Answered: For the the composite cross-section…

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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Question

For the the composite cross-section shown in the figure, compute the following cross-seciton properties
around the centroidal horizontal axis x and around the centroidal vertical axis y shown in the figure:
(a) Center of gravity. Position measured in the horizontal direction X.
(b) Center of gravity. Position measured in the vertical direction Y.
(c) Global centroidal moment of inertia IXg around the global centroidal horizontal X axis
of the composite cross section.
(d) Global centroidal moment of inertia IYg around the global centroidal vertical Y axis of
the composite cross section.
(e) Global centroidal radius of gyration, rX, around the global centroidal horizontal X axis
of the composite cross section.
(f) Global centroidal radius of gyration, rY, around the global centroidal vertical Y axis of
the composite cross section.
(g) Global centroidal elastic section modulus, SX, around the global centroidal horizontal X
axis of the composite cross section.
(h) Global centroidal elastic section modulus, SY, around the global centroidal vertical Y
axis of the composite cross section.
Center of Gravity

400 mm
50 mm
-200 mm
Y
- X
150 mm
Center of Gravity
50 mm

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