P 5. Solids under stress Revamp Flashcards
Almost there
u right
Experiment to learn?
When the case calls
Define limit of proportionality
- When the proportional behaviour
- of forces and extension stops
Define elastic limit
- Point at which deformation
- ceases to be elastic
Define permanent extension
When it’s permanent, irreversible deformation
Define elastic behaviour
- When extension disappears when force is removed
- returns to its original size and shape
Define plastic behaviour
- When extension decreases
- only slightly when stress is removed
- Doesn’t return to its original size and shape
Define Hooke’s law?
(4-way)
- The tension in a spring or ware
- is proportional to its extension
- from its natural length
- within the limit of proportionality
Hooke’s law formula?
F = kx
Define F
(Hooke’s law)
Force applied/tension
(N)
Define k
(Hooke’s law)
The spring constant
(force per unit extension)
Define x
(Hooke’s law)
The extension from the spring’s natural length
(mm, cm, m)
What do springs look like in parallel?
1 hanging each side
What do springs look like in series?
Hanging on top of each other
If springs are in parallel, what happens to the k?
(2-way… + 1 thing)
- x = doubled
- k = halved
- k1 + k2 = ktotal
If springs are in series, what happens to the k?
(2-way… + 1 thing)
- x = halved
- k = doubled
- 1/k1 + 1/k2 = 1/ktotal
How is the energy stored in stretched spring equation formed?
- Area under line on force-distance graph = wd
- Likewise to Hooke’s law thing
- E = ½ Fx
- Sub in F = kx
- E = ½ kx2
Therefore, what’s the equation to find energy stored in a stretched spring?
(in data booklet)
E = ½ kx2
Define stress
Force per unit cross-sectional area
Formula for tensile stress (σ)?
σ = N/m2
Formula for tensile stress expressed in words?
Tensile stress = Force/Area
Define σ
(Tensile stress formula)
Tensile stress…
(Nm-2 or Pa)
Define N
(Tensile stress formula)
Force
(Newtons)
Define m2
(Tensile stress formula)
Area
(x2)
Define strain
Extension per unit length
Formula for tensile strain (ε)?
ε = m/m
Formula for tensile strain expressed in words?
Tensile strain = extension/length
Define ε
(Tensile strain formula)
… tensile strain
(A ratio, no units)
Define the m’s
(Tensile strain formula)
(2-way)
- Extension above
- Length below
For any material, if we work within the limit of proportionality, what happens to the ratio for stress/strain?
What’s it called?
- Becomes a constant value
- YOUNG MODULUS
Formula for young modulus (E)?
E = σ/ε
What’s an easier equation for young modulus?
E = Fl/Ax