Answered: How can we consider the analysis of a…

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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How can we consider the analysis of a curved beam?

Expert Solution

Step 1

Beam is defined as curved beam, with its neutral axis bent in without loaded state. Curved beam neutral axis and centroid angle may not overlap. Neutral axis of curved frames is transferred to curvature core. Throughout the situation of curved beam, its bending force often changes hyperbolically with both the length from of the neutral axis and the difference is not regular, just like straight beams.

Step 2

For stress analysis in the curved beam following assumptions are made

Analyzed portion is far from the loads applied.
The beam is charged in alignment with the plane.
Cross section remain same and perpendicular to the neutral axis.
Material is homogeneous and follows hooke's law .
Bending in the section is pure.
The stresses are below the proportional range, and there are minor deflections.

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