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1. A state of strain (Ex) on a surface of material with modulus of elasticity E-30x10* psi is giv...
The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values εa= -185 με, εb= -150 με, εc= 55 με, E = 10,800 ksi, and v = 0.33...
The strain rosette shown was
used to obtain normal strain data at a point on the free surface of
a machine component. Given the values εa= -185 με, εb= -150 με, εc=
55 με, E = 10,800 ksi, and v = 0.33,
determine
(a) the stress components σx, σy, and τxy at the point.
(b) the principal stresses and the maximum in-plane shear stress at
the point; on paper, show these stresses on an appropriate sketch
that indicates the orientation...
An elastoplastic material with strain hardening has an elasto-plastic stressstrain relation. The modulus of elasticity (E)...
An elastoplastic material with strain hardening has an elasto-plastic stressstrain relation. The modulus of elasticity (E) is 25x106 psi, yield strength is 70 ksi, and the slope of the strain hardening portion of stress-strain diagram is 3x106 psi Problem # 4 Calculate: A) the strain that corresponds to a stress of 80 ksi B) If the 80-ksi stress is removed, calculate the permanent strain
Asap 1. The bracket is made of steel (Young's modulus 200 GPa; Poisson's ratio 0.3). When the force P is applied to the bracket, the gages in the strain rosette at point A have the followi...
Asap
1. The bracket is made of steel (Young's modulus 200 GPa; Poisson's ratio 0.3). When the force P is applied to the bracket, the gages in the strain rosette at point A have the following readings: E.-60 μ . Ep 135 μ l, and E.-264 μ (a) Determine the shear strain at point A. (b) Determine the orientation of the principal plane, the in-plane principal strains, the maximum in-plane shear strain, and the average in-plane normal strain. Determine the...
5-13. A rectangular rosette is attached to a steel plate having E 30 106 psi and v-03. The strain measurements are: (a) ε 500 μ¡n./in., ε.-300 μ¡n./in., and -100 μίη./in. (b) ε.-305 μ¡n./in., ε.-7...
5-13. A rectangular rosette is attached to a steel plate having E 30 106 psi and v-03. The strain measurements are: (a) ε 500 μ¡n./in., ε.-300 μ¡n./in., and -100 μίη./in. (b) ε.-305 μ¡n./in., ε.-75 μ¡n./in., and ε.-150 μ¡n./in. Calculate the prin- cipal strains and stresses and the maximum shear stress. Locate the axis of the principal stress.
5-13. A rectangular rosette is attached to a steel plate having E 30 106 psi and v-03. The strain measurements are: (a) ε...
A wood post has a modulus of Elasticity, E, of 1.3x106 psi. It is 20 ft...
A wood post has a modulus of Elasticity, E, of 1.3x106 psi. It is 20 ft long and experiences a change in length of 0.25 in. Determine the average unit stress in the post. Assume a linear stress-to-strain relationship.
The bulk modulus is used to measure the: Strain hardening of a material Stiffness of a...
The bulk modulus is used to measure the: Strain hardening of a material Stiffness of a volume of a material Volumetric strain of a material Resistance to lateral straining of a volume of material Question 50 Dilatation is a measure of. O Volumetric strain O Swelling O Stress concentrations Strain concentrations Question 51 When designing a beam, if several structural members with adequate section moduli are available, one can narrow the choice by considering: Weight Depth Flange depth O Web...
1. For an isotropic material, E and v are often chosen as the two independent engineering...
1. For an isotropic material, E and v are often chosen as the two independent engineering constants. There are other elastic constants that we have introduced in Lecture 5: the shear modulus G, the bulk modulus K, and the Lames, constants, μ and λ·Suppose that Prove that μ and λ, and K, satisfy the following relations: 2vG 2 3(1- 2v) To prove it, apply pure shear stress t, and connect it to pure shear strain γ by G, ie. τ_Gy....
Material Modulus of Maximum Axial Maximum Shear Stress (o) Elasticity (E) Stress (t) Brass Steel Wood...
Material Modulus of Maximum Axial Maximum Shear Stress (o) Elasticity (E) Stress (t) Brass Steel Wood inum 10,500 ksi16 ksi 22 ksi 30 ksi 15,000 ksi 29,000 ksi 1,600 ksi 10 ksi 13 ksi 20 ksi 90 psi 1000 psi 2) A rectangular cantilever bearm is loaded by a moment Mo = 4500 ft-lbs at its end as shown below. The length of the beam is L 4 ft and the height of the beam is h 3 in. If...
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system....
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system. (30 T = 10 (15 10 15 -35 0 ksi 0 40) The material has a modulus of elasticity equal to 10 psi and a Poisson's ratio of 0.3. The principal stresses are 51, 20, and -37 ksi. (A) Determine the nine elements of the strain tensor € (in/in). (B) Determine the largest principal shear stress (ksi). (C) Determine the Von Mises stress (ksi)....
σ(MPa) 400 The stress-strain diagram for a ductile material is shown at right. Determine approximately the...
σ(MPa) 400 The stress-strain diagram for a ductile material is shown at right. Determine approximately the modulus of elasticity E. 300 nd the yield stress σγ using the 0.2% offset strain method. If the shear modulus is known to be G 48GPa, compute 200- Poisson's ratio v. The test specimen for this material shown below is stretched with a force P 24kN. Find the resulting 100 hanges in dimensions of the specimen. 10 mm 0.004 0.008 0016 0 100 mm...
The strain rosette shown was
used to obtain normal strain data at a point on the free surface of
a machine component. Given the values εa= -185 με, εb= -150 με, εc=
55 με, E = 10,800 ksi, and v = 0.33,
determine
(a) the stress components σx, σy, and τxy at the point.
(b) the principal stresses and the maximum in-plane shear stress at
the point; on paper, show these stresses on an appropriate sketch
that indicates the orientation...
Asap
1. The bracket is made of steel (Young's modulus 200 GPa; Poisson's ratio 0.3). When the force P is applied to the bracket, the gages in the strain rosette at point A have the following readings: E.-60 μ . Ep 135 μ l, and E.-264 μ (a) Determine the shear strain at point A. (b) Determine the orientation of the principal plane, the in-plane principal strains, the maximum in-plane shear strain, and the average in-plane normal strain. Determine the...
5-13. A rectangular rosette is attached to a steel plate having E 30 106 psi and v-03. The strain measurements are: (a) ε 500 μ¡n./in., ε.-300 μ¡n./in., and -100 μίη./in. (b) ε.-305 μ¡n./in., ε.-75 μ¡n./in., and ε.-150 μ¡n./in. Calculate the prin- cipal strains and stresses and the maximum shear stress. Locate the axis of the principal stress.
5-13. A rectangular rosette is attached to a steel plate having E 30 106 psi and v-03. The strain measurements are: (a) ε...
The bulk modulus is used to measure the: Strain hardening of a material Stiffness of a volume of a material Volumetric strain of a material Resistance to lateral straining of a volume of material Question 50 Dilatation is a measure of. O Volumetric strain O Swelling O Stress concentrations Strain concentrations Question 51 When designing a beam, if several structural members with adequate section moduli are available, one can narrow the choice by considering: Weight Depth Flange depth O Web...
1. For an isotropic material, E and v are often chosen as the two independent engineering constants. There are other elastic constants that we have introduced in Lecture 5: the shear modulus G, the bulk modulus K, and the Lames, constants, μ and λ·Suppose that Prove that μ and λ, and K, satisfy the following relations: 2vG 2 3(1- 2v) To prove it, apply pure shear stress t, and connect it to pure shear strain γ by G, ie. τ_Gy....
Material Modulus of Maximum Axial Maximum Shear Stress (o) Elasticity (E) Stress (t) Brass Steel Wood inum 10,500 ksi16 ksi 22 ksi 30 ksi 15,000 ksi 29,000 ksi 1,600 ksi 10 ksi 13 ksi 20 ksi 90 psi 1000 psi 2) A rectangular cantilever bearm is loaded by a moment Mo = 4500 ft-lbs at its end as shown below. The length of the beam is L 4 ft and the height of the beam is h 3 in. If...
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system. (30 T = 10 (15 10 15 -35 0 ksi 0 40) The material has a modulus of elasticity equal to 10 psi and a Poisson's ratio of 0.3. The principal stresses are 51, 20, and -37 ksi. (A) Determine the nine elements of the strain tensor € (in/in). (B) Determine the largest principal shear stress (ksi). (C) Determine the Von Mises stress (ksi)....
σ(MPa) 400 The stress-strain diagram for a ductile material is shown at right. Determine approximately the modulus of elasticity E. 300 nd the yield stress σγ using the 0.2% offset strain method. If the shear modulus is known to be G 48GPa, compute 200- Poisson's ratio v. The test specimen for this material shown below is stretched with a force P 24kN. Find the resulting 100 hanges in dimensions of the specimen. 10 mm 0.004 0.008 0016 0 100 mm...
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