Introduction to Solid Mechanics: Master the Fundamentals of Material Behavior

Question 1

Young's modulus is a measure of a material's:

Accepted Answer

Stiffness

Answer

Strength

Answer

Ductility

Answer

Toughness

Question 2

Which of the following relationships is a constitutive equation for a linear elastic, isotropic material?

Accepted Answer

σ = Eε

Answer

σ = Eε²

Answer

σ = ε/E

Answer

σ = √Eε

Question 3

A material with a high Poisson's ratio will exhibit:

Accepted Answer

Significant lateral expansion under uniaxial tension

Answer

Negligible lateral expansion under uniaxial tension

Answer

Lateral contraction under uniaxial tension

Answer

Lateral shear deformation under uniaxial tension

Question 4

Which of the following loading conditions results in pure shear stress?

Accepted Answer

Torsion

Answer

Uniaxial tension

Answer

Bending

Answer

Compression

Question 5

Which of the following is a measure of a material's ability to absorb energy before fracturing?

Accepted Answer

Toughness

Answer

Resilience

Answer

Ductility

Answer

Yield strength

Question 6

Which of the following is a dimensionless quantity used to characterise the behaviour of a material under complex loading?

Accepted Answer

Poisson's ratio

Answer

Young's modulus

Answer

Shear modulus

Answer

Bulk modulus

Question 7

What is the term for the deformation of a material under an applied load?

Accepted Answer

Strain

Answer

Stress

Answer

Modulus of elasticity

Answer

Yield strength

Question 8

Which of the following is NOT a type of stress?

Accepted Answer

Poisson's ratio

Answer

Tensile stress

Answer

Compressive stress

Answer

Shear stress

Question 9

The Young's modulus of a material measures its:

Accepted Answer

Stiffness under tensile or compressive loading

Answer

Resistance to shear deformation

Answer

Ability to absorb energy without permanent deformation

Answer

Maximum stress it can withstand before yielding

Question 10

Which equation relates stress and strain in a linear elastic material?

Accepted Answer

Hooke's law

Answer

Saint-Venant's law

Answer

Mohr-Coulomb law

Answer

Maxwell's law

Question 11

Which material property describes its resistance to plastic deformation?

Accepted Answer

Yield strength

Answer

Tensile strength

Answer

Stiffness

Answer

Poisson's ratio

Question 12

Is Poisson's ratio a dimensionless quantity?

Accepted Answer

True

Answer

False

Question 13

What is the purpose of the Mohr's circle?

Accepted Answer

Graphical representation of stress states at a point

Answer

Graphical representation of strain states at a point

Answer

Graphical representation of material properties

Answer

Graphical representation of constitutive equations

Question 14

When subjected to uniaxial loading, what key difference distinguishes the mechanical behavior of brittle materials from ductile materials?

Accepted Answer

Ductile materials gradually yield before failing, while brittle materials fail abruptly at a specific stress level.

Answer

Ductile materials have a higher elastic modulus than brittle materials.

Answer

Brittle materials are inherently stronger than ductile materials.

Answer

Ductile materials have lower fracture resistance than brittle materials.

Question 15

For a given stress state, which of the following indicates equal stresses in all directions?

Accepted Answer

Hydrostatic stress

Answer

Uniaxial stress

Answer

Bending stress

Answer

Shear stress

Question 16

The strain energy density in a linear elastic solid subjected to uniaxial tension is given by:

Accepted Answer

(Stress x Strain) / 2

Answer

Stress x Strain

Answer

(Stress) / (Young's modulus)

Answer

(Stress) / (2 x Strain)

Question 17

The constitutive equation for a linear elastic material in uniaxial tension relates:

Accepted Answer

Stress to Strain

Answer

Strain to Shear Modulus

Answer

Stress to Shear Strain

Answer

Strain to Bulk Stress

Question 18

The yield strength of a material represents the maximum stress it can experience before undergoing:

Accepted Answer

Permanent deformation

Answer

Fracture

Answer

Creep

Answer

Elastic recovery

Question 19

The moment of inertia of an area about an axis represents its:

Accepted Answer

Resistance to bending

Answer

Resistance to torsion

Answer

Resistance to buckling

Answer

Resistance to shear

Question 20

Principal stresses at a point in a body are those that act on planes that are:

Accepted Answer

Orthogonal to each other

Answer

Parallel to each other

Answer

Inclined at 45 degrees

Question 21

The Mohr's circle is a graphical tool used to determine:

Accepted Answer

Principal stresses and maximum shear stress

Answer

Strain energy

Answer

Material properties