A paper mill processes rolls of paper having a density of 984 kg/m3. The paper roll is 1.50-m outside diameter (OD) x 0.22-m inside diameter (ID) x 3.23-m long and is on a simple supported, hollow, steel shaft with Sut = 400 MPa. Find the shaft ID needed to obtain a dynamic safety factor of 2 for a 10-yr life if the shaft OD is 22 cm and the roll turns at 50 rpm with 1.2 hp absorbed.

A paper mill processes rolls of paper having a density of 984 kg/m3. The paper roll is 1.50-m outside diameter (OD) x 0.22-m inside diameter (ID) x 3.23-m long and is on a simple supported, hollow, steel shaft with Sut = 400 MPa. Find the shaft ID needed to obtain a dynamic safety factor of 2 for a 10-yr 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

A paper mill processes rolls of paper having a density of 984 kg/m3. The paper roll is 1.50-m
outside diameter (OD) x 0.22-m inside diameter (ID) x 3.23-m long and is on a simple
supported, hollow, steel shaft with Sut = 400 MPa. Find the shaft ID needed to obtain a
dynamic safety factor of 2 for a 10-yr life if the shaft OD is 22 cm and the roll turns at 50 rpm
with 1.2 hp absorbed.
gear
d
key
T
cast iron roller
a
bearings are self-aligning
so act as simple supports

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