Problem 12. Two strain gauges a and b are attached to a plate made from a material having a modulus of elasticity of E=70GPa and Poisson's ratio v=0.35. If the gauges give a reading of εa 450(10-6) and ε=100(10-6), determine the intensities of the uniform distributed load wx and Wy acting on the plate. The thickness of the plate is 25 mm. Note: no shear force acts on the plane along the x and y axes Wy

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Q1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Q1. The bracket is made from steel with Esteel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings: Ea= [ 100+20 ] (10-6) Es = -200(10-6) E = -180(10-6) (а) Prove that E= Eaand &y= Ec. (b) Determine the shear strain, y and the normal strain, Ez and Ey. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, and

The strain gauge is placed on the surface of a thin-walled steel boiler as shown The gauge is 0.5 in long and it elongates 0.17(103) in when a pressure is applied. The boiler has a thickness of 0.5 in and inner diameter of 60 in Est = 29(10³) ksi, st = 0.3 (Figure 1) Figure 0.5 in. X 1 of 1 60 in. Determine the pressure in the boiler. Express your answer using three significant figures and include the appropriate units. P = Submit ▾ Part B 0 Value HA Submit Request Answer Ymax in plane Determine the maximum x y in plane shear strain in the material. Express your answer using three significant figures. Units ΑΣΦ | 4 Request Answer ? vec WYCZA ?

A force P and a force Q, applied via a nut, are acting on the arm attached to the end of a shaft made of steel. The strain gauge readings on point A of the shaft show the following deformation values: ε1 = 630x10-6, ε2 = 600x10-6, and ε3 = - 189x10-6. Determine the magnitudes of the applied forces P and Q (E = 200 GPa, υ = 0.3).

(b) Three strain gauges were arranged in the form of a rectangular rosette and positioned on a test surface, the measured strains were as follows: 81-350 x 10 82-110x 10 E=230 x 10 Determine (1) the principle strains; (1) the principle stresses, the direction of the greater principle strain relative to gauge I. Also draw the Mohr's Strain Cirele. Take the Modulus of Elasticity value to be E-210 GN/m and Poisson's ratio - 0.3.

The 45° strain rosette is mounted on a surface of the bracket . The bracket is made from steel with Esteel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings:Ɛa = [ X+Y ] (10-6)Ɛb = -200(10-6)Ɛc = -180(10-6) x=100,  y=100 (a)  Estimate the in-plane principal strains and the angle associated with the principal strains, and (b) Calculate the principal stress associated with the principal strains in (a).

The 45° strain rosette is mounted on a surface of the bracket . The bracket is made from steel with Esteel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings:Ɛa = [ X+Y ] (10-6)Ɛb = -200(10-6)Ɛc = -180(10-6) x=100,  y=100 (a) Prove that Ɛx = Ɛa and Ɛy = Ɛc. (b) Determine the shear strain, γxy and the normal strain, Ɛx and Ɛy.

2a. The delta strain gauge rosette shown in Figure 2a is attached to a structural component and measures the following strains: ɛ = 775x10°, ɛz = 415x106, ɛ̟ = -515x10°. Determine the principal strain and principal stress components in both magnitude and direction given that the structure has a Young's Modulus of E = 200×10° N/mm? and Poisson's ratio of v = 0.3. Show the directions of the principal stresses on a properly oriented stress element relative to the x,y coordinate system. 60° 60° 60° Figure 2a

A rectangular aluminum plate of uniform thickness has a strain gauge at the center. It is placed in a test rig which can apply a biaxial force system along the edges of the plate as shown below. If the measured strains are +0.0005 and +0.001 in the x and y directions respectively, a) Determine the corresponding stresses set up in the plate and the strain through the thickness, εz. Take E=72 GPa and ν=0.32. b) Construct the Mohr’s circle for the loaded plate. c) State the values of the principal stresses.  d) Determine the maximum shearing stresses and the directions of the planes on which they occur.