Which of the following statements is TRUE for a circular shaft under pure torsion? A. The angle of twist of a point on the shaft's cross section is proportional to its radial distance from its longitudinal axis. B.The shear stress developed is proportional to the length of the member. C.The shearing strain developed is directly proportional to its radial distance from the longitudinal axis. D. The internal torque experienced is proportional to the length of the member. 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

Which of the following statements is TRUE for a circular shaft under pure torsion? A. The angle of twist of a point on the shaft's cross section is proportional to its radial distance from its longitudinal axis. B.The shear stress developed is proportional to the length of the member. C.The shearing strain developed is directly proportional to its radial distance from the longitudinal axis. D. The internal torque experienced is proportional to the length of the member. 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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

Which of the following statements is TRUE for a circular shaft under pure torsion?
A. The angle of twist of a point on the shaft's cross section is proportional to its radial
distance from its longitudinal axis.
B.The shear stress developed is proportional to the length of the member.
C.The shearing strain developed is directly proportional to its radial distance from the
longitudinal axis.
D. The internal torque experienced is proportional to the length of the member.
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

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