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5. (15 pt) Two thin-walled hollow cross sections, one closed and one has an infinitesimal cut...
Shear of Thin-Walled Beams (closed section) 3. A box girder has the singly symmetrical trapezoidal cross...
Shear of Thin-Walled Beams (closed section) 3. A box girder has the singly symmetrical trapezoidal cross section shown below. It supports a vertical shear load of 1000 kN applied through its shear center and in a direction perpendicular to its parallel sides. Calculate the shear flow distribution and the maximum shear stress in the section. The thickness t of the upper flange is 8 mm, lower flange is 12 mm and the two inclined sides is 10 mm. 1000 kN...
To determine the maximum shear force that can be applied to two shafts of varying cross sections: a solid square shaft and a hollow square shaft.
Learning Goal: To determine the maximum shear force that can be applied to two shafts of varying cross sections: a solid square shaft and a hollow square shaft. The two square cross sections shown below (Figure 1) are each subjected to a vertical shear force, V. The side length of each cross section is s = 6.75 in and the side length of the hollowed-out portion of the second cross section is r = 4.00 in. The maximum allowable shear stress in...
A thin-walled closed-end pressure vessel of radius r= 120 mm and wall thickness t= 5 mm...
A thin-walled closed-end pressure vessel of radius r= 120 mm and wall thickness t= 5 mm is subjected to the tensile force P and internal pressure pi = 4MPa. Assume that the cross-sectional area A = 2hrt 199999997 P TE P P (a) The material of the vessel will fail if the maximum tensile stress exceeds 100MPa. Determine the maximum value of P so that the vessel will not have a tensile failure. (b) Calculate the maximum shear stress in...
The hollow thin-walled hollow section of aluminium alloy illustrated below is 1200 mm long. It has one free end and the...
The hollow thin-walled hollow section of aluminium alloy
illustrated below is 1200 mm long. It has one free end and the
other is built into a solid wall. At the free end, the following
loads are applied in the directions illustrated and distributed
evenly over the perimeter of the section:- A central, axial
compressive load, P = 10 kN; and A torque, T = 0.2 kN.m. Properties
of the aluminium alloy are given as E = 72 GPa and =...
3. A20-t-tall thin hollow tapered tube of a uniform wall thickness of j in. is used for a light p...
3. A20-t-tall thin hollow tapered tube of a uniform wall thickness of j in. is used for a light pole in a parking lot,as shown in Figure P3 The mean diameter at the bottom is 8 in, and at the top it is 2 in. The weight of the lights on top of the pole is 80 Ib. The pole is made of aluminum alloy with a specific weight of O.1 lbin, a modulus of elasticity E 11,000 ksi, and...
Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness...
Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness t, and length L. The cylinder is subjected to an internal pressure p. The cylinder is also subjected to equal and opposite end torques T, as shown in Figure 1. At any point in the side wall of the cylinder, a two-dimensional coordinate system is established such that x,-axis is in the axial direction of the cylinder and the Xz-axis is in the circumferential...
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...
3. (30 pts) A shaft is driven at A by a motor that transmits 5 kW...
3. (30 pts) A shaft is driven at A by a motor that transmits 5 kW to the shaft at 10 112. The gears Band C drive machinery require power equal to 3.5 KW and 1.5 kW respectively. The material of the shall has shear modulus G - 75 GPa Two cross-section contigurations are considered as shown all of them have about same cross-section areas) d-20 mm t=3 mm, a=17.5 mm a) What is the maximum torque on the shaft...
The thin-walled, 1-m-diameter tank of Fig. P2.144 is closed at one end and has a mass of 90 kg.
The thin-walled, 1-m-diameter tank of Fig. P2.144 is closed at one end and has a mass of 90 kg. The open end of the tank is lowered into the water and held in the position shown by a steel block having a density of 7840 kg/m3. Assume that the air that is trapped in the tank is compressed at a constant temperature. Determine: (a) the reading on the pressure gage at the top of the tank, and (b) the volume...
6. Two thin-walled circular tubes, one having a seamless section, the other a split section as...
6. Two thin-walled circular tubes, one having a seamless section, the other a split section as shown in Fig. P6, are subjected to the action of identical twiisting moments. Both tubes have equal outer diameters do, inner diameter di, and thickness t. What will be the ratio of the angles of twist bewteen the seamless tube, 0,, and that of split tube, 8z, i.e., the value of ? (a)). (b)) (c)(h), (d) }). (e) none of above 02 May =-...
Shear of Thin-Walled Beams (closed section) 3. A box girder has the singly symmetrical trapezoidal cross section shown below. It supports a vertical shear load of 1000 kN applied through its shear center and in a direction perpendicular to its parallel sides. Calculate the shear flow distribution and the maximum shear stress in the section. The thickness t of the upper flange is 8 mm, lower flange is 12 mm and the two inclined sides is 10 mm. 1000 kN...
A thin-walled closed-end pressure vessel of radius r= 120 mm and wall thickness t= 5 mm is subjected to the tensile force P and internal pressure pi = 4MPa. Assume that the cross-sectional area A = 2hrt 199999997 P TE P P (a) The material of the vessel will fail if the maximum tensile stress exceeds 100MPa. Determine the maximum value of P so that the vessel will not have a tensile failure. (b) Calculate the maximum shear stress in...
The hollow thin-walled hollow section of aluminium alloy
illustrated below is 1200 mm long. It has one free end and the
other is built into a solid wall. At the free end, the following
loads are applied in the directions illustrated and distributed
evenly over the perimeter of the section:- A central, axial
compressive load, P = 10 kN; and A torque, T = 0.2 kN.m. Properties
of the aluminium alloy are given as E = 72 GPa and =...
3. A20-t-tall thin hollow tapered tube of a uniform wall thickness of j in. is used for a light pole in a parking lot,as shown in Figure P3 The mean diameter at the bottom is 8 in, and at the top it is 2 in. The weight of the lights on top of the pole is 80 Ib. The pole is made of aluminum alloy with a specific weight of O.1 lbin, a modulus of elasticity E 11,000 ksi, and...
Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness t, and length L. The cylinder is subjected to an internal pressure p. The cylinder is also subjected to equal and opposite end torques T, as shown in Figure 1. At any point in the side wall of the cylinder, a two-dimensional coordinate system is established such that x,-axis is in the axial direction of the cylinder and the Xz-axis is in the circumferential...
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...
3. (30 pts) A shaft is driven at A by a motor that transmits 5 kW to the shaft at 10 112. The gears Band C drive machinery require power equal to 3.5 KW and 1.5 kW respectively. The material of the shall has shear modulus G - 75 GPa Two cross-section contigurations are considered as shown all of them have about same cross-section areas) d-20 mm t=3 mm, a=17.5 mm a) What is the maximum torque on the shaft...
The thin-walled, 1-m-diameter tank of Fig. P2.144 is closed at one end and has a mass of 90 kg. The open end of the tank is lowered into the water and held in the position shown by a steel block having a density of 7840 kg/m3. Assume that the air that is trapped in the tank is compressed at a constant temperature. Determine: (a) the reading on the pressure gage at the top of the tank, and (b) the volume...
6. Two thin-walled circular tubes, one having a seamless section, the other a split section as shown in Fig. P6, are subjected to the action of identical twiisting moments. Both tubes have equal outer diameters do, inner diameter di, and thickness t. What will be the ratio of the angles of twist bewteen the seamless tube, 0,, and that of split tube, 8z, i.e., the value of ? (a)). (b)) (c)(h), (d) }). (e) none of above 02 May =-...
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