e composite shaft shown in Figure consists of a solid brass segment one and a solid aluminum segment two that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (one) has a diameter of 18 mm, a length of L₁ = 235 mm, and a shear modulus of 39 GPa. Aluminum segment (two) has a diameter of 24 mm, a length of L₂ = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 N-m is applied to flange B, determine (a) the maximum shear stress magnitudes in the segments one and two (b) the rotation angle of flange B relative to

e composite shaft shown in Figure consists of a solid brass segment one and a solid aluminum segment two that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (one) has a diameter of 18 mm, a length of L₁ = 235 mm, and a shear modulus of 39 GPa. Aluminum segment (two) has a diameter of 24 mm, a length of L₂ = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 N-m is applied to flange B, determine (a) the maximum shear stress magnitudes in the segments one and two (b) the rotation angle of flange B relative to

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.76P: The 50-ft measuring tape weighs 2.4 lb. Compute the span L of the tape to four significant figures.

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

The composite shaft shown in Figure consists of a solid brass segment one and a solid aluminum segment two that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (one) has a diameter of 18 mm, a length of L₁ = 235 mm, and a shear modulus of 39 GPa. Aluminum segment (two) has a diameter of 24 mm, a length of L₂ = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 N-m is applied to flange B, determine

(a) the maximum shear stress magnitudes in the segments one and two

(b) the rotation angle of flange B relative to support A.

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