Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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please send handwritten solution for Q1 part b
1.
The following question has two parts, answer BOTH parts.
(a)
On the basis of micro-structural considerations, explain why
polymers generally have a low young's modulus (Modulus of
Elasticity) while metals and ceramics have relatively higher
young's modulus.
(b)
A column under direct axial compression has a square cross-
section. The moment of Inertia of its square profile is given
w4
by I =
and the radius of gyration is given by r =
12
where
V12
w, is the width of one of the sides of the square cross-
section. The width w of the column is 10 mm and the length I
is 500 mm. The column has a fixed-fixed end condition and
the maximum expected load is 2500 N.
It is desirable that the column does not buckle elastically. It
may, however, buckle with elasto-plastic buckling.
Given these conditions, find out the constraints on the values
of yield strength and young's modulus of the material to be
chosen for this column and, based on these constraints
justify if aluminium will be a possible candidate material in
this case.
Transcribed Image Text:1. The following question has two parts, answer BOTH parts. (a) On the basis of micro-structural considerations, explain why polymers generally have a low young's modulus (Modulus of Elasticity) while metals and ceramics have relatively higher young's modulus. (b) A column under direct axial compression has a square cross- section. The moment of Inertia of its square profile is given w4 by I = and the radius of gyration is given by r = 12 where V12 w, is the width of one of the sides of the square cross- section. The width w of the column is 10 mm and the length I is 500 mm. The column has a fixed-fixed end condition and the maximum expected load is 2500 N. It is desirable that the column does not buckle elastically. It may, however, buckle with elasto-plastic buckling. Given these conditions, find out the constraints on the values of yield strength and young's modulus of the material to be chosen for this column and, based on these constraints justify if aluminium will be a possible candidate material in this case.
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