A long rigid cylinder with radius was coated with an elastic material with elastic modulus of...
Problem 1: (a)A thick-walled cylinder, made from a homogeneous and isotropic elastic material, has an inner radius a and outer radius b. The cylinder is subjected to an internal pressure pi, and is under plane stress conditions. In this case the displacement field is of interest is given by and the stress field of interest is given by C2 C2 where, with (E and v) denoting the Young's modulus and the Poisson's Ratio. EA EB Show that b2 b2 (b/a)2-1)...
13. (a) The cylindrical walls of a vessel of outer radius R and wall thickness (t <<R) are made of an isotropic linear elastic material with modulus E and Poisson's ratio v. The end caps are rigid. If the vessel is empty (zero gage pressure), the vessel fits precisely (without any stress) inside a rigid frictionless well. A pressurized fuel is introduced in the vessel so that the internal gage pressure in the vessel is now P. For these conditions...
For the following fiber and matrix material properties Fiber (F) Matrix 1 (M1)Matrix2 (M2) Elastic Modulus Shear Modulus Poisson's Ratio Densitv 85 GPa 35 GPa 0.20 2500 kg/m 3.5 GPa 1.5 GPa 0.30 35 GPa 15 GPa 0.30 1200 kg/m3 1800 kg/m Use following fiber volume ratio values with 0.05 increment. Vf - (0,0.05, 0. 10, 0.15, 0.20, 0.25,..,1) 1. (25 pts.) Determine the fiber to composite load ratio (F/ ) vs. fiber volume ratio Vf) curves for F-M1 and...
A cubic block of side lengths h and mass density p rests on a horizontal flat rigid plate, as shown. Assuming that the cube is isotropic and linearly elastic, whose material properties are characterized by the Young's modulus (E) and Poisson's ratio (v), determined the strain distribution in the cube due to the gravity field. For what value(s) of the Poisson's ration the cube will not change its lateral dimensions? gravity
A cubic block of side lengths h and mass...
5. Figure 5 shows a door handle that is to be bolted to a rigid vertical surface. The vertical part of the handle comprises a solid cylinder of diameter d and length L that is attached at the ends to rigid brackets that are to be bolted to the wall. The material of the cylinder has density p, Young's modulus E and Poisson's ratio v. Throughout the assembly process, the engineer's assistant supports the whole weight of the handle by...
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+), where λ-RRi. Plot in a diagram the value of η as function of λ.
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+),...
1). Two spherical balls are contacting each other due to a pair of compressive forces F = 50 N. The bigger ball with a radius of R2 = 20 mm is made of a steel with elastic modulus of 210 GPa and Poisson's ratio of 0.3. The smaller ball with a radius of R1 = 5 mm is treated as a rigid body. According to Hertz contact theory, what is the pressure distribution along a radial path in the contact...
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QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and a A closed cylindrical pressure vessel illustrated in the figure below is pressure of 5.0 MPa. The vessel is made of steel with a Poisson's ratio of 0.29. A delta strain gauge rosette, attached to the external surface of a closed cylindrical pressure vessel measures the following strains a 74 x 10-6 10-6 E60 246 x 248 x 10 E120 Determine the strain components...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four loading conditions by applying a force F 20 kN. The first sample is a solid circular bar with a 4 cm diameter. The second sample is another circular 4 cm bar, but with a 3 cm diameter hole bored down the centerline. The undeformed (original) length of both samples is Lo 80 cm ne any stresses are below the elastic limit for the material....
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Problem 8.5-3 A cylindrical pressure vessel having radius r-300 mm and wall thickness t 15 mm is subjected to internal pressure p 2.5 MPa. In addition, a torque T120 kN-m acts at each end of the cylinder (see figure) (a) Determine the maximum tensile stress ?mix and the maximum in-plane shear stress Tmax in the wall of the cylinder torque T? 30 MPa and 76 MPa, respectively, what is the minimum required...