Bricks and Sticks Lecture 4
Module: Light and Structure
Week 4 - Materials
3 things can control: Forces, Material, Shapes
Different geometry means different internal forces:
Definitions:
Stiffness: Extent resists deformation in response to an applied force
Brittle: Easy to snap
Ductile: Can be drawn into wires
Tough: Resists scratching
Elasticity: Returns to original shape when deformed
Plasticity: Remains in deformed shape
Considering two structural elements (objects), differentiate properties of MATERIAL and GEOMETRY:
Hard Gums vs. strawberry laces - materially similar, geometrically different
“Homogeneous” Material: consistent all the way through
“ Composite” Material: different materials and qualities
Structural materials:
Cost
Availability
Weight
Electrical/ Thermal conductivity
Thermal expansivity
Durability
Embodied CO2 - (CO2/energy consumed in producing material)
Eco-toxicity - (extent material damaging environment)
Hooke’s Law: F=-kX
Strain (visible): ∑= Δ L/original L
Stress (invisible): σ=F/A (cross-sectional area)
Young’s Modulus: E= Δσ/ Δ∑
Measures stiffness of material
Removes affect of geometry
Stiffer materials have steeper gradient (higher E)
Yield point: elastic to plastic
“strength quantified”
Concrete - weak in tension, ok in compression (reinforce with steel at points of tension ie. bottom of beam) (E sudden decrease after yield)
Steel - somewhat still usable in the “plastic” range (E slowly increases still after yield point)












