Basic Statements 3

Question 1

For an anisotropic material, the material is assumed to have similar properties in all directions

Answer 1

False - An isotropic material has similar properties, but a material such as carbon fibre works in different ways

Question 2

The “constitutive relations” are connected with material dependence, i.e. relationships between stresses and strain

Answer 2

True -

sigma = Youngs modulus * epsilon

Question 3

“Plain strain conditions” mean that only strain act on the structure or the component

Answer 3

False - We may have a very thick plate where the strain in the orthogonal direction of the plate is zero

Question 4

There is a section force called the bimoment which gives rise to stresses when a beam with a certain cross-section is subjected to torsion loading

Answer 4

True - The bimoment is a vital part in the equation for Vlasov torsion

Question 5

There is a relationship between the bending moment and the shear force which states that the bending moment can be obtained by integration of the shear force

Answer 5

True -

M(x) = integral [ T(x) dx]

Question 6

During bending loading conditions, the largest stresses and strains occur on the neutral surface

Answer 6

False - There are no stresses on the NA, however we do find the maximum strains there

Question 7

Hooke’s law is an example of a constitutive relationship

Answer 7

True -

S = Ee, in greek letters

Question 8

The Bernoulli and Navier Stoke’s theories assume that: plane sections remain plane after bending, sections keep their shape after bending and small deformations

Answer 8

True - Clever boys