||
900 mm
2T Aluminum
40 mm Ø
Hollow Bronze
D-3 ind-2 in
** ** ...| ...| 29%-
600 mm
7. A hollow bronze shaft of 3 in outer diameter and 2 in. inner diameter is slipped over a solid steel
shaft 2 in. in diameter and of the same length as the hollow shaft. The two shafts are then
fastened rigidly together at their ends. For bronze, G = 6 x 106 psi, and for steel, G = 12 * 106 psi.
What torque can be applied to the composite shaft without exceeding a shearing stress of 8000
psi in the bronze or 12 ksi in the steel?
O
(20)
Steel Core
D-2 in
Share
•
Ⓒ
e
?
>
Transcribed Image Text:6 5:03 M docs.google.com/draw Finals 2 Saved to Drive File Edit View Tools Help Last edit was made yesterday at 11:43 PM by Noel Amatong View only. 5. A 5-m steel shaft rotating at 2 Hz has 70 kW applied at a gear that is 2 m from the left end where 20 kW are removed. At the right end, 30 kW are removed and another 20 kW leaves the shaft at 1.5 m from the right end. (a) Find the uniform shaft diameter so that the shearing stress will not exceed 60 MPa. (b) If a uniform shaft diameter of 100 mm is specified, determine the angle by which one end of the shaft lags behind the other end. Use G = 83 GPa 6 A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown in figure below. Determine the maximum permissible value of T subject to the following conditions Tst s 83 MPa, tals 55 MPa and the angle of rotation of the free end is limited to 6*. For steel, G = 83 GPa and for aluminum, G = 28 GPa. Steel 50 mm Ø ||| 900 mm 2T Aluminum 40 mm Ø Hollow Bronze D-3 ind-2 in ** ** ...| ...| 29%- 600 mm 7. A hollow bronze shaft of 3 in outer diameter and 2 in. inner diameter is slipped over a solid steel shaft 2 in. in diameter and of the same length as the hollow shaft. The two shafts are then fastened rigidly together at their ends. For bronze, G = 6 x 106 psi, and for steel, G = 12 * 106 psi. What torque can be applied to the composite shaft without exceeding a shearing stress of 8000 psi in the bronze or 12 ksi in the steel? O (20) Steel Core D-2 in Share • Ⓒ e ? >
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