The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10),...
PROBLEM 1: The 45° strain rosette is mounted on the link of the backhoe. The following readings are obtained from each gauge 650[10). = -300(10) = 480(10"). Determine principal stresses on the link if it is made from steel with modulus of elasticity E - 200 GPa and Poisson's ratio v 0.3. (30p) A 2 Strain Rosettes Transformation equations (45°configuration) Ex = {a Ey = {c Yxy = 2ęp – (@a+ ac) Transformation equations (60°configuration) Ex = {a Ey =...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure, the following strains were established from the measurements taken:£x = 75x10", Eyy =-115x10-6 = 210 10-6 and Yxy yy (i) Determine the corresponding normal stresses Ox and and shear stress txy. For mild steel, use Young's modulus E= 205 GPa , Poisson's ratio v=0.3 and shear modulus G = 78.8 GPa. [6 marks] (ii) Using the values obtained in (i), determine the principal stresses...
Asap 1. The bracket is made of steel (Young's modulus 200 GPa; Poisson's ratio 0.3). When the force P is applied to the bracket, the gages in the strain rosette at point A have the following readings: E.-60 μ . Ep 135 μ l, and E.-264 μ (a) Determine the shear strain at point A. (b) Determine the orientation of the principal plane, the in-plane principal strains, the maximum in-plane shear strain, and the average in-plane normal strain. Determine the...
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 strain rosette shown in the figure was used to obtain the following normal strain data at a point on the free surface of a machine part: Ea = 640 pe Eb = -1600 ue Ec = -1255 ue 45° 45° Calculate the strain components on the machine part at this point. Ex = με με Ey = Yxy = i i urad
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...
Will rate. P13.067 The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values Ea = eb -165 ?? , ec- 130 ?? , E = 10,200 ksi, and v = 0.33, determine -170 ?? , (a) the stress components Ox , ? ? , and Txy at the point (b) the principal stresses and the maximum in-plane shear stress at the point; on paper, show...
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...
The state of strain at point A has components of Ex=215 x 10-8 Yxy 195 x 10-6 Ey -305 x 108 Use the strain transfomation equations to determine
Question 1 The cylindrical pressure vessel shown has an inside diameter of 625 mm and a wall thickness of 5 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 70 GPa and a shear modulus of G-26.3 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other; however, the angle θ is not known. If the strains measured by the two gages are...