3 For a composite bar as shown below, what is the relation between axial deformation and thermal deformations in the bar? Cu tube (1) Steel bar (2) D d- Where, o,, o, = stresses in Cu and steel bar respectively. = Coefficient of thermal expansion for Cu and steel bar respectively.
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- Estimate the transverse tensile strength of the concrete in Problem 12.6.Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.for a given composite figure determine the moment of inertia with respect to its centroid
- A composite column is formed by placing a steel bar, 20 mm in diameter and 200 mm long, inside an alloy cylinder of the same length whose internal and external diameters are 20 mm and 25 mm, respectively. The column is then subjected to an axial load of 50 kN. If E for steel is 200 OOO N/mm’ and E for the alloy is 70 000 N/mm’, calculate the stress in the cylinder and in the bar, the shortening of the column and the strain energy stored in the column.A composite beam is constructed using a steel plate (14 mm ✕ 125 mm) with two wood beams (75 mm ✕ 125 mm) on either side. The wood and steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment Mz = 6.80 kN · m. Calculate the maximum tensile and compressive stresses in the wood and steel if Ew = 11 GPa and Es = 200 GPa. (Enter your answers in MPa. Use the deformation sign convention. Use the general theory for composite beams described in the textbook.) maximum tensile stress in wood MPa maximum tensile stress in steel MPa maximum compressive stress in wood MPa maximum compressive stress in steel MPaA composite beam is made of steel (Est = 300 GPa)and wood (Ew = 15 GPa) materials as shown in Figure 3. The beam is subjected to a positive bending moment (about z-axis from bottom to top) of 60 kN.m. Determine the followings:a) The transformation factor, n. b) The width of steel part transformed to wood and draw the transformedsection. c) The distances h1 and h2. d) Moment of inertia, I of the transformed section. e) The largest tensile and compressive stresses in the wood material. f) The maximum and minimum tensile stresses in the steel material.
- A composite bar is rigidly attached to the wall at A as shown, Axial loads are applied at the positions indicated. -Determine axial stress in member AB (in MPa unit) - Determine the displacement of joint C (in mm unit) -Determine the deformation in member BC (in mm unit)The composite bar is subjected to a normal force P = 7500 lb as shown in the figure. The section of the composite bar is composed of two hollow tubes and a solid steel core. Determine the axial stress developed in each bar. Use Ecu = 18 x 106 psi, Est = 30 x 106 psi, and Ebr = 16 x 106 psi.Determine the maximum moment of inertia of the composite figure shown below, in mm^4.
- A composite section consisting of steel and wood such as depicted. The cross section receives a bending moment M of 850 lb-ft. It is known that the modulus of elasticity of steel is 29000 ksi, while The modulus of elasticity of wood is 1600 ksi. Determine the maximum stress that occurs in each steel and wood parts40-mm sides glass polymer fibers composite cube shown in Figure.2. The Glass polymer fibers aligned in the xdirection. The cube is constrained against deformations in the ? and ? directions and is subjected to a tensile loadof 60 ?? in the x direction. Estimate the strain, change in length and stresses in ?, ?, and ? directions as well asdetermine the volumetric strain. Illustrate the effect of three-dimensional strain by constructing appropriatesketches (before and after deformation for both cube and fibers, assume the fibers have radius of ?). Repeat theanalysis for lower value of tensile load and higher value in the range of [20 -100 KN] and comment on the overallresults. What will happen if the force is compression.The composite bar in the figure is stress-free before the axial loads P1 and P2 are applied. Assuming that the walls are rigid, calculate the stress in each material if P1 = 150 kN and P2 = 90 kN.