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Structural Engineering
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Outline Introduction to Structural Engineering Design Process
Forces in Structures Structural Systems Materials Definitions of Important Structural Properties Triangles UNITS (Dimensional Analysis)
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Structural Engineering
What does a Structural Engineer do? A Structural Engineer designs the structural systems and structural elements in buildings, bridges, stadiums, tunnels, and other civil engineering works (bones) Design: process of determining location, material, and size of structural elements to resist forces acting in a structure
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Design Process
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Engineering Design Process
Identify the problem (challenge) Explore alternative solutions Research past experience Brainstorm Preliminary design of most promising solutions Analyze and design one or more viable solutions Testing and evaluation of solution Experimental testing (prototype) or field tests Peer evaluation Build solution using available resources (materials, equipment, labor, cost)
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Design Process in Structural Engineering
Select material for construction Determine appropriate structural system for a particular case. Justify (tell me why) you used these particular structural systems. Determine forces acting on a structure Calculate size of members and connections to avoid failure (collapse) or excessive deformation
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Forces in Structures
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Forces Acting in Structures
Force induced by gravity (F=ma) Dead Loads (permanent): self-weight of structure and attachments Mass Vs. Weight Compression, Tension, bending, torsion
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Forces Acting in Structures
Vertical: Gravity Lateral: Wind, Earthquake
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Forces in Structural Elements
100 lb Compression 100 lb Tension
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Forces in Structural Elements
100 lb Bending Torsion
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Structural Systems
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Typical Structural Systems
Arch
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Typical Structural Systems
Truss C T Forces in Truss Members
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Typical Structural Systems
Frame
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Typical Structural Systems
Flat Plate
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Typical Structural Systems
Folded Plate
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Typical Structural Systems
Shells
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Providing Stability for Lateral Loads
Racking Failure of Pinned Frame Braced Frame Infilled Frame Rigid Joints
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Materials Used in Civil Engineering
Metals Cast Iron Steel Aluminum Concrete Wood Fiber-Reinforced Plastics
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Engineering Properties of Materials
Steel Maximum stress: 40,000 – 120,000 lb/in2 Maximum strain: 0.2 – 0.4 Modulus of elasticity: 29,000,000 lb/in2 Concrete Maximum stress: 4,000 – 12,000 lb/in2 Maximum strain: 0.004 Modulus of elasticity: 3,600,000 – 6,200,000 lb/in2 Wood Values depend on wood grade. Below are some samples Tension stress: 1300 lb/in2 Compression stress: 1500 lb/in2 Modulus of elasticity: 1,600,000 lb/in2
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Concrete Components Sand (Fine Aggregate) Gravel (Coarse Aggregate)
Cement (Binder) Water Air
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Fiber-Reinforced Composites
Composite Laminate Polyester Polymer Matrix Epoxy Vinylester Glass Functions of matrix: Force transfer to fibers Compressive strength Chemical protection Fiber Materials Aramid (Kevlar) Carbon Function of fibers: Provide stiffness Tensile strength
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Properties of Materials (Why are they used)
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Definition of Stress T Example (English Units): T = 1,000 lb (1 kip)
Section X T Example (English Units): T = 1,000 lb (1 kip) A = 10 in2. Stress = 1,000/10 = 100 lb/in2 Example (SI Units): 1 lb = N (Newton) 1 in = 25.4 mm T = 1,000 lb x N/lb = 4448 N A = 10 in2 x (25.4 mm)2 = 6450 mm2 (1 in)2 Stress = 4448/6450 = 0.69 N/mm2 (MPa) Section X Stress = Force/Area T
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Definition of Strain T Strain = DL / Lo DL Example: Lo = 10 in.
DL = 0.12 in. Strain = 0.12 / 10 = in./in. Strain is dimensionless!! (same in English or SI units)
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Engineering Properties of Structural Elements
Strength Ability to withstand a given stress without failure Depends on type of material and type of force (tension or compression) Tensile Failure Compressive Failure
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Engineering Properties of Structural Elements
Stiffness (Rigidity) Property related to deformation Stiffer structural elements deform less under the same applied load Stiffness depends on type of material (E), structural shape, and structural configuration Two main types Axial stiffness Bending stiffness
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Axial Stiffness T DL Stiffness = T / DL Example: T = 100 lb
Lo Stiffness = T / DL Example: T = 100 lb DL = 0.12 in. Stiffness = 100 lb / 0.12 in. = 833 lb/in.
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Bending Stiffness Displacement Force Stiffness = Force / Displacement
Example: Force = 1,000 lb Displacement = 0.5 in. Stiffness = 1,000 lb / 0.5 in. = 2,000 lb/in.
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Stiffness of Different Structural Shapes
Stiffest Stiffer
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Types of Structural Elements – Bars and Cables
Bars can carry either tension or compression Cables can only carry tension
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Types of Structural Elements – Beams
Loads Tension Compression
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Triangles
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Formulas SOH, CAH, TOA c2 = a2 + b2 H O A
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