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# Week 3 notes CIVILEN 3510

OSU

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This 5 page Class Notes was uploaded by Aaron Bowshier on Friday January 30, 2015. The Class Notes belongs to CIVILEN 3510 at Ohio State University taught by Shive Chaturvedi in Spring2015. Since its upload, it has received 119 views. For similar materials see CIVILEN 3510 - Civil Engineering Materials in Engineering and Tech at Ohio State University.

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Date Created: 01/30/15

CE 451 CIVIL ENGINEERING MATERIALS SHAN SOMAYAJI General Framework V Forces Loads and Stresses for Deformable Materials R n Input Forces Maternal espo se Specimen a 1 Laws of Rigid Body Mechanics Newton s First Law Every body continues In its state of rest or of uniform motion in a straight line unless it is acts on by a force Newton s Second Law Force mass acceleration Newton s Third Law For every action there is an equal but opposite reaction 2 Strain 939 can be defined as the ratio between the change in length e and the length over which the change is measured I called gage length Strain is a dimensionless quantity sometimes expressed as inchesinches or metermeter 3Deformation e39 e 1 e axial deformation Axialforce Deformed body Shear force 3 lltgtl l I quot fag T i 914Vquot 4 Mpr VI a CE 451 CIVIL ENGINEERING MATERIALS SHAN SOMAYAJI 3 Stress Stress can be de ned as the measure of a force acting on a unit area of an Types 0 f S t res S imaginary section through a body Axial I Direct d k Compressive 39 I I 39 I 7 AXlal tensmn 39 Shear1ng v 39 Bending v4 Normal l Flexural a i tn Axial compression A AXIal Stresses Shear Stresses v Beam in bending l 7 Compression h 7 Tensmn Neutral Axis Compressive stress Compression Tension Tensile stress Bending Normal and Flexural stresses are produced by external forces that create a bending moment CE 451 CIVIL ENGINEERING MATERIALS SHAN SOMAYAJI a Shear Deformation Change in length measured parallel to the direction or the shear forces b Shear Strain Shear deformation per unit length measured perpendicular to the direction of the shear force 4 Poisson s Ratio 5 Stiffness 6 Elasticity 7 Elastic Limit 8 Proportional Limit 9 Yielding Point 10 Ultimate Strength CE 451 CIVIL ENGINEERING MATERIALS SHAN SOMAYAJI Ultimate H strength 39 Material 1 ductie E ieldpoim RK M PmF rLienal l r 1 limit HIEquot y limit r g Materials nonmetil I If p field retrengtih EEI EEE 4 Strain H Effect 11 Modulus of Elasticity Ratio of stress to strain below the proportional limit I I There are three moduli of elasticity which corresponds to three types of stresses I The modulus of elasticity in compression or tension is referred to as Young s Modulus CE 451 CIVIL ENGINEERING MATERIALS SHAN SOMAYAJI Tangent at f gt r39 If f f I l I I ImtIal tangent zquot I z 1 for r I II Tangent modulus 7 I i f5 at I If X 3 I f I r I g I I Inltlal tangent modulus a I I X I f39 z I 7 f Secant modulus If I I 7 7 139 7 It I Stress e strain anagram I if r r I I If I I I Strain Figure 16 jMoclulus of elasticitm VI Ductile amp Brittle Materials Plasticity is the property of a material that enables it to retain permanent set or deformation without fracture Construction materials are divided into two classes 1 Plastic or ductile 2 Brittle

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