A soft material is placed within the confines of a rigid cylinder which rests on a rigid support. determine the effective modulus of elasticity of the rubber under the confined
condition, i.e.,
A soft material is placed within the confines of a rigid cylinder which rests on a...
A long rigid cylinder with radius was coated with an elastic material with elastic modulus of E100GPa and Poisson's ratio of v 0.25 and was subjected to hydrostatic pressure p . If the radius of the rigid cylinder is a and the coating thickness is t, use the Airy stress function to determine the followings: Stress components at the interface, r-a Maximum and minimum values of ơ, that may occur at the interface for different coating thickness -
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...
2) The rigid bar CDE is attached to a pin support at E and rests on the 30-mm diameter brass cylinder BD. A 22-mm-diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 50°C while the steel rod remains at 20°C. Assuming that no stresses were present before the temperature...
2) The rigid bar CDE is attached to a pin support at E and rests on the 30-mm diameter brass cylinder BD. A 22-mm-diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 50°C while the steel rod remains at 20°C. Assuming that no stresses were present before the temperature...
The rigid beam BD is supported by a smooth pin B, two circular rods at points C and D and is subjected to two concentrated loads as illustrated below. Neglect the weight of the rigid beam and assume that when W= 0 the rigid beam is in the horizontal position and the rods are stress-free. Assume small rotations 2) (1 Assume that h 119 mm and b 112 mm Use the compatibility equations (geometry of deformation) to obtain the ratio...
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)...
Part A The plug has a diameter of 30 mm and fits within a rigid sleeve having an inner diameter of 32 mm Both the plug and the sleeve are 50 mm long. The plug is made from a material for which E 1 MPa,v 0.4 Determine the axial pressure p that must be applied to the top of the plug to cause it to contact the sides of the sleeve Express your answer to three significant figures and include...
Consider a member with a rectangular cross section subjected to a compressive load P which is delivered through a rigid block on the upper end of the member as illustrated below. The upper end of the member is free to rotate about both axis directions, but is constrained from lateral deflection in one of the directions by the rigid guide plates illustrated. The lower end is hinged and this allows rotations about one axis direction only. Assume the member is...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
Design the cooling system used to manufacture the leg of a table, shown in Fig.2. You will have to determine the required diameter D so that the leg can withstand 100 kg of axial loading. Once the diameter has been determined, you will need to determine the Revolutions per Minute (RPMs) of the fan needed to cool down the leg to 90-C in less than 2 minutes before it starts deforming after being 3D printed. Consider the leg of the...