Determine the total strain (mm/mm) of a 2.70-m bar with a diameter of 21 mm subjected to a tensile force of 63 kN at a temperature increase of 77 C° Consider the a=37.8 µm/mC° and E = 114 GPa.
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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.An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
- - 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?7) The strain of a component, which has a tensile modulus of 4 X 105 MPa, and subjected to a stress of 6000KPa, is a. 0.000015 b. 0.00015 c. 0.00003 d. 0.0035 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.
- What 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. 0.002If the normal strain is defined in reference to the final length Δs′, that is,P= = lim Δs′S 0 aΔs′ - Δs Δs′ b instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a second-order term, namely, P - P= = P P′.Determine the strain if a rod is experiencing a stress of 70,000kPa with a modulus of elasticity of 175 GPa.a. 300 x 10−6b. 400 x 10−6c. 500 x 10−6d.. 600 x 10−6
- A sheet of steel is stretched biaxially in the xy-plane. The strains in the sheet are described below. Determine the stresses along the x and y axes. Use E=200 GPa and v=0.28 Ex = 0.4 x 10‐³ Ey = 0.3 x 10‐³A 2m long rod of radius 1 cm which is fixed from one end is given a force of 8 N. Calculate the longitudinal strain developed. take E=2.5×10^11 N/m^21/. The area of a steel bar is 80 square millimeter and length is 0.058 m long. It is stretched with a force and extended by 0.615 mm. calculate the strain in the bar. a. 0.08755 b. 0.01060 c. 0.05821 d. 0.08521