3) For a \(60^{\circ}\) angle lamina of graphite/epoxy with \(70 \%\) fiber volume fraction under stresses in global axes as \(\sigma_{\mathrm{x}}=6 \mathrm{MPa}, \sigma_{y}=2 \mathrm{MPa},\) and \(\tau_{\mathrm{w} y}=-4 \mathrm{MPa},\) and using the properties of the given unidirectional lamina from the book, find the followings;
a. Local stresses and strains
b. Principal normal stresses and principal normal strains
c. Maximum shear stress and maximum shear strain
The Value of Elastic Modulus and Shear Modulus is taken as 10.3 GPa and 7.17 GPa Respectively from the Properties of Graphite Epoxy with 70% Fiber Volume.
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- direction (the direction parallel to the fibers in the 0° ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. a) Calculate the resultant strains of the laminate b) Calculate the global stresses in the laminate c) Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of...
235 Find the off-axis shear strength and mode of failure of a 60 boron/ epoxy lamina. Use the properties of a unidirectional boron/epoxy lamina from Table 2.1. Apply the maximum stress failure, maximum strain, Tsai-Hill, and Tsai-Wu failure theories. TABLE 2.1 Tvpical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass Boron/ Graphite/ Property SymbolUnits epoxy epoxy epoxy Fiber volume fraction Longitudinal elastic modulus Transverse elastic modulus Major Poisson's ratio Shear modulus Ultimate longitudinal tensile strength Ultimate longitudinal...
2. For a graphite/epoxy unidirectional lamina (un-oriented lamina), find the following: ,--3 MPa 1) Compliance matrix 2) Stiffness matrix 3) Resultant strain under the applied stresses 12-4 MP 2 MPa τ12 Typical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass Boron/ Graphitel epoxy epoxy Property Symbol Units epoxy Fiber volume fraction Longitudinal elastic modulus E Transverse elastic modulus E, Major Poisson's ratio Shear modulus Ultimate longitudinal tensile (σ1he 0.45 0.70 10.30 7.17 GPa GPa 38.6 8.27 18.50...
An existing steel beam is in use in a building. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads which simulate crowd loading. It is necessary to calculate the principal stresses to check whether the beam is safe for its current purpose (ie: assess whether the stresses determined are less than the maximum permissible stresses) Figure 4: Strain gauge rosette location and recorded strains In this case it is reasonable...
End of Semester 1, 2018 STEN2002 Civil Engineering Materials (Total Mark for Question 4: 18) Part A - Question 4 7 complicated frame that was difficult to analyse Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the principal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the design of the...
homework help. need help figuring out out to solve this problem? please show steps and box answer. Find the local stresses at the middle of the 30° ply in a [30/45] glass/ epoxy laminate that is subjected to the following mechanical and hygrothermal loads: Nr 108 lb/in.; ΔΤ -100°F; AC 500. Use the properties of a unidirectional glass/epoxy lamina given in Table 2.2 The thickness of each lamina is 0.005 m TABLE 2.2 al Mechanical Properties of a Unidirectional Lamina...
Consider a single lamina of unidirectional kevlar-epoxy with a fiber orientation angle of 55 degress . You may use a computer or do the calculations by hand but must show your work. Use the lamina properties provided in Lesson 3, Slide 19 in SI units. The lamina is loaded with stresses {x, y, xy} = {125, -10, 20} MPa. a. Sketch a complete and useful figure for this problem, including all relevant coordinate systems. b. Calculate the strains in the...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and - 50 x 10-6 units together with an unknown sheer strain, if the principal strain in the material is 420 x 10 units. If E - 200 GN/m? - 0.3, determine the following. a. a) Magnitude of the shear strain b. b) The other principal strain C. c) The direction of principal strains axes d. d) The magnitude of the principal stresses 1. 5. For...
please solve 2 and 3 1- The reduced stiffness matrix [Q] is given for a unidirectional lamina as follows: 5.681 0.3164 0 ] [Q]=0.3164 1.217 0 Msi I 0 0 0.6006 Calculate the four engineering constants E1, E2, V12, G12 of the lamina. 2- Calculate the transformed reduced stiffness [Q] for the above problem for 0 = 30°. Glass 3- A glass/epoxy lamina consists of 70% fiber volume fraction. Use properties of glass and epoxy from the tables below to...