A solid steel bar of diameter d, = 45s.0 mm is enclosed by a steel tube of outer diameter d, = 52.5 mm and inner diameter d, = 50.0 mm (see figure). Tube End plate Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end 8. The composite bar, which has a length L = 380 mm, is twisted by a torque T= 350 N-m acting on the end plate. (Assume that the +x-axis begins at A and extends to the right.) (a) Determine the maximum shear stresses r, and r2 (in MPa) in the bar and tube, respectively. (Enter the magnitudes.) MPa MPa (b) Determine the angle of rotation e (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. (Use the statics sign convention.) (c) Determine the torsional stiffness k, (in kN - m/rad) of the composite bar. kN- m/rad

A solid steel bar of diameter d, = 45s.0 mm is enclosed by a steel tube of outer diameter d, = 52.5 mm and inner diameter d, = 50.0 mm (see figure). Tube End plate Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end 8. The composite bar, which has a length L = 380 mm, is twisted by a torque T= 350 N-m acting on the end plate. (Assume that the +x-axis begins at A and extends to the right.) (a) Determine the maximum shear stresses r, and r2 (in MPa) in the bar and tube, respectively. (Enter the magnitudes.) MPa MPa (b) Determine the angle of rotation e (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. (Use the statics sign convention.) (c) Determine the torsional stiffness k, (in kN - m/rad) of the composite bar. kN- m/rad

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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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A solid steel bar of diameter d, = 45.0 mm is enclosed by a steel tube of outer diameter dz = 52.5 mm and inner diameter d, = 50.0 mm (see figure).
Tube
Bar
End
plate
-dz
Both bar and tube are held rigidly by a support
end A and joined securely to a rigid plate at end B. The composite bar, which has a length L = 380 mm, is twisted by a torque T= 350 N-m acting on the end plate. (Assume that the +x-axis begins at A and extends to the right.)
(a) Determine the maximum shear stresses r, and r, (in MPa) in the bar and tube, respectively. (Enter the magnitudes.)
MPa
72
MPa
(b) Determine the angle of rotation o (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. (Use the statics sign convention.)
(c) Determine the torsional stiffness k- (in kN · m/rad) of the composite bar.
kN - m/rad

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