5) A brass rod 8mm diameter and 400mm long fits centrally inside aluminum tube of the same length having an external diameter of 16mm and a wall thickness of 3mm. The rod and tube are rigidly connected at their ends so that they twist together when a torque of 20 Nm is applied. Galuminum = 30GP3; Grass = 40GPA. %3D Determine: a) The values of the torsional stiffness for the rod and the tube b) The torque transmitted by each c) The maximum shear stress in each ( d) The angle of twist

5) A brass rod 8mm diameter and 400mm long fits centrally inside aluminum tube of the same length having an external diameter of 16mm and a wall thickness of 3mm. The rod and tube are rigidly connected at their ends so that they twist together when a torque of 20 Nm is applied. Galuminum = 30GP3; Grass = 40GPA. %3D Determine: a) The values of the torsional stiffness for the rod and the tube b) The torque transmitted by each c) The maximum shear stress in each ( d) The angle of twist

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...

See similar textbooks

Similar questions

A brass rod 8mm diameter and 400mm long fits centrally inside aluminum tube of the same length having an external diameter of 16mm and a wall thickness of 3mm. The rod and tube are rigidly connected at their ends so that they twist together when a torque of 20 Nm is applied. Galuminum = 30GPa; Gbrass = 40GPa. Determine: a) The values of the torsional stiffness for the rod and the tube b) The torque transmitted by each c) The maximum shear stress in each d) The angle of twist
A steel [E = 200 GPa] rod with a circular cross section is 8-m long. Determine the minimum diameter D required if the rod must transmit a tensile force of 15 kN without stretching more than 4 mm.
A steel [E=200 GPa] rod with a circular cross section is 10 m long. Determine the minimum diameter required if the rod must transmit a tensile force of 260 kN without exceeding an allowable stress of 240 MPa or stretching more than 10 mm.
(a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-mm. Determine the modulus of elasticity for the bar material. (b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress is 240 MN/mo? The load can be assumed to remain constant at 100kN. (c) What will be the change in the outside diameter of the bar under the limiting stress quoted in (b)? (E = 210 GN/m2 and 1 = 0.3).
A timber column, 8 in. by 8 in. in cross section, is reinforced on all four sides by steel plates, each plate being 8 in. wide and t in. thick. Determine the smallest value of tfor which the column can support an axial load of 300 kips if the working stresses are 1200 psi for timber and 20 ksi for steel. The moduli of elasticity are 1.5 x106psi for timber and 29 x 106psi for steel.
BD rod made of G1 = 78 GPa with a diameter of 27 mm attached to the CA tube at point B, the tube made of G2 = 133 GPa had an outer diameter of 59 mm and a wall thickness of 10 mm. If T1 = 935 Nm and T2 = 1683 Nm, answer the following questions: 1- It is the polar inertial moment of the bar BD. 2- Maximum shear stress BD. 3- It is the polar moment of inertia of the CA tube. 4- It is the maximum shear stress BD. 5- It is the maximum shear stress of the CA tube. 6- It is the maximum shear stress of the assembly. 7- is the torsion angle between D and B. 8- It is the torsion angle between C and A. -9 is the torsion angle at D. 10- is the torsion angle between C and B. 11- is the reaction at point A.
mechanics of rigid bodies The shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass core 0.5 in. in diameter. If a torque of 250 lb-ft is applied at its end, determine the maximum shear stress in psi experienced by the assembly. Take G for steel at 11.4x103 ksi and G brass at 5.2 x 103 ksi. with diagram if necessary.
A 3.2-meter-long fixed and hollow cast iron column has its internal and external diameters as 60 mm and 80 mm respectively. Determine Rankine’s crippling load using the value of crushing stress to be 500 MPa and the value of Rankine,s constant as 1/1600.
A 12-mm thick steel tire has a width of 110 mm and internal diameter of 800 mm. It is heated and trunk onto a steel will 800.50 mm in diameter. The modulus of elasticity of steel is 200 GPa. 1) Which of the following most nearly gives the tensile stress in the tire. a. 145 MPa b. 130 MPa c. 110 MPa d. 125 MPa 2) Which of the following most nearly gives the compressive pressure between the tire and the wheel. a.) 4.35 MPa b.) 3.30 MPa c.) 3.90 MPa d.) 3.75 MPa 3) If the tire has an allowable tensile stress of 124 MPa and is to resist a pressure of 1.50 MPa, which of the following most nearly gives its thickness. a.) 4.84 mm b.) 2.42 mm c.) 2.58 mm d.) 5. 16 mm
The compound axial member shown consists of a 20-mm-diameter solid aluminum [E=70 GPa] segment (1), a 24 mm-diameter solid alurminum segment (2), and a 16-mm-diameter solid steel [E=200 GPa) segment (3) Determine the displacements of member 1, member 2 and member 3. Answer in positive value if the deformation is elongation consequently. answer in negative value if the deformation is shortening.
A timber column, 8in. by 8in. in cross section is reinforced on all four sides by steel plates, each plate being 8in. wide and "t"in. thick. Determine the smallest value of "t" for which the column can support an axial load of 300 kips if the working stresses are 1200psi for timber and 20ksi for steel. The moduli of elasticity are 1.5x10^6psi for timber and 29x10^6psi foe steel -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.
A solid steel post having a length of 3m and a diameter of 80 mm is subjected to pure torsion. a) What is the torsional rigidity of the post if the shear modulus of elasticity is 80 GPa? b) Determine the torsional stiffness of the steel post. c) Determine the maximum shear stress in the steel post if it is subjected to a torque of 612 N-m.