The figure below shows a gear reduction unit that uses the countershaft. Gear A receives power from another gear with the transmitted force FA = 1500N applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. The designer plans to use a brittle material (gray cast iron) for the design. If a factor of safety of 3 is to be used for the design. Specify a suitable material for this design using the Modified Mohr 1 Theory.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The figure below shows a gear reduction unit that uses the
countershaft. Gear A receives power from another gear with the
transmitted force Fa
150ON applied at the 20° pressure angle as
shown. The power is transmitted through the shaft and delivered
through gear B through a transmitted force FB at the pressure
angle shown. The designer plans to use a brittle material (gray
cast iron) for the design. If a factor of safety of 3 is to be
used for the design. Specify a suitable material for this design
using the Modified Mohr 1 Theory.
400 mm
FB
350 mm
25°
300 mm
FA
20°
500 mm- dia
Gear A,1000mm-dia
B
Gear B, 800mm-dia
Load Analysis (SFD/BMD)
Stress Analysis
I.
I.
I.
Principal Stresses
IV.
Design Region/Theory (Material Determination
Transcribed Image Text:The figure below shows a gear reduction unit that uses the countershaft. Gear A receives power from another gear with the transmitted force Fa 150ON applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. The designer plans to use a brittle material (gray cast iron) for the design. If a factor of safety of 3 is to be used for the design. Specify a suitable material for this design using the Modified Mohr 1 Theory. 400 mm FB 350 mm 25° 300 mm FA 20° 500 mm- dia Gear A,1000mm-dia B Gear B, 800mm-dia Load Analysis (SFD/BMD) Stress Analysis I. I. I. Principal Stresses IV. Design Region/Theory (Material Determination
Typical Properties of Gray Cast Iron
Compressive
Strength
Suc (Kpsi)
Tensile Strength
Sut (KN/m²)
Compressive
Strength
Suc (KN/m²)
ASTM
Tensile
Number
Strength
Sut (Kpsi)
20
22
83
151.69
572.27
25
26
97
179.26
668.79
30
31
109
213.74
751.53
35
36.5
124
251.66
854.95
40
42.5
140
293.03
965.27
50
52.5
164
361.97
1131
60
62.5
187.5
430.92
1292.77
Transcribed Image Text:Typical Properties of Gray Cast Iron Compressive Strength Suc (Kpsi) Tensile Strength Sut (KN/m²) Compressive Strength Suc (KN/m²) ASTM Tensile Number Strength Sut (Kpsi) 20 22 83 151.69 572.27 25 26 97 179.26 668.79 30 31 109 213.74 751.53 35 36.5 124 251.66 854.95 40 42.5 140 293.03 965.27 50 52.5 164 361.97 1131 60 62.5 187.5 430.92 1292.77
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