€1= 0.0004 65° 50° €2 = - 0.0005 65° Ez = 0.0003 %3D
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- An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.Three readings are obtained from an equiangular strain gage rosette mounted on a free and unloaded surface of a part. Determine the magnitude of the principal strains and their orientation with respect to the 0° gage. Check the results with a Mohr circle.Assume The three known strains are all linear strainsWhat strain will be produced by a stress of 80 x 106 N/m2, for a given modulus of elasticity 200GPa. a. 0.0008 b. 0.0004 c. 0.004 d. 0.002
- The 60° strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: Pa = -780(10-6), Pb = 400(10-6), and Pc = 500(10-6). Determine (a) the principal strains and (b) the maximumin-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains.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.A single strain gauge is mounted to measure the axial strain in a simple tensile member the recorded strain is 200 microstrain, what is the axial stress ? a) If the member is of steel? b) if the member is of aluminium ? The modulus of elasticity of steel is 200 GN/m² and that of aluminium is 70 GN/m²
- 5 decimal places Determine the total strain (mm/mm) of a 2.64-m bar with a diameter of 21 mm subjected to a tensile force of 71 kN at a temperature increase of 49 C°. Consider the α=27.3 µm/mC° and E = 122 GPa.The strain of a component, which has a tensile modulus of 7 X 105 MPa, and subjected to a stress of 9000KPa, is a. 0.000026 b. 0.000129 c. 0.0026 d. 0.0000129The stress–strain diagram for polyethylene, which is used to sheath coaxial cables, is determined from testing a specimen that has a gage length of 10 in. If a load P on the specimen develops a strain of P = 0.024 in.>in., determinethe approximate length of the specimen, measured between the gage points, when the load is removed. Assume the specimen recovers elastically
- The state of strain on an element has components Px = -300(10-6), Py = 100(10-6), gxy = 150(10-6). Determine the equivalent state of strain, which represents (a) the principal strains, and (b) the maximum in-plane shear strainand the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original elementThe 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 strain rosettes shown in Figures P13.50 were used to obtain normal strain data at a point on the freesurface of a machine component.(a) determine the strain components e x, e y, and γ xy at the point.(b) determine the principal strains and the maximum in-planeshear strain at the point.