Under Construction

Stress is defined as the force per unit area. Thus, the formula for calculating stress is:

   σ = –
Where σ denotes stress, F is load and A is the cross sectional area. The most commonly used units for stress are the SI units, or Pascals (Pa = N/m2) Newtons per Square meter, although other units like psi (pounds per square inch) are sometimes used.

Tensile Strength:

Elastic materials stretch (elongate) in proportion to force up to a point.
Stress is the force applied to the specimen and,
Strain is the relative elongation of the specimen from its original length.
Breaking Point & Elongation
A - This is a feature of system take-up. 
    At very low forces, elongation is not linear.
B - This is the linear portion of the stress/strain curve.
    It conforms to Hooke's law (F = kΔL)
C - This is the limit of proportionality, (LOP), where linearity gives way
    to nonlinear behaviour.
D - This is called the yield point, or yield strength 
  a.k.a. the elastic limit.  This point marks the end of the elastic region
  and the start of the plastic region, within which no extra force is required
  to further extend the sample. If the test is terminated within this region,
  the sample will not return to its original dimensions.
  The end of the plastic region is marked by point E,
  after which extra force is required to extend the sample further.
  F - This is known as the ultimate strength of the material, after which sample break (point G) occurs.
  See Bolts and screws here
  and Climbing Ropes
Compressive Strength:
Ceramics typically have good tensile strengths and are used under compression e.g. concrete.
When I was taking introductory engineering we made concrete blocks then crushed them with a testing machine. The strength of the blocks varied depending on the amount of water in the mixture. The time and temperature of curing also affects strength.

Shear Strength:

Shear | Strength of Materials Virtual Laboratory

Torsional Strength

A Moment of a Force

The force (F) produces a moment or "turning force" (M) that tries to rotate the diving board around a fixed point (A). In this case, the moment bends the diving board.

The stronger the force, and the greater the distance at which it acts, the larger the moment or "turning force" it will produce.

A moment or "turning force" (M) is calculated by multiplying a force (F) by its moment arm (d). The moment arm is the distance at which the force is applied, taken from the fixed point:
M = F x d

Beam or Bending Moment:

When a moment or "turning force" is applied to a structural member that is fixed on both ends, such as a pole beam, making it deflect or bend or sag. A moment that causes bending is called a bending moment. Bending produces tension and compression inside a beam or a pole, causing it to "smile." The molecules on the top of the smile get squeezed together, while the molecules on the bottom of the smile get stretched out. A beam or pole in bending will fail in tension (break on the side that is being pulled apart) (for example, a shelf in a bookcase, and the earlier diving board scenario).
See Building Loads

Yield Strength:
Yield strength is defined as the stress at which a material changes from elastic deformation to plastic deformation. Once the this point, known as the yield point is exceeded, the materials will no longer return to its original dimensions after the removal of the stress. See "D" in the Tensile strength diagram above.

Building Loads
Metal Properties
Defining the Tensile, Compressive, Shear, Torsional and Yield Strength of Materials | AZOM
4.1 Properties of Materials | Design Technology
Fairly Fundamental Facts about Forces and Structures - Lesson - www.teachengineering.org
Climbing Ropes
Tensile Testing | White Papers
Elasticity: Stress and Strain
Lecture 11 | NPTEL University of Delhi
Calculate Bending Stress of a Beam Section | SkyCiv Cloud Engineering Software
Calculate Bending Stress of a Beam Section | SkyCiv Cloud Engineering Software
Bolts and screws here
Climbing Ropes here

last updated 1 May 2017