A cube made from an isotropic material whose sides are initially 200 mm is subjected to...
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cube made from an isotropic material whose sides are initially 200
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A cubic block of side lengths h and mass density p rests on a horizontal flat rigid plate, as shown. Assuming that the cube is isotropic and linearly elastic, whose material properties are characteri...
A cubic block of side lengths h and mass density p rests on a horizontal flat rigid plate, as shown. Assuming that the cube is isotropic and linearly elastic, whose material properties are characterized by the Young's modulus (E) and Poisson's ratio (v), determined the strain distribution in the cube due to the gravity field. For what value(s) of the Poisson's ration the cube will not change its lateral dimensions? gravity
A cubic block of side lengths h and mass...
Problem 1: (a)A thick-walled cylinder, made from a homogeneous and isotropic elastic material, has an inner...
Problem 1: (a)A thick-walled cylinder, made from a homogeneous and isotropic elastic material, has an inner radius a and outer radius b. The cylinder is subjected to an internal pressure pi, and is under plane stress conditions. In this case the displacement field is of interest is given by and the stress field of interest is given by C2 C2 where, with (E and v) denoting the Young's modulus and the Poisson's Ratio. EA EB Show that b2 b2 (b/a)2-1)...
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).
Two samples made from a material with elastic modulus E 200 GPa are subjected to four...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four loading conditions by applying a force F 20 kN. The first sample is a solid circular bar with a 4 cm diameter. The second sample is another circular 4 cm bar, but with a 3 cm diameter hole bored down the centerline. The undeformed (original) length of both samples is Lo 80 cm ne any stresses are below the elastic limit for the material....
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- dire...
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- direction (the direction parallel to the fibers in the 0° ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. a) Calculate the resultant strains of the laminate b) Calculate the global stresses in the laminate c) Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. What is the Poisson's Ratio of this material? 2. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length...
3 (15 points) A bent circular cantilever beam of uniform diameter of 25 mm is shown in igure below. The beam is made from a material with elastic modulus is 70 GPa, the tensile strength is 250 M...
3 (15 points) A bent circular cantilever beam of uniform diameter of 25 mm is shown in igure below. The beam is made from a material with elastic modulus is 70 GPa, the tensile strength is 250 MPa, and the ultimate strength is 300 MPa. 250 mm A. 150 mm z Zz. 50N V (z direction) 100 N (a) (5 points) What are the stresses in the beam at point A? (b) (10 points) Based on your calculations in (a),...
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjec...
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2. The thickness is 5 mm. The modulus of elasticity, E-70 GPa, the Poisson's ratio, 0.3. Determine the maximum deflection of the plate using the first order shear d eformation eory.
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2....
Dimensions in mm 180- --120---100 100 Problem 1: Two cylindrical rods, one of steel (Ex =...
Dimensions in mm 180- --120---100 100 Problem 1: Two cylindrical rods, one of steel (Ex = 200 GPa) and the other of brass (Eb = 105 GPa), are joined at C and restrained by rigid supports at A and E. For the loading shown, determine: (a) the reactions at A and E, (b) the deflection of point C. cl DE Brass Steel B. 760 KN 40KN 40-mm diam. 30-mm diam. Problem 2: A 15-mm-diameter rod made of an experimental plastic...
Figure shows a steel alloy bolt of 20 mm in diameter subjected to a force P....
Figure shows a steel alloy bolt of 20 mm in diameter subjected to a force P. Determine the modulus of elasticity E required to cause the material to yield and the force P. Take Poisson's ratio, v = 0.3. P P2 P/2 T(MPa) 375 (rad) 0.00545
A cubic block of side lengths h and mass density p rests on a horizontal flat rigid plate, as shown. Assuming that the cube is isotropic and linearly elastic, whose material properties are characterized by the Young's modulus (E) and Poisson's ratio (v), determined the strain distribution in the cube due to the gravity field. For what value(s) of the Poisson's ration the cube will not change its lateral dimensions? gravity
A cubic block of side lengths h and mass...
Problem 1: (a)A thick-walled cylinder, made from a homogeneous and isotropic elastic material, has an inner radius a and outer radius b. The cylinder is subjected to an internal pressure pi, and is under plane stress conditions. In this case the displacement field is of interest is given by and the stress field of interest is given by C2 C2 where, with (E and v) denoting the Young's modulus and the Poisson's Ratio. EA EB Show that b2 b2 (b/a)2-1)...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four loading conditions by applying a force F 20 kN. The first sample is a solid circular bar with a 4 cm diameter. The second sample is another circular 4 cm bar, but with a 3 cm diameter hole bored down the centerline. The undeformed (original) length of both samples is Lo 80 cm ne any stresses are below the elastic limit for the material....
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- direction (the direction parallel to the fibers in the 0° ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. a) Calculate the resultant strains of the laminate b) Calculate the global stresses in the laminate c) Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. What is the Poisson's Ratio of this material? 2. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length...
3 (15 points) A bent circular cantilever beam of uniform diameter of 25 mm is shown in igure below. The beam is made from a material with elastic modulus is 70 GPa, the tensile strength is 250 MPa, and the ultimate strength is 300 MPa. 250 mm A. 150 mm z Zz. 50N V (z direction) 100 N (a) (5 points) What are the stresses in the beam at point A? (b) (10 points) Based on your calculations in (a),...
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2. The thickness is 5 mm. The modulus of elasticity, E-70 GPa, the Poisson's ratio, 0.3. Determine the maximum deflection of the plate using the first order shear d eformation eory.
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2....
Dimensions in mm 180- --120---100 100 Problem 1: Two cylindrical rods, one of steel (Ex = 200 GPa) and the other of brass (Eb = 105 GPa), are joined at C and restrained by rigid supports at A and E. For the loading shown, determine: (a) the reactions at A and E, (b) the deflection of point C. cl DE Brass Steel B. 760 KN 40KN 40-mm diam. 30-mm diam. Problem 2: A 15-mm-diameter rod made of an experimental plastic...
Figure shows a steel alloy bolt of 20 mm in diameter subjected to a force P. Determine the modulus of elasticity E required to cause the material to yield and the force P. Take Poisson's ratio, v = 0.3. P P2 P/2 T(MPa) 375 (rad) 0.00545
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