A compound shaft, composed of two materials steel (Gsteel-75 GPa) and bronze (Gbronze 38 GPa) is shown. The shaft is subjected to concentrated torsional loads at sections A and C, as well as a distributed torsional load along segment BC. The shaft consists of three segments with different cross-sectional areas: Segments AB and BC are solid shafts with diameters of 12mm and 16mm, respectively. Segment CD is a hollow shaft having an outer diameter of 16mm and a thickness of 2mm. Segment AB is made of bronze, while segments BC and CD are made of steel. The shaft is fixed at section D. Determine the following: ■ The internal torques for segments AB, BC and CD (in N-m) by drawing the Internal torque diagram ■The maximum torsional shear on the shaft in MPa ■ The relative rotation of section A with respect to section D in degrees N 4 Nm y 30 mm 30 mm D 30 mm B 16 Nm 12 mm 0 500 Nm/m 2 mm (wall thickness) 16 mm (outer diameter) x

A compound shaft, composed of two materials steel (Gsteel-75 GPa) and bronze (Gbronze 38 GPa) is shown. The shaft is subjected to concentrated torsional loads at sections A and C, as well as a distributed torsional load along segment BC. The shaft consists of three segments with different cross-sectional areas: Segments AB and BC are solid shafts with diameters of 12mm and 16mm, respectively. Segment CD is a hollow shaft having an outer diameter of 16mm and a thickness of 2mm. Segment AB is made of bronze, while segments BC and CD are made of steel. The shaft is fixed at section D. Determine the following: ■ The internal torques for segments AB, BC and CD (in N-m) by drawing the Internal torque diagram ■The maximum torsional shear on the shaft in MPa ■ The relative rotation of section A with respect to section D in degrees N 4 Nm y 30 mm 30 mm D 30 mm B 16 Nm 12 mm 0 500 Nm/m 2 mm (wall thickness) 16 mm (outer diameter) x

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.2.1P

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