Politics and Law

Which of the following relation is stated by Hooke’s Law?

Which of the following relation is stated by Hooke’s law? Explanation: According to Hooke’s law, stress is directly proportional to strain and the ratio of stress to strain is denoted by Y or E and is called Young’s Modulus oof elasticity.

Which of the relation is stated by Hooke’s Law?

Mathematically, Hooke's law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.

What is Hooke’s Law used for?

Hooke's law is often used to describe and predict deformation of materials during occurrences like plastic deformation, elastic deformation and corrosion.

Which point on the stress-strain curve is Hooke’s Law valid?

Where in the stress-strain curve, the hooke's law is valid? Explanation: The hooke's law itself states that it is valid only up to the elastic range of the material I.e. only to that limit where the material is behaving elastic.

How is Hooke’s Law derived?

Derivation of Hooke's law

By convention, the minus or negative sign is present in F= -kx. The restoring force F is proportional to the displacement x, according to Hooke's law. When the spring is compressed, the coordinate of displacement x is negative. Zero when the spring is at its normal length.

What is the difference of stress and strain?

The stress is the pressure per unit area of the material, and the resulting strain is the deformation that occurs as a result of this stress.

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What does F =- KX stand for?

Sometimes Hooke’s law is formulated as F = −kx. In this expression F no longer means the applied force but rather means the equal and oppositely directed restoring force that causes elastic materials to return to their original dimensions. Hooke’s law may also be expressed in terms of stress and strain.

What is spring factor?

The spring factor is the ratio of the force acting on the spring to the displacement of the spring. The letter k stands for it. Hooke’s law is used to calculate it. It never changes (constant). The spring factor is the force acting on the unit extension formed.

Are elastic limit and yield point the same?

The yield point, alternatively called the elastic limit, marks the end of elastic behaviour and the beginning of plastic behaviour. When stresses less than the yield point are removed, the material returns to its original shape.

What kind of elastic materials are derived from a strain energy density function?

What kind of elastic materials are derived from a strain energy density function? Explanation: The hyper elastic materials are derived from a strain energy density function. A model is hyper elastic if and only if it is possible to express the cauchy stress tensor as a function of the deformation gradient.

What is strain Class 11?

Strain is defined as the amount of deformation of a material in the direction of the applied force divided by the initial length of the material.

How do you measure spring constant?

It’s used to determine stability or instability in a spring, and therefore the system it’s intended for. As a formula, it reworks Hooke’s Law and is expressed through the equation: k = – F/x. Where k is the spring constant, F is the force applied over x, and x is the displacement by the spring expressed in N/m.

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How can you deal with stress on metals?

Common methods for stress relieving carbon steel and alloy steel include:
  1. Heating steel to 150-200 degrees Celsius after hardening relieves peak stresses and is used for components such as ball bearings.
  2. Heating steel to 550 – 680 degrees Celsius after welding or machining relieves virtually all metal stress in steel.
Common methods for stress relieving carbon steel and alloy steel include:
  1. Heating steel to 150-200 degrees Celsius after hardening relieves peak stresses and is used for components such as ball bearings.
  2. Heating steel to 550 – 680 degrees Celsius after welding or machining relieves virtually all metal stress in steel.

What’s the difference between plastic and elastic deformation?

When energy goes into changing the shape of some material and it stays changed, that is said to be plastic deformation. When the material goes back to its original form, that’s elastic deformation.

Can a force be negative?

A negative force is the force acting on an object against the applied force. The applied force here is positive that is aimed in the right direction whereas a negative force acts in the left direction. An example of negative force is deceleration, where the speed of a moving object decreases due to gravitational force.

Why is KX negative?

Here k is the spring constant. The coordinate of displacement x is negative when the spring is compressed, zero when the spring is of the natural length, and x is positive when the spring is extended. When the spring is compressed x is negative and a positive restoring force F is required to extend it.

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What is the difference between nominal stress and true stress?

Nominal stress or engineering stress is defined as the ratio of force per initial cross sectional area (original area of cross-section). True Stress: True stress is defined as the ratio of force per actual (instantaneous) cross-sectional area taking lateral strain into consideration.

What is plastic limit in stress-strain curve?

For stresses beyond the elastic limit, a material exhibits plastic behavior. This means the material deforms irreversibly and does not return to its original shape and size, even when the load is removed. When stress is gradually increased beyond the elastic limit, the material undergoes plastic deformation.

What is the effect of hammering on elasticity of materials *?

Hammering and rolling: By hammering and rolling the material, the crystal grains are broken down into smaller units which results in an increase in elasticity of the material.

Which of these are types of normal stresses?

Which of these are types of normal stresses? Explanation: The normal stress is divided into tensile stress and compressive stress.

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