Consider a solid circular shaft fixed at one end and free at the other end with a concentrated torque applied at the free end. Which of the following will result in a decrease in the maximum shear stress in the rod? A.Applying the torque at the mid-length of the rod instead of at the free end B.Increasing the diameter of the rod C.Using a hollow cylinder instead of a solid rod D.Using a material with a higher modulus of rigidity A hollow shaft has inner and outer diameters of 4 cm and 6 cm, respectively. Knowing that the shear stress at yield is 120 MPa, for a factor of safety of 2, what is the magnitude of the maximum torque that can be transmitted? A.16.3 kNm B.2.04 kNm C.4.08 kNm D.1.02 kNm A solid 200-mm long, 40-mm diameter circular shaft has a modulus of rigidity of 70 GPa and is fixed at one end and is free at the other. A torque with magnitude 200 N-m is applied at the free end. Which of the following is closest to the magnitude of the shear strain (in rad) at point B? B A.2.27 x 10-4 B.4.45 x 104 B C.2.82 x 104 D.1.42 x 10-4 Which of the following is closest to the 40 mm C magnitude of the shear stress (in MPa) at point B? A.19.8 B.9.96 C.31.8 D.15.9 200 mm 200 Nm
Consider a solid circular shaft fixed at one end and free at the other end with a concentrated torque applied at the free end. Which of the following will result in a decrease in the maximum shear stress in the rod? A.Applying the torque at the mid-length of the rod instead of at the free end B.Increasing the diameter of the rod C.Using a hollow cylinder instead of a solid rod D.Using a material with a higher modulus of rigidity A hollow shaft has inner and outer diameters of 4 cm and 6 cm, respectively. Knowing that the shear stress at yield is 120 MPa, for a factor of safety of 2, what is the magnitude of the maximum torque that can be transmitted? A.16.3 kNm B.2.04 kNm C.4.08 kNm D.1.02 kNm A solid 200-mm long, 40-mm diameter circular shaft has a modulus of rigidity of 70 GPa and is fixed at one end and is free at the other. A torque with magnitude 200 N-m is applied at the free end. Which of the following is closest to the magnitude of the shear strain (in rad) at point B? B A.2.27 x 10-4 B.4.45 x 104 B C.2.82 x 104 D.1.42 x 10-4 Which of the following is closest to the 40 mm C magnitude of the shear stress (in MPa) at point B? A.19.8 B.9.96 C.31.8 D.15.9 200 mm 200 Nm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Consider a solid circular shaft fixed at one end and free at the other end with a concentrated
torque applied at the free end. Which of the following will result in a decrease in the
maximum shear stress in the rod?
A.Applying the torque at the mid-length of the rod instead of at the free end
B.Increasing the diameter of the rod
C.Using a hollow cylinder instead of a solid rod
D.Using a material with a higher modulus of rigidity
A hollow shaft has inner and outer diameters of 4 cm and 6 cm, respectively. Knowing that
the shear stress at yield is 120 MPa, for a factor of safety of 2, what is the magnitude of the
maximum torque that can be transmitted?
A.16 kNm
B.2.04 kNm
C.4.08 kNm
D.1.02 kNm
A solid 200-mm long, 40-mm diameter circular shaft has a modulus of rigidity of 70 GPa
and is fixed at one end and is free at the other. A torque with magnitude 200 N-m is applied
at the free end. Which of the following is closest to the magnitude of the shear strain (in
rad) at point B?
B
A.2.27 x 10-4
B.4.45 x 104
B
C.2.82 x 104
D.1.42 x 104
Which of the following
is closest to the
40 mm
C
magnitude of the shear
stress (in MPa) at point
B?
A.19.8
200 mm
B.9.96
C.31.8
D.15.9
200 Nm
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