A paper machine processes rolls of paper having a density of 984 kg/m^3. The paper roll is 1.50-m outside diameter (OD) x 22-cm inside diameter (ID) x 3.23-m long and is on a simply supported, hollow, steel shaft with Sut = 400 MPa. Find the shaft ID needed to obtain a dynamic safety factor of 2 for a 10-year life if the shaft OD is 22 cm and the roll turns at 50 rpm with 1.2 hp absorbed.

A paper machine processes rolls of paper having a density of 984 kg/m^3. The paper roll is 1.50-m outside diameter (OD) x 22-cm inside diameter (ID) x 3.23-m long and is on a simply supported, hollow, steel shaft with Sut = 400 MPa. Find the shaft ID needed to obtain a dynamic safety factor of 2 for a 10-year life if the shaft OD is 22 cm and the roll turns at 50 rpm with 1.2 hp absorbed.

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

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

Parvinbhai

A paper machine processes rolls of paper having a density of 984 kg/m^3. The paper roll is 1.50-m outside diameter (OD) x
22-cm inside diameter (ID) x 3.23-m long and is on a simply supported, hollow, steel shaft with Sut = 400 MPa. Find the
shaft ID needed to obtain a dynamic safety factor of 2 for a 10-year life if the shaft OD is 22 cm and the roll turns at 50 rpm
with 1.2 hp absorbed.

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Step 3: Calculate the weight per unit length

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Step 4: Calculate the maximum available stress

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Step 5: Calculate the diameter

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