A solid circular shaft has a uniform taper from one end to the other. The ratio of radius at the larger end to that at the smaller end is 1.2. Determine the error that occurs if the angle of twist for a given length is calculated using the mean radius of the shaft.

A solid circular shaft has a uniform taper from one end to the other. The ratio of radius at the larger end to that at the smaller end is 1.2. Determine the error that occurs if the angle of twist for a given length is calculated using the mean radius of the shaft.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Open Channel Flow

Open channel flow is a branch of fluid mechanics. It deals with the flow of fluid in an open conduit or free surface. In an open channel flow, gravity induces the flow of water whose surface is open to the air. This flow is free-falling rather than confined in rigid body conduits. The open channel flow depends upon two parameters that are the cross-section of the conduit and the velocity profile. Practical examples of open channel flow are streams, rivers, canals, and other drainage systems.In open channel flow, the cross-sectional area of at least one of the sides is exposed to air, and the surface of water faces atmospheric pressure. This flow is also known as free gravity flow. The cross-sectional area of the conduit can be either man-made or a natural channel. For instance, the flow in rivers and streams are natural conduits, and the flow in a canal and sanitary systems are man-made or engineered channels.

Question

A solid circular shaft has a uniform
taper from one end to the other. The
ratio of radius at the larger end to that at
the smaller end is 1.2. Determine the
error that occurs if the angle of twist for
a given length is calculated using the
mean radius of the shaft.

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