The gradient of the elastic region of a stress strain curve is directly related to the Young's Modulus/Nm-2 the failure strength N the elastic limit (Nm-2) the ductile limit %
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- A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).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 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?choose the correct answer Stress divided by Rate of strain is: b. Density c. Unit less a. Surface tension g. None of the above f. Kinematic viscosity e. Dynamic Viscosity d. VelocityUsing the equations of strain in isotropic elasticity, find the stress tensor that cause the following strain state determined from an experiment (material has Young’s modulus of 190 GPa): ?? = 0.001 0.001 0 0.001 −0.002 0.0005 0 0.0005 0shear moduli is 70GPa.
- The flow curve equation is used to correlate true stress and true strain in the plastic region of the stress/strain curve True or Falsev) A delta strain gauge is attached to the member at point ‘X’ as highlighted in the figure. During a particular stage of a lifting process, strain readings are recorded as detailed. Determine the magnitude and nature of the principal stresses acting on the member at point ‘X’, the maximum shear stress, and the angle of the principal planes. Young’s Modulus of elasticity = 205 GN/m2Poisson’s ratio = 0.31The ratio between normal stress to volumetric strain is known as a. Elastic modulus b. shear modulus c. Rigidity modulus d. Bulk modulus
- The general equation that describes the relationship between the stress and the strain for ductile materials is known as: Young’s modulus Bayes’ theorem Hooke’s lawWhat 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. 0.002A mild steel specimen of Diameter 9 mm, Length 11 cm is subjected to tensile load and it is found that the Strain-induced on the specimen is 18 x 10-3. Take the Modulus of elasticity as 201 x 103 MPa. Determine the following i) Cross-sectional Area, (in mm2) ii) Tensile Load iii) Tensile Stress iv) Change in Length iiv) Final cross-sectional area at failure if the percentage of reduction in area is 49 %.