Derive the material indices for a square thin-walled hollow cantilever beam (fixed length, L & fixed thickness t with va

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Derive The Material Indices For A Square Thin Walled Hollow Cantilever Beam Fixed Length L Fixed Thickness T With Va 1 (76.7 KiB) Viewed 9 times

Derive the material indices for a square thin-walled hollow cantilever beam (fixed length, L & fixed thickness t with varying outer side length, a) with a load F applied at the free tip. Determine your first choice of a lightest metallic material; a) if you are designing for strength b) if you are designing for stiffness Tip deflection 8 = FL³ 3EI My Normal stress where I is the moment of inertia, E is modulus of elasticity. Show search region, lines and the possible metal in each chart used. Section Shape 27 Area A m² bh -2.art 21(h+b) (h, b>>t) Moment/ m² bry . 12 - -r³t (1+3)
Young's modulus E (GPa) 1000 100 Strength, (MPa) 10 10-1 10-2 10-3 10,000 1000 100 10+ 10 m 10 10 0.1 Young's modulus-Density 0.01 Longitudinal wave speed 10 m/s 10%mvs Foams Rigid polymer foams 10 Strength-Density Metals and polymers: yield strength, a, Ceramics, glasses: modulus of rupture, MOR Bastomers: tensile tear strength, a Composites: tensile failure, a Rigid polymen foams 100 Foams B.C A alloys Composites CFRP Bamboo Wood Flexible polymer foams Natural materials 100 PMMA grain, Cork PS Wood grain Deather Technical ceramics Natural Woods, materials EVA soprene Flexible polymer- foams Glass Mg aloys GFRP Polymers and elastomers Composites Cork Butyl rubber 1000 Density p (kg/m³) Polyester Concrete PC PMMA Wodds, pp PE Mg aloys GFRP PEEK Buty rubber SIN PEEK PET.. 1000 Density (kg/m³) Al alloys CFFP ALO₂ Epoxies PC Ceramics -PTFE Neoprene SC Silicone elastomers Polyurethane" Elastomers Silicone elastomers Ti alloys Polymers SN, Stools Zinc alloys Nontechnical ceramics Taloys Nialays 10,000 Steels Zinc alloys Concrete WC Walloys Cu alloys Metals Lead alloys Guidelines for minimum mass design Lead alloys 10,000 Metals Nalloys Tungsten alloys MFA, 09 Tungsten carbide -Copper aloys Guidelines for minimum mass design MA 09