Compute for the Modulus of Elasticity of the Wood if the Clear Span Length is 2300 mm, applied load is 10lbs and the deflection of the wood is about 16.5mm. Related Lumber Wood Engineering Data: The modulus of elasticity is also known as Young's modulus, named after scientist Thomas young. Determine the slope at A and the deflection at point C of the simply supported beam. The modulus of elasticity of E-glass is 72 GPa and that of epoxy. 2015-09-29 16: . It describes the material's response to shear stress. The rigidity of the diving board depends on the type of wood used. Mechanical Engineering. What kind of rot resistance does loblolly pine have? Modulus of elasticity (MOE) testing Technically it's a measurement of the ratio of stress placed upon the wood compared to the strain (deformation) that the wood exhibits along its length. Nova USA Wood Products LLC. Where: E is Young's modulus, usually expressed in Pascal (Pa) is the uniaxial stress. The elastic modulus was measured to be 9 GPa which is far from average which has been reported (72 GPa). When under stress, materials will primarily expose their elastic properties. In comparison, Red Oak is another well-known wood used in cabinetry and furniture, and has a MOE of 1,820,000 lbf/in2 (12.50 GPa). A is the cross-sectional surface area or the cross-section perpendicular to the applied force. Wiki User. The modulus of elasticity of aluminum is 69 GPa (10,000,000 psi). Modulus of elasticity also referred to as Tensile Modulus or Young's Modulus. Technically it's a measurement of the ratio of stress placed upon the wood compared to the strain (deformation) that the wood exhibits along its length. Average coefficients of variation of E L is 22% based on results of bending tests of clear & green wood from approximately 50 species. In the analysis of wood mechanical properties, many studies have been considered on the use of ultrasonic frequencies [2], [3], [4]. Materials having a low elastic modulus, on the other hand, are easily distorted. 3821 24th Ave, Forest Grove, OR 97116. a - Minimum specified value of the American Society of Testing Materials. Question: Determine the slope at A and the deflection at point C of the simply supported beam. Modulus is defined as being the slope of the straight-line portion of a stress () strain () curve. Modulus of Elasticity of Wood, Wood Engineering Design Data. A 5% error would be 0.6 GPa, and an error around 0.1 GPa should be achievable. . whereas a Nylon polymer has a Youngs Modulus of around 2.4 GPa. ; The practical units used are megapascals (MPa or N/mm 2) or gigapascals (GPa or kN/mm 2). The shear modulus of elasticity of Aluminium is 26 GPa. The shear modulus, or the modulus of rigidity, is derived from the torsion of a cylindrical test piece. Report Multiply your strain values by the appropriate elastic modulus to obtain stress values. Modulus of elasticity (MOE) testing Technically it's a measurement of the ratio of stress placed upon the wood compared to the strain (deformation) that the wood exhibits along its length. Modulus of Elasticity - E - (GPa) Hardboard: 900 - 1000: 31 - 56: 3.1 - 5.5: MDF - Medium Density Fiberboard: 700 - 900: 36: 3.6: Particleboard: 600 - 800: 15 - 24: So just pick any two points on the linear portion, divide the difference in y-values by the difference in x-values, and you have your modulus of elasticity! Mechanical Engineering questions and answers. Two loads of the same magnitude and directions are applied to two beams of the same cross-section . . If the meter stick is assumed to be red maple with the grain oriented in the direction of the length of the beam and the moisture content to be around 12%, the modulus should be 12.4 GPa. YOUNG'S MODULUS (MODULUS OF ELASTICITY) OF WOOD Average Young's modulus values of wood along the longitudinal axis (E L) obtained from bending tests are given in the following table. It depends on what you mean by normal; the harder woods like fir and oak are 1.6x 10E^6 psi while soft pine is 1x 10^6 psi, roughly. Ec = Modulus of elasticity of concrete. The NDT technique has been widely used to determine the dynamic mechanical properties of wood and wood-based composites, such as dynamic modulus of elasticity and damping ratio. The goal of the present study was to obtain modulus of elasticity values of maize rind tissue by using a variety of mechanical loading modes to enable comparisons between these methods. You can also find it measured by gigapascals GPa . The modulus of elasticity of the wood is E = 10 GPa. in the present study, stress-wave velocity of stems, log characteristics (taper, green density, and dynamic young's modulus), and wood properties (basic density, compressive strength parallel. Focusing on the elastic region, if the slope is taken between two stress-strain points, the modulus is the change in stress divided by the change in strain. According to. Hardness of Aluminium . Record strain reading for about ten values of load. The flexibility of solids was first put on a mathematical basis by Thomas Young (1773-1829), physicist, physician and Egyptologist 1 (the first to completely translate the enchorial (demotic) text of the Rosetta . Tensile Modulus is defined as the Any other variation of moisture the measurement will not be accurate. The modulus of elasticity is one of the four elastic constants. In the simplest terms, the modulus of elasticity (MOE) measures a wood's stiffness, and is a good overall indicator of its strength. Young's modulus , the Young modulus, or the modulus of elasticity in tension or compression (i.e., negative tension), is a mechanical property that measures the tensile or compressive stiffness of a solid material when the force is applied lengthwise. Carbon Fiber 1 N/m2 = 1x10-6 N/mm2 = 1 Pa = 1.4504x10-4 psi 1 psi (lb/in2) = 144 psf (lbf/ft2) = 6,894.8 Pa (N/m2) = 6.895x10-3 N/mm2 Note! Obviously some materials are more bendable/flexible than othersrubber is more flexible than concrete. F is the force of compression or extension. Publication types Comparative Study Review The measurements you find with these expressions will assume that the wood has been dried to a 12% moisture content. Plot the flexure stress values vs load. Modern-day diving boards are made of aircraft-grade aluminum 69 GPa (10 Msi). | The modulus of elasticity of E-glass is 72 GPa and that of epoxy resin is 3 GPa. Since the volume is inversely proportional to the density, it follows that The International Standard unit of Flexural Modulus is the pascal (Pa or N/m 2 or m-1.kg.s-2). The modulus of elasticity of the wood is E . Testing of composites and wood Testing of biomaterials and polymers Testing of metals and alloys . Copy. Modulus of Elasticity. The modulus of elasticity is defined as: Modulus of elasticity = Stress/ Strain There are three types of moduli (a) the Young Modulus - tensile and compression longitudinal stress (b) the shear modulus - a shearing stress (c) the bulk modulus - volume changes of the specimen The Young Modulus Modulus of elasticity and Poisson's coefficient of typical ceramic materials. Tensile Modulus - or Young's Modulus alt. ACI 318-08, (Normal weight concrete) the modulus of elasticity of concrete is, Ec =4700 f'c Mpa and. Elastic ratios for various wood species at approximately 12% moisture content - see bottom of webpage. The Elasticity of Glass. Modulus of Rupture, frequently abbreviated as MOR, (sometimes referred to as bending strength), is a measure of a specimen's strength before rupture. Remember, this modulus is called "Young's modulus" when the stress-strain graph shows pure tension, but "modulus of elasticity" is a broad term that refers to stiffness in any direction. Load the beam in uniform increments and record the strain gage readings for each load. In the simplest terms, the modulus of elasticity (MOE) measures a wood's stiffness, and is a good overall indicator of its strength. Rot Resistance: The heartwood is rated as moderate to low in decay resistance. Modulus of elasticity measures the resistance of a material to non-permanent or elastic deformation when a ratio of stress is applied to its body. At 0.1 Hz the modulus ranged from 14.3 to 15.2 GPa; for 1.0 Hz the range was 14.6-15.5 GPa and for 10 Hz the range was 14.9-15.8 GPa. ; In the US customary units, it is expressed as pounds . is the strain. f'c = Compressive strength of concrete. Its symbol is G. The shear modulus is one of several quantities for measuring the stiffness of materials and it arises in the generalized Hooke's law. The modulus of elasticity shows the stiffness of the material to resist axial deformation. Material; Modulus of Flectural Compressive Form Elasticity Strength Strength Poisson's Density or Treatment (GPa) (MPa) (MPa) Ratio g/cm2 Glass, soda-line 0.23 [2] MoSi 2 0.158-0.172 [3] Source:Somiya;[1]Oxide Handbook;[2]Callister;[3]Materials Handbook POLYMERS Material; Form or Treatment Modulus of Elasticity (GPa) Yield Strength (MPa . To know the accurate value of elastic modulus of a . The elastic modulus is an intrinsic property of a material, and so it varies by material type. Modulus of elasticity (MOE) testing. Modulus of Elasticity Example. Bulk Modulus of Elasticity. Mild steel- E= 200 GPa Cast iron E= 100 GPa The main factors which may affect the values determination of modulus of . The dynamic test produced a range of modulus values. Modulus of Elasticity of Concrete can be defined as the slope of the line drawn from stress of zero to a compressive stress of 0.45f'c. As concrete is a heterogeneous material. Modulus of Elasticity - is a measure of stiffness of an elastic material. MOE is expressed in pounds-force per square inch (lb f /in 2) or gigapascals (GPa). modulus of elasticity for the nonporous material is 340.74 GPa Explanation: given data porosity = 303 GPa modulus of elasticity = 6.0 solution we get here modulus of elasticity for the nonporous material Eo that is E = Eo (1 - 1.9P + 0.9P) ..1 put here value and we get Eo 303 = Eo ( 1 - 1.9 (0.06) + 0.9 (0.06) ) solve it we get The equation for Young's modulus is: E = / = (F/A) / (L/L 0) = FL 0 / AL. Rubber (.055 GPa) and steel (180 GPa) have their own modulus values, and those values don't. Modulus of Elasticity, Young's Modulus For Common Engineering Materials Table Engineering Metals and Materials Table of Contents The following chart gives ultimate strength, yield point and modulus of elasticity data for steel and iron. Here are some values of E for most commonly used materials. Modulus of elasticity: Poisson's ratio: GPa: 10 6 psi: Ceramics and semiconductor materials: Aluminum oxide (Al2O3) 99.9%: 380: 55: The stress induces them to deform, but the material will resume to its earlier state after the stress is eliminated. Engineering ToolBox - Resources, . The difference between the two materials is very large. See answer (1) Best Answer. It is called as "modulus of elasticity in bending," but other names are also used, such as modulus of elasticity, elastic modulus, or simply modulus.. Wood The elastic moduli (Young's Modulus, Shear modulus and Poisson's ratio) and damping of composites can be accurately characterized by the non-destructive Sonelastic Systems testing at room temperature and as a function of temperature and/or time. Oak has an E value of 11 GPa (1.6 Msi), and pine is 9 GPa (1.3 Msi), which is more flexible than Douglas Fir. The Young's modulus of elasticity of Aluminium is 11 MPa (pure), 400 MPa (alloys). The results are of value in the design and analysis of restorative materials. P:503-419-6407 F:216-373-4931 If the value of E increases, then longitudinal strain decreases, that means a change in length decreases. Moment of Inertia of the wood is 2.75x105 mm4 a 2.63 GPa b 2.49 GPa c 2.59 GPa d 2.74 GPa The load-deformation behaviour of concrete is in fact non-linear, though generally in practice, an elastic modulus is adopted for convenience. The bulk modulus (which is usually positive) can be formally defined by the equation where is pressure, is the initial volume of the substance, and denotes the derivative of pressure with respect to volume. Most of these studies utilized only a single test method, and the reported values for rind modulus varied between 0.26 and 20 Gpa. The following table is Structural Lumber Wood Engineering Properties. What is the modulus of elasticity of OSB? Is it possible to be like this or it could be because of the problem in calibration. Modulus of Elasticity of Aluminium. MOE is expressed in pounds-force per square inch (lb f /in 2) or gigapascals (GPa). Record modulus of elasticity values for the beam materials. It is the slope of the stress-strain curve up to the proportionality limit. Additional Links Forest Products Laboratory References 1. Modulus of Elasticity is expressed as pounds of force per square inch lb f /in 2 . The strength of concrete is dependent on the relative proportion and modulus of elasticity of the aggregate. The modulus of elasticity (to the nearest unit magnitude) for a composite material consisting of 60% by volume of continuous E-glass fibre and 40 epoxy resin for the matrix, when stressed under . For this curve, we can write the value of Modulus of Elasticity (E) is equal to the slope of Stress-strain curve up to A. Douglas Fir has a Modulus of Elasticity of 13 GPa (1.9 Msi). Modulus of elasticity is a measure of the stress-strain relationship and is an important parameter in the evaluation of the deformation response of concrete under working loads. It is used to describe the elastic properties of objects like wires, rods or columns when they are stretched or compressed. Density, fibre stress, compressive strength and modulus of elasticity of clear wood, panel and structural timber products. IS:456 the modulus of elasticity of concrete is 5000f'c, MPa. Young's modulus can be used to predict the elongation or compression of an object as long as the stress is less than the yield strength of the material. The Young's modulus of a material, E (Modulus of Elasticity or Tensile Modulus) is the measure of member stiffness of a material under elastic deformation. 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