The X- axis strains with oriented angle of the bone surface are shown in table X- axis strain (x 10-5) Oriented angle (degree) 3 -0.4 40 140 Determine the principal stresses. Known modulus of elasticity 8 GPa and Poisson ratio is 0.3.
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- 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?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.
- Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 5 mm & Modulus of Elasticity 207 GPa. It is found that the specimen has undergone an extension of 1.2 mm due to the elastic load "F". Also, determine the length "L" of the specimen, if the strain-induced due to the load "F" on the specimen is 3 x 10-³. Solution Cross-sectional Area, A (in mm²) = Tensile Stress, (in N/mm²) = Tensile Load, (in N) = Length of the Specimen (in mm)Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 9 mm & Modulus of Elasticity 201 GPa. It is found that the specimen has undergone an extension of 1 mm due to the elastic load "F". Also, determine the length "L" of the specimen, if the strain- induced due to the load "F" on the specimen is 3.6 x 10-³. Solution Cross-sectional Area, A (in mm²) = 63.617 One possible correct answer is: 63.617251235193 Tensile Stress, (in N/mm²) 723.6 One possible correct answer is: 723.6 Tensile Load, (in N) = = 46033.261 One possible correct answer is: 46033.442993786 Length of the Specimen (in mm) 4.366 X One possible correct answer is: 277.77777777778A rectangular block has dimensions of 3 in, 4 in, and 5 in along the X-, y-, and z- axes, respectively. The block is subjected to triaxial loading of three uniformly distributed loadings of 30 kips (C), 45 kips (T), and 60 kips (C) along the x-, y-, and z- axes, respectively. If the strain along the X- axis and the z-axis are 0.00021 (C) and 0.00042 (T), respectively, determine the Poisson's ratio and the modulus of elasticity of the material. Also, what is the change in volume of the material?
- An element of bone in plane strain where the state of strain are = 12 x 10-4). Find (a) the stresses at (Ex = 8 x 10-4, €y = 5 x 10-4, Yxy orientation a counterclockwise angle (40 deg.) from the x-axis, b) the strain energy and (c) the failure stress by Von Misses criteria. Known Modulus of elasticity = 2 x 10° N/m² and Poisson's ratio = 0.3H.W. 3 The X- axis strains with oriented angle of the bone surface are shown in table X- axis strain (x 10-5) Oriented angle (degree) 2 3 -0.4 40 140 Determine the principal stresses. Known modulus of elasticity 8 GPa and Poisson ratio is 0.3.A material is subjected to the following strain system,ex=200x10-6, ey=-56x10-6,yxy=230x10-6. Using graphical method, determine A. The principal strains B. The directions of principal strain axes C. The linear strain on an axis inclined at 50o counter clockwise to the direction of ex Given that young's modulus for the material is 207GN/m2 and the poisson's ratio is 0.27, determine the principal stresses
- Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 5 mm & Modulus of Elasticity 199 GPa. It is found that the specimen has undergone an extension of 1.2 mm due to the elastic load "F". Also, determine the length "L" of the specimen, if the strain- induced due to the load "F" on the specimen is 4.9 x 10-3. Solution Cross-sectional Area, A (in mm2) Tensile Load, F (in N) Length of the Specimen (in mm)Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 9 mm & Modulus of Elasticity 205 GPa. It is found that the specimen has undergone an extension of 1.7 mm due to the elastic load "F". Also, determine the length "L" of the specimen, if the strain-induced due to the load "F" on the specimen is 3.7 x 10-3. Solution Cross-sectional Area, A (in mm2) Tensile Load, F (in N) Length of the Specimen (in mm)The strain rosette shown in figure was used to obtain strain data at a point on the surface of a machine part. If the readings from gages a, b, c were 650, -450, -585 (all in microns) respectively; which of the following is the shear strain on the surface? 45° a Lutfen birini seçin a1370 micron b. 1570 micron c1400 micron d7600 micron