6. A three-block composite structure is loaded through rigid end plates, as s in the figure. What position x of the load results in the end plates being horiz All blocks have the same thickness dimension normal to the view plane. X I -20mm- 50 kN 2 -30mm 3 -20mm- E₁=200 G Pa E2=70 GPa E3-100 G Pa
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To find position of x such that end plates remain horizontal
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- Determine the moment of inertia (in mm4) Īy of the area shown with respect to the vertical line that passes to the centroid of the composite area. Express answer as a whole number.A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached to rigid supports at A and C, respectively. A concentrated load P is applied to flange B in the direction shown. Determine the internal forces and stresses in each rod. Indicate T or C. Also, determine the deflection of flange B in the x-direction. Rod Properties as follows:Area 1 = 680 mm^2E1 = 120 GPaArea 2 = 1,260 mm^2E2 = 200 GPaA 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.
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- Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each materials given that P = 10kN?An inverted T beam (refer to the Figure 4(a)) manufactured from material with the given stress and strain curve (for tension and compression) as shown in Figure 4 (b) . The cross section is subjected to bending moment such that ε= 0.0024 on the extreme fibre in compression. Determine (a) bending moment on the section (b) curvature of the beam. Assume the location of the neutral axis at 60mm from the bottom surface of the beam. Assume the section above the neutral axis in tensionThe 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.
- find the moment of inertia of the composite area shown in the figure below. For the X- Y centroidal axes.A composite column is formed by placing a steel bar 20 mm 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. Modulus of elasticity for steel and alloy is 200000MPa and 70000MPa respectively. Which of the following gives the stress in the steel bar? a. 132.98 MPa b. 46.54 MPa c. 74.80 MPa d. 166.23 MPaA rectangular steel block 250 mmx100 mmx80mm is subjected to axial loads as follows. 480 kN (tensile in direction of its length) 900 kN (tensile on 250mm x 80 mm faces) 1000kN (comp. on 250mm x100mm faces) taking E=200 GN/m2 and 1/m=0.25 find a). Change in dimensions (height, width and length) b). Change in volume of the block c). Volumetric Strain c). Values of N and K (Module of Rigidity and Bulk Modulus) for material of the block. d). Determine the volume difference if the temperature of block increased by 20K. (Take alpha steel = 11.7 x 10-6 / 0C ) e). Discuss the behavioral characteristic for given application Comparing the impact from given mechanical loadings and thermal loadings to the block.