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3. The thin-tube shown below has a cross section made of two isosceles triangles and and it is tw...
The cross-section of a thin walled single cell tube is shown in Figure 1 below. The...
The cross-section of a thin walled single cell tube is shown in Figure 1 below. The tube supports a torque of T-3 kN.m over a length of 8 m. Consider G of the material as 79 GPa. 1. Determine the shear stresses in the walls and angle of twist 2. A vertical web of wall thickness of 2mm is added in the single cell to make it a two cell tube shown in Figure 2 below. Also determine the shear...
A steel tube with a circular cross section has an outside diameter of 300 mm and...
A steel tube with a circular cross section has an outside diameter of 300 mm and wall thickness of 2 mm. The cylinder is twisted along its length of 2 m with a torque of 50 kN · m. (a) Determine the maximum torsional shear stress using Equation Theta= T*L/JG (b) Determine the maximum torsional shear stress using the closed thin-walled tube method. Compare this result to the result of part (a). (c) Assuming the tube does not yield, determine...
A beam of the cross section shown is made of a steel that is assumed to...
A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa. The bending is about the z axis. A couple of moment equal to the full plastic moment Mp is applied and then removed. Using a yield strength of 240 MPa, determine the residual stress at y = 45 mm. 90 mm 60 mm The residual stress is D M Pa.
Problem 1 (33 pts) The hollow shaft of inside diameter 8 mm, outside diameter 12 mm,...
Problem 1 (33 pts) The hollow shaft of inside diameter 8 mm, outside diameter 12 mm, L - 1.2 m, and shear modulus G = 80 GPa is subjected to T. Shear stress Txy at point A located at the outside of the shaft was found to be 48.96 MPa. Find the rotation of the shaft at its free end (where T' is applied) in degrees. For a circular cross section of diameter d, the polar moment of inertia is...
Q211 A steel beam has Z-bar cross section as shown in below. Here O is the...
Q211 A steel beam has Z-bar cross section as shown in below. Here O is the centroid of the cross section Moment of inertia and product of inertia of the cross section are given by I, = 24.3960(10° ) mm. l, = 67.41 10(10° ) mm. 1,--30.1840(10° ) mm. The internal force developed in the cross section is M 12 kN-m as shown. Determine the location and magnitude of the maximum tensile stress and maximum compressive stress in the cross...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm....
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
A thin-walled beam has the cross-section shown in the figure below. If the beam is subjected...
A thin-walled beam has the cross-section shown in the figure
below. If the beam is subjected to a bending moment Mx
in the plane of the web 23:
Prob. 2 A thin-walled beam has the cross-section shown in the figure below. If the beam is subjected to a bending moment M in the plane of the web 23: h2 2t 2t 2h 1. 2. Find the section properties Find the direct stress distribution equation in the beam cross-section (15 pts)...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
For reference, the answers are 17.56 MPa and 41.25 MPa The cross section below has dimensions...
For reference, the answers are 17.56 MPa and 41.25 MPa
The cross section below has dimensions h = 74 mm, t1 = 6 mm = 8 mm and b 91 mm. 2 % Matlab input: b-91; ybar Iz = = 55.47029702978297; 1.e81573240924e926"10"6; MZ = 716; The centroid position is given by: y 55.47029702970297 mm The moment of inertia I with respect to the centroidal axis z is given by: しー1.0815732409240926 x 106 mm 4 Determine the absolute value of the...
The cross-section of a thin walled single cell tube is shown in Figure 1 below. The tube supports a torque of T-3 kN.m over a length of 8 m. Consider G of the material as 79 GPa. 1. Determine the shear stresses in the walls and angle of twist 2. A vertical web of wall thickness of 2mm is added in the single cell to make it a two cell tube shown in Figure 2 below. Also determine the shear...
A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa. The bending is about the z axis. A couple of moment equal to the full plastic moment Mp is applied and then removed. Using a yield strength of 240 MPa, determine the residual stress at y = 45 mm. 90 mm 60 mm The residual stress is D M Pa.
Problem 1 (33 pts) The hollow shaft of inside diameter 8 mm, outside diameter 12 mm, L - 1.2 m, and shear modulus G = 80 GPa is subjected to T. Shear stress Txy at point A located at the outside of the shaft was found to be 48.96 MPa. Find the rotation of the shaft at its free end (where T' is applied) in degrees. For a circular cross section of diameter d, the polar moment of inertia is...
Q211 A steel beam has Z-bar cross section as shown in below. Here O is the centroid of the cross section Moment of inertia and product of inertia of the cross section are given by I, = 24.3960(10° ) mm. l, = 67.41 10(10° ) mm. 1,--30.1840(10° ) mm. The internal force developed in the cross section is M 12 kN-m as shown. Determine the location and magnitude of the maximum tensile stress and maximum compressive stress in the cross...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
A thin-walled beam has the cross-section shown in the figure
below. If the beam is subjected to a bending moment Mx
in the plane of the web 23:
Prob. 2 A thin-walled beam has the cross-section shown in the figure below. If the beam is subjected to a bending moment M in the plane of the web 23: h2 2t 2t 2h 1. 2. Find the section properties Find the direct stress distribution equation in the beam cross-section (15 pts)...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
For reference, the answers are 17.56 MPa and 41.25 MPa
The cross section below has dimensions h = 74 mm, t1 = 6 mm = 8 mm and b 91 mm. 2 % Matlab input: b-91; ybar Iz = = 55.47029702978297; 1.e81573240924e926"10"6; MZ = 716; The centroid position is given by: y 55.47029702970297 mm The moment of inertia I with respect to the centroidal axis z is given by: しー1.0815732409240926 x 106 mm 4 Determine the absolute value of the...
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