What is the formula for strain energy stored in a material due to a load?

U = 1 / 2 P(Al)

Fill in the blank: The maximum strain energy that can be stored in a material is known as ______.

Proof resilience

True or False: The Maximum Principal Stress Theory gives satisfactory results for ductile materials.

False. It gives satisfactory results for brittle materials.

What does Castigliano’s First Theorem relate to in terms of strain energy?

It states that the partial derivative of strain energy with respect to generalized displacement gives the generalized force.

Riddle: I can store energy from a load, but I'm not a battery. What am I?

Strain energy

Which stress theory states that yielding begins when the maximum principal strain occurs in simple tension?

Maximum Principal Strain Theory (St. Venant’s theory)

Fill in the blank: For a solid shaft, the strain energy in torsion is given by U = τ² / 4G x ______.

Volume of Shaft

What is the yield criteria according to the Maximum Shear Stress Theory for a 3D stress system?

Τmax = 1 / 2 (σ1 - σ3) = σy / 2

True or False: The Maximum Strain Energy Theory applies to both ductile and brittle materials equally.

False. It is more applicable to ductile materials.

What is the relationship between stress (σ) and force (F) according to gradual loading?

Σ = F / A