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- Consider the material Al-$456 It has the following physical ploperties Syleld = 230mPA %3D s-72GPA (modulos elasticity) Oultimate=315 mPA G- 28GPA Cmad vlus rigidity) Tuield =130 mPA Joltimate=185 mPA A Calculate Poisson's ratio B) If we have a following dimensions And Forces 3-0 block of Al-5456 with the Ex =800N X= Bcm Fy=1000N ) Is Our block Safes (consider only plane stes) Dset up the 3 eqetions to find the strains (Ex Ey E2) in each directian E Solve the 3exuations to find the Einal dimensions of our blockThe bending moment diagram and cross-section for a beam are shown below. Use the elastic flexural formula ox = -Mzy/l, to determine the required strength of the beam to resist the compressive stresses. Circle the correct answer for the compressive strength in ksi: 2.3, 2.5, 27.5, 30, 37.7 Show your work below. Bending Moment Diagram Beam Cross-Section 4" +50 2' (K-Fe) 2" 2" - 40 2"The plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 9 kN/m, L = 5.5 m, E = 220 GPa, and I = 100 x 10° mm“. Wo L3 A slender radis Subjected to tenston, the laod is inceeased incremen = 160* 10 (MP) entally and the plot at left' isobined. 320 * What can be said for ultimate stronpth? 0.004 0.002 * If the loading is kept untid to o is 320MPa *The vateriel which the cod is node of, duc tile noteriel, explain why? ond suddnly withdrawn, what will Be the permanant stroin? is * If the looding is ceoscd at some louel and the rod is released and Eenp lengineering strain) Come out to be 0.003, what will be the Correspendny true stran (E)?Q1) The stress function (x) for the cantilever beam as shown in the figure is given by: P $(x) = (x²-3xy) — 8c a) Is (x) a valid airy stress function? Determine the stress field on AC. b) Verify that this stress field meets the boundary conditions where V = ² c) Verify that the vertical displacement of C is given by 8 = where E is the PL³ 6E12¹ elastic modulus of the material, and I is the moment of inertia of the rectangular section of the plate. с L FIG. 1 x +can you resolve the problem but with 10mm diameter, l=100mm, P=7850N, change in diameter = 3.25x10^-3mmThe beam is subjected to the load shown in (Figure 1). EI is constant. Figure x 4m 3 kN/m 3 m- 50 kN 3 m 1 of 1 Part A Determine the displacement at x = 6 m. Express your answer in kilonewtons times meter cubed divided by the product of bulk modulus and area moment of inertia to three significant figures. Enter positive value if the displacement is upward and negative value if the displacement is downward. V = Submit Part B 0A = - ΑΣΦ Submit ↓↑ vec Request Answer VE ΑΣΦ Determine the slope at A. Express your answer in kilonewtons times meter squared divided by the product of bulk modulus and area moment of inertia to three significant figures. Enter positive value if the slope is counterclockwise and negative value if the slope is clockwise. ↓↑ vec = Request Answer ? 1 kN.m³ ΕΙ ? Review X 1 kN-m² ΕΙThe nodal coordinates and the nodal displacements for some plane stress elastic element is listed in the following problem. The element is 0.1 m thick. The coordinates and displacements are given in meters. (a) Calculate K(1,1) of the element stiffness matrix (b) Calculate the element stress [16 D = 106| 4 4 01 16 0 (N/m²) 61 1 N1 = (a1 + bịx+ Cy) 2A 1 N2 = 2A -(a2 + b2x + c2y) 1 Na = (az + bzx + C3y) 2A b1 = y2 - y3 a1 = X2y3 - X3y2 a2 = X3y1 - X1y3 C1 = X3 – X2 C2 = X1 – X3 C3 = X2 - X1 b2 = y3 - Yı az = X1y2 - X2y1 b3 = y1 - Y2 X1 = 2 X2 = 1 X3 = 1 y2 = 1 v2 = 0.001 Y1 = 2 Y3 = 0 U1 = 0.003 Uz = 0.0015 V1 = 0 v2 = -0.003 v3 = 0.0strength of material MENG222 Please solve the problem step by step and make your line clear and don't forget FBD and show me your step Please make sure your answer is correct please p1=123 p2=12Find the displacement and stress of each Member of the truss and write the stiffness Matrix for each MeMber. **PLEASE Use Finite Element Methods** E = 29000 ksi A= (pi*d^2)/4, when d^2= 1.5^2 %3D ASSUME Supports and conditions O solb 68 60.2 in 22 in 134 16 56 in B-876The Airy stress function for a cantilever beam loaded by a force applied at the opposite side to the built-in end is given by p=Axy 3 where the x coordinate runs along the length of the beam, the y coordinate runs along the width of the beam and A is an arbitrary constant which can be determined through application of boundary conditions. Which equation gives the shear stresses, ? O 0 O 6Axy O-3Ay² O-6AxySEE MORE QUESTIONS