1. The following question has two parts, answer BOTH parts. (a) On the basis of miero-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.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
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please send handwritten solution for Q1 part a

1.
The following question has two parts, answer BOTH parts.
On the basis of micro-structural considerations, explain why polymers
(a)
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 by I = ", and the radius of
12
w
gyration is given by r
square cross-section. The width w of the column is 10 mm and the length l 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.
where w, is the width of one of the sides of the
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. On the basis of micro-structural considerations, explain why polymers (a) 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 by I = ", and the radius of 12 w gyration is given by r square cross-section. The width w of the column is 10 mm and the length l 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. where w, is the width of one of the sides of the 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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