A point of the material subjected to plane strain has strains: εx = 120×10-6, εy =...
A point of the material subjected to plane strain has strains: εx = 120×10-6, εy = 70×10-6 and γxy = 80×10-6. The modulus of elasticity and poisson's ratio of the material is E = 210 GPa and ν = 0.3 respectively. Determine the normal stress along the x axis σx = Answer MPa (rounding to two decimal places).
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A point of the material subjected to plane strain has strains:
εx = 120×10-6, εy =...
A linear elastic material is subjected to differing strains. At a strain of 0.2%, the stress...
A linear elastic material is subjected to differing strains. At a strain of 0.2%, the stress is 36 MPa whereas at a strain of 0.75%, the stress is 128 MPa. a) (5 points) Determine the stress in this material at a strain of 0.58% (use linear interpolation) 5, 1. b) (5 points) what is the Young's modulus (elastic modulus) of this material? Use proper units mce
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at...
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at the point of interest are as follows (units of MPa are assumed): 0x =-87 Oy =36 Txy =-77 Determine the normal strain in the z-direction, Ex, in microstrain (to one decimal place). So if the value is 18.4 E-06, just enter "18.4". You may assume Young's modulus is 72 GPa and Poisson's ratio is 0.3 for this material.
a linear elastic material is subjected to differing strains . at a strain of 0.2%, the...
a linear elastic material is subjected to differing strains . at a strain of 0.2%, the stress is 36 MPA whereas at a strain of 0.75% the stress is 128 MPA. Determine the stress at a strain of 0.58%?
Answers: QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and...
Answers:
QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and a A closed cylindrical pressure vessel illustrated in the figure below is pressure of 5.0 MPa. The vessel is made of steel with a Poisson's ratio of 0.29. A delta strain gauge rosette, attached to the external surface of a closed cylindrical pressure vessel measures the following strains a 74 x 10-6 10-6 E60 246 x 248 x 10 E120 Determine the strain components...
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisso...
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v for the material (2) Modulus of elasticity E for the material. (3) Strain energy density u.
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v...
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and -...
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and - 50 x 10-6 units together with an unknown sheer strain, if the principal strain in the material is 420 x 10 units. If E - 200 GN/m? - 0.3, determine the following. a. a) Magnitude of the shear strain b. b) The other principal strain C. c) The direction of principal strains axes d. d) The magnitude of the principal stresses 1. 5. For...
For the given state of plane stress, calculate the strains on each faces. (E=200 GPa, G=70...
For the given state of plane stress, calculate the strains on
each faces. (E=200 GPa, G=70 GPa, and v=0.3). a) Calculate the
principal strains and angle ?? at which it occurs. b) Calculate the
maximal shear stress in the plane and angle ?? at which it occurs.
(Hint; You can construct Mohr’s Circle for strain transformation
with the same rules as we constructed in stress
transformation)
80 MPa 40 MPa 50 MPa
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
A cube made from an isotropic material whose sides are initially 200 mm is subjected to...
A cube made from an isotropic material whose sides are initially 200 mm is subjected to stresses of 100 MPa (tensile), 150 MPa (compressive) and 80 MPa (tensile) in the x-, y- and z- directions, respectively. Calculate the dimensional changes and the change in volume that results from the loading. The modulus of elasticity of the material is 50 GPa and poisson's ratio is o.3.
The state of strain at the point on the bracket has components ϵ x= -130(10-6), ϵ y=...
The state of strain at the point on the bracket has components ϵ
x= -130(10-6), ϵ y= 280(10-6), and
γ x y= 75(10-6).
Determine the principal stress, σ 1 in MPa at the point.
Determine the principal stress, σ 2 in MPa at the point.
Assume E = 200 GPa, and ν= 0.3.
1 х
A linear elastic material is subjected to differing strains. At a strain of 0.2%, the stress is 36 MPa whereas at a strain of 0.75%, the stress is 128 MPa. a) (5 points) Determine the stress in this material at a strain of 0.58% (use linear interpolation) 5, 1. b) (5 points) what is the Young's modulus (elastic modulus) of this material? Use proper units mce
Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at the point of interest are as follows (units of MPa are assumed): 0x =-87 Oy =36 Txy =-77 Determine the normal strain in the z-direction, Ex, in microstrain (to one decimal place). So if the value is 18.4 E-06, just enter "18.4". You may assume Young's modulus is 72 GPa and Poisson's ratio is 0.3 for this material.
Answers:
QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and a A closed cylindrical pressure vessel illustrated in the figure below is pressure of 5.0 MPa. The vessel is made of steel with a Poisson's ratio of 0.29. A delta strain gauge rosette, attached to the external surface of a closed cylindrical pressure vessel measures the following strains a 74 x 10-6 10-6 E60 246 x 248 x 10 E120 Determine the strain components...
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v for the material (2) Modulus of elasticity E for the material. (3) Strain energy density u.
13-1 A cast-iron plate in biaxial stress is subjected to tensile stresses ơ,-30MPa and ơ.-40MPa (see figure). The corresponding strains in the plate are E-120x106 and ε,-160x106. Determine (1) Poisson's ratio v...
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and - 50 x 10-6 units together with an unknown sheer strain, if the principal strain in the material is 420 x 10 units. If E - 200 GN/m? - 0.3, determine the following. a. a) Magnitude of the shear strain b. b) The other principal strain C. c) The direction of principal strains axes d. d) The magnitude of the principal stresses 1. 5. For...
For the given state of plane stress, calculate the strains on
each faces. (E=200 GPa, G=70 GPa, and v=0.3). a) Calculate the
principal strains and angle ?? at which it occurs. b) Calculate the
maximal shear stress in the plane and angle ?? at which it occurs.
(Hint; You can construct Mohr’s Circle for strain transformation
with the same rules as we constructed in stress
transformation)
80 MPa 40 MPa 50 MPa
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
The state of strain at the point on the bracket has components ϵ
x= -130(10-6), ϵ y= 280(10-6), and
γ x y= 75(10-6).
Determine the principal stress, σ 1 in MPa at the point.
Determine the principal stress, σ 2 in MPa at the point.
Assume E = 200 GPa, and ν= 0.3.
1 х
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