Gage length PROBLEM 1.5-3

Determine the yield strength of a material required such that the component would not fail when subject to the following stresses sigma1 = 2 MPa and sigma 2= -15 MPa sigma 3 = 10 MPa).  Use a yield criterion that assumes that yield failure will occur when the maximum shear stress in the complex system becomes equal to the limiting shear strength in a simple tensile test.

The principal plane stresses and associated strains in a 35 ksi, 02 = 15 ksi, plane at a point are 01 1 €1 = 1.02(10-3), 2 = 0.180(10-³). ▼ Determine the modulus of elasticity. Express your answer using three significant figures and include the appropriate units. E= Submit Part B V= μA Value Request Answer Submit Determine the Poisson's ratio. Express your answer using three significant figures. ΠΑΠΙ ΑΣΦ | Η VE Units Request Answer ? vec POSSIA space ?

The stresses on the surface of a hard bronze component are shown in the figure below. The yield strength of the bronze is σY = 345 MPa.a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? Does the component fail according to this theory?b) What is the value of the Mises equivalent stress for the given state of plane stress?c) What is the factor of safety predicted by the failure criterion of the maximum-distortion energy theory of failure? Does the component fail according to this theory?

Stress Strain Diagram The Data shown in the table have been obtained from a tensile test conducted on a high-strength steel. The test specimen had a diameter of 0.505 inch and a gage length of 2.00 inch. Using software. plot the Stress-Strain Diagram for this steel and determine its: A= TTdT(050s A %3D 1. Proportional Limit, 2. Modulus of Elasticity, 3. Yield Strength (SY) at 0.2% Offset, 4. Ultimate Strength (Su), 5. Percent Elongation in 2.00 inch, 6. Percent Reduction in Area, 7. Present the results (for Steps 1-6) in a highly organized table. e Altac ie sheet (as problelle 4 A = 0.2.002 BEOINNING of the effort Elongation (in) Elongation (In) Load Load #: #3 (Ib) (Ib) 1 0.0170 15 12,300 0.0004 1,500 16 12,200 0.0200 0.0010 3. 3,100 17 12,000 0.0275 0.0016 4,700 18 13,000 0.0335 5. 6,300 0.0022 19 15,000 0.0400 0.0026 6. 8,000 20 16,200 0.055 0.0032 9,500 21 17,500 0.0680 0.0035 8. 11,000 22 18,800 0.1080 0.0041 11,800 23 19,600 0.1515 0.0051 24 20,100 0.2010 10 12,300 0.0071 25…

The brass has a shear modulus (G) of 40 GPa. In the torsion test calculated results, (G) was found to be 37 830 MPa. What is the percentage of errors in the experiment? Select one: a. 0.54% O b. 5.425% c. 0.05425% O d. 3.779%

For a given homogeneous, isotropic, linearly elastic material, E = 15e6 psi and v = 0.3. Solve for the shear modulus. 2.1.1 Homogeneous, isotropic, linearly elastic materials For specimens undergoing small deformations, the stress-strain diagram often ex- hibits a linear behavior. Although this is a very crude approximation to the behavior of actual materials, it is a convenient assumption that is often used for preliminary evaluation. A linear relationship between stress and strain can be expressed as 01 = E €1, (2.1) where the coefficient of proportionality, E, is called Young's modulus or modulus of elasticity. Since strains are non-dimensional quantities, this coefficient has the same units as stress quantities, i.e., Pa. This linear relationship is known as Hooke's law. The elongation of a bar in the direction of the applied stress is accompanied by a lateral contraction that is also proportional to the applied stress. The resulting defor- mations for this uniaxial state of stress…

Correctly solve by using correct expression

A tensile specimen havign a diameter of 6 mm and a gauge length of 50 mm was tested to fracture and the stress-strain diagram is show. Poisson's ratio of material, v = 0.3   Determine the load P that the sample is subjected to when a stress of 300 MPa is applied. What is the instantaneous diameter of the sample given a longitudinal strain of 0.002?

3. The elastic portion of the stress-strain diagram for a titanium alloy used for medical implants shown. The specimen from which it was obtained has an original diameter of 10 mm and a gage length of 45 mm. If a tensile load of P = 300 kN is applied to the specimen. Take Poisson ration 0.3. a) determine specimen's new length after deformation. b) determine specimen's new diameter after deformation. Make sure to include the calculation for all steps including E and longitudinal and lateral strains MPa 700 600 500 400 300 200 100 E 10-3 10 15 (Ans:lnew - 46.718mm, Dnew - 9.885mm, ) for tregting