Concrete Society Technical Report No. 18
- uide to chemical
e dmixtures for concrete
' eport of a Joint Working Party
The Concrete Society
The Cement Admixtures Association Members of the Working Part
Advanced Solid Mechanics
Assignment - 8: End Torsion of Prismatic Bars
1. Knowing that the inner diameter of an annular cylinder is di = 30 mm
and that its outer diameter is do = 40 mm, determine the
Advanced Solid Mechanics
Assignment - 5: Constitutive Relations
1. A body in the form of a cube of side 10 cm is subjected to a deformation
of the form: x = (1+a1 )X +a2 Y , y = (1+a3 )Y , z = (1+a4 )
Advanced Solid Mechanics
Assignment - 7: Bending of Prismatic Straight
Beams
1. Find the displacement and stress elds in a cantilever beam with rectangular cross section of length 2l, depth 2c and wid
Advanced Solid Mechanics
Assignment - 10: Beam on Elastic Foundation
1. A steel beam of a rectangular cross section, 180 mm wide and 280 mm
thick, is resting on an elastic foundation whose modulus of
Advanced Solid Mechanics
Assignment - 9: Bending of Curved Beams
1. There are two beams - a straight beam and a curved beam - each of
which is subjected to a pure bending moment, M. Assuming that both
Advanced Solid Mechanics
Assignment - 3: Traction and Stress
1. Cauchy stress state corresponding to
(cfw_ex , ey , ez ) is as given below:
10 5
= 5 10
0
0
an orthonormal Cartesian basis
0
0 M P a.
0
Advanced Solid Mechanics
Assignment - 6: Boundary Value Problems:
Formulation
1. A body in the form of an annular cylinder is pressurized from outside
as shown in gure 1. Obtain the stress and displac
Advanced Solid Mechanics
Assignment - 2: Kinematics
1. A body in the form of a cube, B = cfw_(X, Y, Z)|0 X 1cm, 0 Y
1cm, 0 Z 1cm in the reference conguration, is subjected to the
following deformatio
Advanced Solid Mechanics
Assignment - 4: Balance Laws
1. Determine which of the following Cauchy stress elds are possible within
a body at rest assuming that there are no body forces acting on it:
3
Advanced Solid Mechanics
Assignment - 1: Mathematical Preliminaries
1. Give reasons for the following: (a) ii = 3, (b) ij ij = 3, (c) ij ai =
aj , (d) ij ajk = aik , (e) ij akj = aki , (f) ij aij = ai