Understanding Elastic Moduli

What is the ratio of tensile (or compressive) stress to the longitudinal strain?

What unit is used to measure Young’s modulus?

What material requires the largest force to produce a small change in length?

What region of the stress-strain curve is of great importance for structural and manufacturing engineering designs?

What is the region within the stress-strain curve that is of great importance for structural and manufacturing engineering designs?

What is the ratio of tensile (or compressive) stress to the longitudinal strain defined as?

What is the unit of Young’s modulus?

For a given material, the magnitude of the strain produced is same whether the stress is tensile or compressive. True or False?

What is the symbol used to denote Young’s modulus?

What type of force is required to increase the length of a thin steel wire by 0.1%?

Which material is more elastic than copper, brass, and aluminium?

What is the ratio of tensile (or compressive) stress to the longitudinal strain?

What type of stress-strain curve region is of great importance for engineering designs?

What is the force required to produce the same strain in aluminium, brass, and copper wires having the same cross-sectional area?

True or false: Young's modulus is a characteristic of the material and is denoted by the symbol Y?

True or false: The ratio of stress and strain is known as Young's modulus?

True or false: Young's modulus has the unit of N m–2 or Pascal (Pa)?

True or false: Steel is less elastic than copper, brass, and aluminium?

True or false: The force required to produce the same strain in aluminium, brass, and copper wires having the same cross-sectional area are 690 N, 900 N and 1100 N respectively?

True or false: The proportional region within the elastic limit of the stress-strain curve is of great importance for structural and manufacturing engineering designs?

True or false: Strain is a dimensionless quantity?

True or false: For a given material, the magnitude of the strain produced is different whether the stress is tensile or compressive?

True or false: To increase the length of a thin steel wire of 0.1 cm2 cross-sectional area by 0.1%, a force of 2000 N is required?

True or false: The unit of Young's modulus is the same as that of strain?

Table 8.1 gives the values of Young’s moduli and yield strengths of some ______

From the data given in Table 8.1, it is noticed that for metals Young’s moduli are ______

To increase the length of a thin steel wire of 0.1 cm2 cross-sectional area by 0.1%, a force of 2000 N is ______

The ratio of tensile (or compressive) stress (σ) to the longitudinal strain (ε) is defined as Young’s modulus and is denoted by the symbol ______

The unit of Young’s modulus is the same as that of ______

The force required to produce the same strain in aluminium, brass, and copper wires having the same cross-sectional area are 690 N, 900 N and 1100 N ______

The proportional region within the elastic limit of the stress-strain curve (region OA in Fig. 8.2) is of great importance for structural and manufacturing engineering ______

The ratio of stress and strain, called modulus of elasticity, is found to be a characteristic of the ______

The magnitude of the strain produced is same whether the stress is tensile or ______

Since strain is a dimensionless quantity, the unit of Young’s modulus is the same as that of stress i.e., N m–2 or ______

Match the following terms with their definitions:

Match the following materials with their Young's moduli:

Match the following forces with the materials they are applied to produce the same strain:

What is the reciprocal of the bulk modulus called?

Which type of material is the least compressible?

What is the ratio of lateral strain to longitudinal strain in a stretched wire called?

What is the value of Poisson's ratio for steels?

What is the primary reason for the incompressibility of solids?

What is the fractional change in volume per unit increase in pressure defined as?

What region of the stress-strain curve is of great importance for engineering designs?

What is the ratio of the lateral strain to the longitudinal strain in a stretched wire?

What is the modulus of elasticity for liquids compared to solids?

What is the compressibility of gases compared to solids?

What is the symbol used to denote shear modulus?

What is the SI unit of bulk modulus?

What is the relationship between shear modulus (G) and Young's modulus (Y) for most materials?

What does the negative sign in the expression for bulk modulus indicate?

What is the ratio of shearing stress to the corresponding shearing strain known as?

What is the ratio of hydraulic stress to the corresponding hydraulic strain known as?

What is the other name for shear modulus?

What is the relationship between bulk modulus (B) and pressure (p) for a system in equilibrium?

What does the shear stress (σs) equal to in terms of shear modulus (G) and shear strain (θ)?

What is the ratio of shearing stress to the corresponding shearing strain used to determine?

True or false: Solids are more compressible than gases?

True or false: Poisson's ratio has dimensions or units?

True or false: Gases have large compressibilities that do not vary with pressure and temperature?

True or false: Poisson's ratio is a pure number that depends only on the nature of the material?

True or false: The incompressibility of solids is primarily due to loosely coupled neighboring atoms?

True or false: The molecules in liquids are not as strongly bound to their neighbors as in solids?

True or false: Poisson's ratio for steels is about 0.33?

True or false: Poisson's ratio is a ratio of two stresses?

True or false: The reciprocal of the bulk modulus is called compressibility and is denoted by k?

True or false: The lateral strain in a stretched wire is directly proportional to the longitudinal strain within the elastic limit?

True or false: Shear modulus is also known as the modulus of elasticity?

True or false: The shear modulus of a material is generally greater than Young’s modulus?

True or false: The SI unit of bulk modulus is N m–2 or Pa?

True or false: The negative sign in the expression for bulk modulus indicates an increase in volume with an increase in pressure?

True or false: The shearing stress can be expressed as σs = G × θ?

True or false: The ratio of shearing stress to the corresponding shearing strain is known as Poisson's ratio?

True or false: For most materials, the relationship between shear modulus (G) and Young's modulus (Y) is G ≈ Y/3?

True or false: The bulk modulus of a material is generally less than Young’s modulus?

True or false: The ratio of hydraulic stress to the corresponding hydraulic strain is known as bulk modulus?

True or false: The ratio of shearing stress to the corresponding shearing strain is known as shear modulus?

______ = shearing stress (σs )/shearing strain

SI unit of shear modulus is N m–2 or ______

The ratio of hydraulic stress to the corresponding hydraulic strain is called bulk ______

The negative sign in the expression for bulk modulus indicates a decrease in volume with an increase in ______

The bulk moduli of a few common materials are given in ______ 8.3

The ratio of shearing stress to the corresponding shearing strain is called the shear modulus of the material and is represented by ______

The unit of Young’s modulus is the same as that of stress i.e., N m–2 or ______

The proportional region within the elastic limit of the stress-strain curve (region OA in Fig. 8.2) is of great importance for structural and manufacturing engineering ______

Solids are the ______ compressible, whereas, gases are the most compressible

Simon Poisson pointed out that within the elastic limit, lateral strain is directly proportional to the longitudinal ______

Poisson’s ratio is a ratio of two ______; it is a pure number and has no dimensions or units

The molecules in gases are very poorly coupled to their ______

For ______ the value is between 0.28 and 0.30, and for aluminium alloys it is about 0.33

The reciprocal of the bulk modulus is called ______ and is denoted by k

The strain perpendicular to the applied force is called lateral ______

The ratio of the lateral strain to the longitudinal strain in a stretched wire is called Poisson’s ______

For a given material, the magnitude of the strain produced is same whether the stress is tensile or ______

The incompressibility of the solids is primarily due to the tight coupling between the neighbouring ______

Match the following terms with their definitions:

Match the following materials with their compressibility:

Match the following stress-strain curve regions with their importance:

Match the following terms with their definitions:

Match the following materials with their Poisson's ratio values:

Match the following moduli with their definitions:

Match the following symbols with their corresponding moduli:

Match the following materials with their moduli:

Match the following equations with their moduli:

Match the following statements with their moduli: