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Plastic region
past yield; permanent deformation occurs
Ultimate strength
the peak stress on the curve (highest point)
Necking
the curve drops after ultimate strength as the specimen starts to narrow locally before fracture
Fracture point
where the specimen breaks
Modulus of Elasticity (E)
the slope of the linear portion of the curve (elastic region). It's a material property that measures stiffness
What "mechanical behavior of a material" means
how a material responds (deforms) under loads.
Axis for stress strain curve
X-axis = strain, Y-axis = stress (not the other way around)
Proportional Limit (PL)
the point where the curve stops being perfectly linear
Yield Limit (YL)
where the material begins permanent (plastic) deformation
Elastic region
below yield; material returns to original shape when load is removed
The Charpy test
measures a material's toughness, defined as the energy absorbed before failure.
Energy chain
Potential Energy (PE) → Kinetic Energy (KE) → absorbed as toughness energy in the material
Toughness ≠ Strength
A strong material is NOT necessarily tough. Toughness is about energy absorption capacity.
Ductile materials
absorb a lot of energy, deform significantly before breaking (high toughness)
Brittle materials
absorb little energy, break suddenly without much deformation (low toughness)
Static loads
applied slowly and steadily (like a typical tension test)
Dynamic loads
applied suddenly/rapidly (like an impact). The Charpy test is a dynamic load test. This distinction matters because materials behave differently under each type.
Three(3) point bending
single load at midspan; shear is constant on each half, moment peaks at the center
Four point bending
two loads applied symmetrically; the region between the two loads has zero shear and constant moment — this is called "pure bending" and it's significant because it eliminates shear's influence in that zone, giving clean bending data
Why we draw V&M diagrams
to find the maximum shear and maximum moment, because those locations are most likely to fail
A strain gage
sensor bonded to the surface of a material that measures strain (deformation) at that point by detecting tiny changes in electrical resistance. From measured strain, stress can be calculated.
Concrete ingredients
Cement, water, fine aggregate, coarse aggregate, and admixtures.
Admixture
Ingredient added to modify a specific concrete property (e.g., plasticizer improves workability).
Hydration
Exothermic chemical reaction between water and cement that causes hardening.
Exothermic reaction
Reaction that releases heat — hydration of cement produces heat as concrete cures.
Slump test
Measures fresh concrete workability; higher slump = more workable.
Workability
How easily fresh concrete can be placed and compacted.
Water/cementitious (w/c) ratio
Lower w/c = higher strength; higher w/c = more workable but weaker.
Cementitious material
Cement-like material (e.g., fly ash) that releases less CO₂ than Portland cement.
Why potable water is required
Chlorides in non-potable water corrode steel rebars inside concrete.
Why test concrete at 28 days
Concrete reaches ~99% of its design strength after 28 days of curing.
Compression test (concrete)
Cylinder is crushed; strength calculated using σ = F/A.
σ = F/A
Stress = force divided by cross-sectional area.
Failure mode
The crack pattern of a concrete cylinder during compression — varies by mix design.
Flexure test (concrete)
Bending test on a concrete beam; unreinforced fails suddenly in tension.
Why concrete needs rebar in tension
Concrete is ~10x weaker in tension than compression; steel rebar carries the tensile forces.
Reinforced vs. metal beam stress
In reinforced concrete: concrete takes compression, rebar takes tension. In metal: stress distributes through the whole section.
Isotropic material
Same properties in all directions (e.g., steel, aluminum).
Orthotropic material
Different properties in different directions — wood is orthotropic due to its grain structure.
Why wood is orthotropic
Straw-like fibers grow along the trunk to carry gravity and wind loads, making it direction-dependent.
Axial direction (wood)
Parallel to the grain; the strongest direction.
Radial direction (wood)
Perpendicular to grain, pointing toward the tree's center.
Tangential direction (wood)
Perpendicular to grain, running tangent to the growth rings.
Cantilevered beam
Fixed at one end, free at the other — a tree is a natural example.
Wood grading and stamping
Lumber is evaluated for quality at the mill and stamped with a structural rating.