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A Gear Shaft Transmits Torques TA=975 Nm,TB=1500 NmT_{A}=975 \mathrm{~N} \cdot \mathrm{m}, T_{B}=1500 \mathrm{~N} \cdot \mathrm{m}

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A gear shaft transmits torques TA=975 Nm,TB=1500 NmT_{A}=975 \mathrm{~N} \cdot \mathrm{m}, T_{B}=1500 \mathrm{~N} \cdot \mathrm{m} , TC=650 Nm, and TD=825 NmT_{C}=650 \mathrm{~N} \cdot \mathrm{m}, \text { and } T_{D}=825 \mathrm{~N} \cdot \mathrm{m} . If the allowable shear stress is 50 MPa, the required shaft diameter is approximately: (A) 38 mm 38 \mathrm{~mm}
(B) 44 mm 44 \mathrm{~mm}
(C) 46 mm 46 \mathrm{~mm}
(D) 48 mm 48 \mathrm{~mm}

 A gear shaft transmits torques  T_{A}=975 \mathrm{~N} \cdot \mathrm{m}, T_{B}=1500 \mathrm{~N} \cdot \mathrm{m}  ,  T_{C}=650 \mathrm{~N} \cdot \mathrm{m}, \text { and } T_{D}=825 \mathrm{~N} \cdot \mathrm{m}  . If the allowable shear stress is 50 MPa, the required shaft diameter is approximately: (A)   38 \mathrm{~mm}   (B)   44 \mathrm{~mm}   (C)   46 \mathrm{~mm}   (D)   48 \mathrm{~mm}


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