Week 1. Flashcards
What is the definition of force?
The product of mass and acceleration.
What is a direct force?
A force that is normal to the surface it is applied.
What are the two types of direct force?
Tensile or compressive.
What is shear force?
A force that tends to tear the member into two and makes the layers of the particles of a body slide over each other.
What is the definition of engineering stress?
Engineering Stress = Force (F) / Original Cross-sectional Area (A)
What are the two types of stress?
Direct or Shear
What are the two types of direct stress?
Compressive or tensile
How is engineering strain defined?
Engineering strain is the increase in length per unit original length.
What is the formula for calculating engineering strain?
Strain = (change in length) / (original length).
What are the two types of engineering strain?
Tensile and Compressive.
What does Hooke’s Law state?
Stress is proportional to strain.
How is stress related to strain in Hooke’s Law?
Stress = E * Strain, where E is the Young’s Modulus of Elasticity.
What is the constant of proportionality in Hooke’s Law called?
Young’s Modulus of Elasticity (E).
What are the three types of static stresses to which materials can be subjected?
- Tensile - tend to stretch the material
- Compressive - tend to squeeze it
- Shear - tend to cause adjacent portions of material to slide against each other
What is a stress-strain curve?
It is the basic relationship that describes mechanical properties for all three types of stresses.
What is the tensile test commonly used for studying?
Stress-strain relationship, especially in metals.
What happens to the material during a tensile test?
It is elongated and its diameter is reduced.
What does ASTM stand for?
American Society for Testing and Materials.
What does ASTM specify the preparation of?
Test specimen.
What is the purpose of a tensile test?
To determine the mechanical properties of materials.
What is shown in Figure 3.1 of the document?
A typical test specimen for a tensile test.
What is the typical progress of a tensile test?
1) Beginning of test, no load
What happens if pieces are put back together after fracture in a tensile test?
The final length can be measured.
What does a compression test apply to a cylindrical specimen?
A load that squeezes the ends between two platens.
How is the compression force applied to the test piece?
Between two platens.
What is the resulting change in height during a compression test?
It decreases.
How is engineering stress in tension defined?
As force divided by original area.
What does the symbol ‘F’ represent in the equation for engineering stress?
Applied force.
What does the symbol ‘Ao’ represent in the equation for engineering stress?
Original area of the test specimen.
What happens to the height of the specimen during compression?
It is reduced.
How does the cross-sectional area change during compression?
It is increased.
What does the symbol A_o represent in the equation for engineering stress in compression?
Original area of the specimen.
How is engineering strain defined in tension?
e = (L - L0) / L0
How is engineering strain defined in compression?
As the reduction in height, resulting in a negative value of strain.
What is the value of engineering strain in compression?
Negative (the negative sign is usually ignored when expressing compression strain).
How is the shape of the plastic region different in a compression test compared to a tensile test?
The cross-section increases in a compression test.
Is the calculated value of engineering stress higher in a compression test or a tensile test?
Higher in a compression test.
What type of test is represented by the engineering stress-strain curve in Figure 3.8?
Compression test.
What does the elastic region of the stress-strain curve indicate?
It is the region prior to yielding of the material.
What does the plastic region of the stress-strain curve indicate?
It is the region after yielding of the material.
What is the Elastic Region in Stress-Strain Curve?
The relationship between stress and strain is linear.
What happens to the material when stress is removed in the Elastic Region?
The material returns to its original length.
What is Hooke’s Law?
σe = Ee, where E is the modulus of elasticity.
What does the modulus of elasticity (E) measure?
The inherent stiffness of a material.
How does the value of modulus of elasticity (E) differ for different materials?
Its value differs for different materials.
What is the Yield Point in a stress-strain curve?
The point at which the material begins to yield and the linear relationship changes slope at the upper end of the linear region.
How is the Yield Point identified?
By the change in slope at the upper end of the linear region.
What is another name for the Yield Point?
Yield strength, yield stress, and elastic limit.
What happens at the Yield Point in terms of strain?
0.2% permanent set of strain or 0.002 strain offset, meaning the material won’t return to its original length.
How is the Young’s Modulus value calculated at the Yield Point?
By subtracting 0.002 from the strain value of the yield point to get the strain which corresponds to the Young’s Modulus value.
What is the modulus of elasticity of the material?
Change in stress / Change in strain
How is tensile strength determined?
By dividing the maximum load by the original cross-sectional area of the specimen.
What is the percent elongation if fracture occurs at a gage length of 7.4 cm?
((7.4 - 5) / 5) * 100%
How is the percent reduction in area determined if the specimen necked to an area of 1.56 cm^2?
((3.125 - 1.56) / 3.125) * 100%
What does AR stand for and how to calculate it?
AR = (Ao - Af) / Af
What does the yield point mark in the stress-strain curve?
The beginning of plastic deformation.
What law is no longer guided beyond the yield point in the stress-strain relationship?
Hooke’s Law.
What happens to the elongation rate beyond the yield point?
It proceeds at a much faster rate than before.