The first parts of the stress-strain relationships of the components of a randomlyoriented composite are shown in Figure P11.25. Estimate the volume percentageof fibers in the composite assuming a fiber efficiency parameter (K) of 0.2.140012001000 -800 EFibers600 -Composite400200Matrix0.0020.0040.006Strain (m/m)FIGURE P11.25Stress(MPa)

Given:- The first parts of the stress-strain relationships are given for a randomly oriented…

Answered: The first parts of the stress-strain…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A fiberglass composite consists of epoxy matrix reinforced with randomly oriented and uniformly distributed E-glass fibers. The moduli of elasticity of the glass fibers and the epoxy are 10 * 106 psi and 1 * 106 psi, respectively.Calculate the modulus of elasticity of the fiberglass if the volume percentage of fibers is (a) 30%, (b) 50%, and (c) 70%. Plot a graph showing the relationship between the modulus of elasticity of the fiberglass and the percent of fibers. Comment on the effect of the percent of glass fibers on the modulus of elasticity of fiberglass.
An elastoplastic material with strain hardening has the stress-strain relation shown below. The modulus of elasticity is 25 x 106 psi, yield strength is 70 ksi, and the slope of the strain-hardening portion of the stress-strain diagram is 3 x 106 psi. a. Calculate the strain that corresponds to a stress of 80 ksi. b. If the 80-ksi stress is removed, calculate the permanent strain.
Properties: Rod 1 8F D = 40 mm d = 20 mm L = 1.3 meter E = 80 Gpa ROD 1 ROD 2 Rod 2 D = 80 mm d = 20 mm L = 1.0 meters E = 80 Gpa 3F 2. The composite rod shown in the figure is composed of three rods rigidly welded together. Applied forces in terms of "F" are exerted in different parts of the composite rod. Compute the maximum safest value of "F" if the allowable total deformation of the composite rod is limited to 0.50 mm only. ROD 3 2F Rod 3 D = 60 mm d = 20 mm L = 1.2 meters E = 80 GPa 7F
The first parts of the stress-strain relationships of the components of a randomly oriented composite are shown in Figure P11.25. Estimate the volume percentage of fibers in the composite assuming a fiber efficiency parameter (K) of 0.2. Stress (MPa) 1400 1200 1000 800 600 400 200 I T FIGURE P11.25 0.002 Fibers Strain (m/m) 0.004 Composite Matrix 0.006
Two composite bars have the following composition. At an initial temperature of 5 degree C, there is an existing gap of 5mm. Bar 1 and 2 have coefficients of thermal expansion of a1 = 140 X106/°C and a2 = 67 X106/°C, respectively. Determine the temperature at which the 5mm gap is closed. GAP (1) (2) | B C A 540 mm 360 mm 75.20 degrees celsius 55.14 degrees celsius 95.25 degrees celsius 25.06 degrees celsius 50.11 degrees celsius O 5.02 degrees celsius 32.66 degrees celsius
If a new type of material that's a hybrid of plastic and wood shavings is brittle and has an ultimate compressive strength of 20 MPa, an elastic modulus of 1000 MPa, and a Poisson's ratio of 0.20, A. Calculate the bulk modulus for plastic wood. B. Calculate the maximum strain that can be put on plastic wood. C. Assuming that plastic wood is isotropic, calculate the maximum hydrostatic pressure that can be put on plastic wood. D. If the plastic wood has a fracture toughness of 0.2 MPa-m.5, calculate the maximum crack length if the stress on the plastic wood is 1 MPa.
The overhead beam in the figure has the composite section given below. The bending moment vector acts at an angle of 0-60 degrees with the horizontal z-axis of the beam section as shown in the figure. Determine the stress at point K of the beam section for the maximum bending moment under the forces acting on the beam. Note: The numerical values of the relevant parameters are given in the attached table for each student. K Z< M 0 40mm 395 mm B2 40mm B1 240 mm + 45 mm H 180 mm 45 mm 32 KN -1.6 m B 2.4 m с 36 kN/m 6.4 m D
What is the maximum diameter of aggregate considering the clear spacing of the reinforcements in mm? 160mm slab Slab=10mm 130mm beam 700mm 17.25cm 500mm 4 Obeam=25mm D =?
A composite sample of carbon reinforced epoxy has dimensions of in 20 in x 20 in x 0.135 in and mass of 3 lb. The carbon fibres have a modulus of elasticity of 80(106) lb/in2 and a density of 0.15 lb/in3. The epoxy matrix has modulus of elasticity of 0.90(106) lb/in2 and a density of 0.05 lb/in3. Assume there are no voids in the sample, calculate the volume fraction of: (i) The carbon fibres (ii) The epoxy matrix in the sample.
A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume L = 340 mm, D1 = 53, d = 37 mm, d2 = 19 mm. If a torque of T = 1200 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in the steel core. (b) the rotation angle of end B relative to end A. (1) T T B L (1) d2 di DI Answers: (a) Talum = i 53.839 MPa Tsteel i 891.026 MPa (b) PB - PA = i 0.02467 rad (2)
A pine wood specimen was prepared with actual dimensions of 50 mm × 50 mm x 250 mm and grain parallel to its length. The deformation was meas- ured over a gauge length of 200 mm. The specimen was subjected to compres- sion parallel to the grain to failure. The load-deformation results are as shown in Table P10.25. TABLE P10.25 Load (Kn) Deformation (mm) 8.9 0.457 17.8 0.597 26.7 0.724 35.6 0.838 44.5 0.965 53.4 1.118 62.3 1.270 71.2 1.422 80.1 1.588 89.0 1.765 97.9 1.956 106.8 2.159 111.3 2.311 a. Using a computer spreadsheet program, plot the stress-strain relationship. b. Calculate the modulus of elasticity. c. What is the failure stress?
An elastoplastic material with strain hardening has the stress–strain relationship shown in Figure 1.6(c). The modulus of elasticity is 175 GPa, yield strength is 480 MPa, and the slope of the strain-hardening portion of the stress–strain diagramis 20.7 GPa.a. Calculate the strain that corresponds to a stress of 550 MPa.b. If the 550-MPa stress is removed, calculate the permanent strain.

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