Homework01
Physics of Continuous Matter
Prof.
1
Homework
1. A soap bubble of diameter 6cm floats in air. What is the pressure excess inside the bubble when the
surface tension between soapy water and air is taken to be = 0.15N m1 ? Hoe would you define
th

Homework02
Physics of Continuous Matter
Prof.
1
Homework
1. Following the steps outlined in the text, invert the form of Hookes law given by (4.2.7) and develop
form (4.2.10). Explicitly show that E = (3 + 2)/( + ) and = /[2( + )]
Solution. The Hookes law

Homework04
Physics of Continuous Matter
Prof.
1
Homework
1. The following stress function
= C1 xy + C2
x3
x3 y
xy 3
x3 y 3
xy 5
+ C3
+ C4
+ C5
+ C6
6
6
6
9
20
(1.1)
is proposed to solve the problem of a cantilever beam carrying at uniformly varying loadi

Homework03
Physics of Continuous Matter
Prof.
1
Homework
1. Use Simple Beam theory to find the deformation and stress fields in a cantilever beam with a length
of L under uniform loading and simple support on the right side, as shown in the following figu