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Example 3: Indeterminate Find the stress in each segment of the aluminum stepped bar shown here....
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC,...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
160 mm P2. The dimensions of a stepped steel shaft (G = 80 GPa) are shown...
160 mm P2. The dimensions of a stepped steel shaft (G = 80 GPa) are shown below, along with the external torques applied on it. The shaft has a fixed support at point A. Answer the following: (35 pt) a. Plot the internal torque diagram. b. Find the maximum shearing stress on a section 3 m from the left end of the shaft (A). 35 kNm C. Find the maximum shearing strain on a 1 m section 3 m from...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
Question 1 The stepped flat bar has a constant thickness of 8.0 mm. It carries three concentrated loads as shown...
Question 1 The stepped flat bar has a constant thickness of 8.0 mm. It carries three concentrated loads as shown. Let P 200 N, L 180 mm, L, = 80 mm, and Ls 40 mm. Compute the maximum stress due to bending and state where it occurs. Note: The bar is braced against lateral bending and twisting. 100 mm 140 mm 1CX) mm 140 mm 2P Flat plate r3 mm t8 mm typical 12 m 24 mm-36 mm 48 mm...
A bar having the cross section shown has been formed by securely bonding brass and aluminum...
A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x= 46 mm. Modulus of elasticity Allowable stress Aluminum 70 GPa 100 MPa Brass 105 GPa 160 MPa 10 mm 10 mm Aluminum 10 mm Brass 10 mm |_40 mm / 1 The largest permissible bending moment when the...
aluminum bar is subjected to repeated tension-compression cycling along 4. (10) A cylindrical 2014-T6 its axis (200 MPa stress) a) Will the bar fail from fatigue? b) if bar does fail, how many cyc...
aluminum bar is subjected to repeated tension-compression cycling along 4. (10) A cylindrical 2014-T6 its axis (200 MPa stress) a) Will the bar fail from fatigue? b) if bar does fail, how many cycles to ; and c) with bar diameter of 0.01 m, what load caused failure? Show work on graph. ailure; and c) with bar diameter of 0.01 m, what load caused failure? Show wor N 10 80 500 70 60 400 50 1045 stee lo 300 140...
4. The composite bar consists of a 20-mm diameter steel segment AB and 50-mm diameter brass...
4. The composite bar consists of a 20-mm diameter steel segment AB and 50-mm diameter brass end segments DA and CB. Find the stress on each segment due to the applied loads. E of steel is 200 GPa and E of brass is 101 GPa. 250mm 250mm 250mm 50mm 50mm 20mm 75kN 100KN steel brass brass DA 75KN 100KN B
Torsion A stepped shaft ABC with the shear modulus of elasticity G-76 GPa is shown in...
Torsion A stepped shaft ABC with the shear modulus of elasticity G-76 GPa is shown in the figure. The shaft is foed at Point A. The torques T, -1500 Nm and Tz -1000 Nm are applied to the shaft at Points B and respectively. The directions of the torques are shown in the figure. The diameter and the length of the segment AB is d-70 mm and L-600 mm, respectively. The diameter and the length of the segment BC is...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces. The member is subjected to a concentrated load at the free end. The plastic core (240mm x 200 m m in cross section) has an elastic modulus of 100 GPa and allowable normal stress of 220 MPa, while the 6 mm thick aluminum face plates have an elastic modulus of 75 GPa and allowable normal stress of 260 MPa. Question I: 118 marks]...
In the system, each element is made of aluminum. and E = 70 GPa. Cross sections...
In the system, each element is made of aluminum.
and E = 70 GPa. Cross sections of vertical connections 10x40
Mm. For the upload shown
a) FC by taking pin diameters 10 mm only for this option
the greatest stress in the element.
b) Safety shear stress at point F for 75 MPa
the diameter of the pin,
c) Displacement of the G point,
You calculate.
250 mm 400 mm А B 250 mm 40 mm с E 300 mm...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
160 mm P2. The dimensions of a stepped steel shaft (G = 80 GPa) are shown below, along with the external torques applied on it. The shaft has a fixed support at point A. Answer the following: (35 pt) a. Plot the internal torque diagram. b. Find the maximum shearing stress on a section 3 m from the left end of the shaft (A). 35 kNm C. Find the maximum shearing strain on a 1 m section 3 m from...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
Question 1 The stepped flat bar has a constant thickness of 8.0 mm. It carries three concentrated loads as shown. Let P 200 N, L 180 mm, L, = 80 mm, and Ls 40 mm. Compute the maximum stress due to bending and state where it occurs. Note: The bar is braced against lateral bending and twisting. 100 mm 140 mm 1CX) mm 140 mm 2P Flat plate r3 mm t8 mm typical 12 m 24 mm-36 mm 48 mm...
A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x= 46 mm. Modulus of elasticity Allowable stress Aluminum 70 GPa 100 MPa Brass 105 GPa 160 MPa 10 mm 10 mm Aluminum 10 mm Brass 10 mm |_40 mm / 1 The largest permissible bending moment when the...
aluminum bar is subjected to repeated tension-compression cycling along 4. (10) A cylindrical 2014-T6 its axis (200 MPa stress) a) Will the bar fail from fatigue? b) if bar does fail, how many cycles to ; and c) with bar diameter of 0.01 m, what load caused failure? Show work on graph. ailure; and c) with bar diameter of 0.01 m, what load caused failure? Show wor N 10 80 500 70 60 400 50 1045 stee lo 300 140...
4. The composite bar consists of a 20-mm diameter steel segment AB and 50-mm diameter brass end segments DA and CB. Find the stress on each segment due to the applied loads. E of steel is 200 GPa and E of brass is 101 GPa. 250mm 250mm 250mm 50mm 50mm 20mm 75kN 100KN steel brass brass DA 75KN 100KN B
Torsion A stepped shaft ABC with the shear modulus of elasticity G-76 GPa is shown in the figure. The shaft is foed at Point A. The torques T, -1500 Nm and Tz -1000 Nm are applied to the shaft at Points B and respectively. The directions of the torques are shown in the figure. The diameter and the length of the segment AB is d-70 mm and L-600 mm, respectively. The diameter and the length of the segment BC is...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces. The member is subjected to a concentrated load at the free end. The plastic core (240mm x 200 m m in cross section) has an elastic modulus of 100 GPa and allowable normal stress of 220 MPa, while the 6 mm thick aluminum face plates have an elastic modulus of 75 GPa and allowable normal stress of 260 MPa. Question I: 118 marks]...
In the system, each element is made of aluminum.
and E = 70 GPa. Cross sections of vertical connections 10x40
Mm. For the upload shown
a) FC by taking pin diameters 10 mm only for this option
the greatest stress in the element.
b) Safety shear stress at point F for 75 MPa
the diameter of the pin,
c) Displacement of the G point,
You calculate.
250 mm 400 mm А B 250 mm 40 mm с E 300 mm...
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