An aluminium block is subjected to the following stresses in two of the three perpencicular directions:...
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at the point of interest are as follows (units of MPa are assumed): 0x =-87 Oy =36 Txy =-77 Determine the normal strain in the z-direction, Ex, in microstrain (to one decimal place). So if the value is 18.4 E-06, just enter "18.4". You may assume Young's modulus is 72 GPa and Poisson's ratio is 0.3 for this material.
The measured strains are ε,-8001s, eb--420 μs and ε.-640 μs. The material is Al 2024-T4 aluminium alloy. (a) Determine the strains in x-y axes (Ex, Ey and Yxy) and show them in deformed element. Calculate the stresses by using material properties given in the Table. (b) Determine the stresses for the oriented element in 0 30° from the original position in the counter clockwise direction by using Mohr circle and represent the stress state. 60° 60 Young's Modulus (GPa) 73...
Please include all parts! Problem 2: The state of stress at a point is given by 80 20 40 [a] 20 60 10|MPa 40 10 20 (a) Determine the strains using Young's modulus of 100 GPa and Poisson's ratio of 0.25 (b) Compute the strain energy density using these stresses and strains (c) Calculate the principal stresses and principal stress directions (can use the MATLAB command) (d) Write the strains calculated in (a) above in the form of strain matrixel...
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v for the material (2) Modulus of elasticity E for the material. (3) Strain energy density u. 13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
Do let me know if it's visible or not . thank you 3 a) Dengan dbantu lakaran-lakaran yang sesual, takrifican bentuk umum Hukum Hooke. Terangkan bagaimana hubungan tegasan dan terilkan di satu titilk dalam tiga dimensi boleh didapati, menggunakan Hukum Hooke dan prinsip tindihan. Wth the help of neat skotches, define the general form of Hooke's Law. Explain how the relationship of stress and strain at a point in three-dimension can be abtainod, using Hooke's Law and the principle of...
Question 1 An end capped cylindrical pressure vessel with internal pressure p = fully supported at one end, is also subjected to a force F= 10 kN in the y direction at the other end as shown. The internal diameter of the pressure vessel is d= 160 mm and its thickness is t= 10 mm 3 MPa, assumed to be Determine the magnitudes of the stress components in x, y and z coordinates at points H and K and sketch...
Problem 3: Composite moduli Composites are materials that are composed of two or more distinct composed of two materials with Young's modulus E, (top and bottom components) and Eb (center component), and where 0 < λ < 1. HAL (1-A)L AL Ex (3a) Suppose that the material is subjected to an average stress σχ along the x direction resulting in a strain Ex as shown in the center figure above. Find the effective Young's modulus Eer (in terms of E....
The figure on the left below shows a stress block (plane strain condition is assumed, z axis is not shown here). Its components as well as the material properties are, • 0,= 10 MPa . O, is currently unknown • Txy = 30 MPa • Young's Modulus E = 150 GPa • Poisson's Ratio V=-0.25 • Note: Poisson's Ratio is negative Rotate the x-y axes in the anticlockwise direction by 45° (as shown in the figure on the right below),...