Question 2: Torsion (30 marks)
An aluminium alloy section illustrated in Figure 2 (dimensions in mm) is subjected to a torsion load of 340 N.m. The length of the section that carries this torsion load is 2.2 m, and the modulus of rigidity for the aluminium is 27 GPa.
(a) Determine the maximum shear stress in the section. [15 marks]
(b) Calculate the angle of twist (expressed in degrees). [15 marks]
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Question 2: Torsion (30 marks)
An aluminium alloy section illustrated in Figure 2 (dimensions
in mm)...
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 =...
Question 2 The single-cell thin-walled beam of Figure 2 with all dimensions in mm has a...
Question 2 The single-cell thin-walled beam of Figure 2 with all dimensions in mm has a constant torque T-3150 Nm applied to it. The shear modulus for all skin section is 27.5 GPa. Determine (a) the shear flow distribution, (b) the maximum shear stress, and (c) the rate of twist. 13 225 75 3150 N.m 400 Fig. 2
The solid shaft shown in Figure 5.1 is made of an aluminium alloy 6061-T6, assumed to...
The solid shaft shown in Figure 5.1 is made of an aluminium alloy 6061-T6, assumed to be elastoplastic with G = 26 GPa and yield shear strength ty= 140 (a) i. The torque T required to initiate yielding The radius of elastic core if the torque T is increased 15% of case (1) Angle of twist at the free end to reach case (ii) (8 marks) 1.2 m 36 mm
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cro...
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cross-section; b) the maximum value of torsional shear stress (in N/mm2) present at any point within c) (6 marks) (6 marks) the beam, and state clearly where this occurs; the vertical deflection (in mm) of the centroid of the cross-section at the free end of the beam; (6 marks) d) the total vertical deflection (in mm) of the point A located at the outside edge of...
Question #2 [12 marks] 15 mm The Figure shows a steel bar of rectangular cross section...
Question #2 [12 marks] 15 mm The Figure shows a steel bar of rectangular cross section (10x40 mm) carries a tensile load P and is attached to a support by means of a round pin of diameter 15 mm. The allowable stresses for the bar in tension and the pin in shear are Gallow -120 MPa and Tallow 60 MPa, respectively. What is the maximum permissible value of 10 mm the load P? 40 mm Question #3 [16 marks] Cross...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
1. A closely coiled helical spring made of 15 mm diameter steel wire has 15 coils...
1. A closely coiled helical spring made of 15 mm diameter steel
wire has 15 coils of 110 mm mean diameter. The spring is subjected
to an axial load of 180 N. Calculate the maximum shear stress
induced in the spring. Assume modulus of rigidity is 78 GPa.
2. A solid circular bar ABC consists of two segments, as shown
in the figure. One segment has diameter d1= 65 mm and
length L1 = 1.54 m; the other segment has...
3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total le...
3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total length I3 m. At its midpoint, a belt passes over a pulley and delivers 50 kW power to the shaft. This power is used to drive two machines at either end of the shaft. Machine 1 consumes P1 20 kW and machine 2 uses P230 KW. The...
so mm Figure 2: A traffic lighr Figure 3: Traffic light's column cross-section e aim to study the maxi section of the column is illustrated in figure 3. The column is imum light weight allowe...
so mm Figure 2: A traffic lighr Figure 3: Traffic light's column cross-section e aim to study the maxi section of the column is illustrated in figure 3. The column is imum light weight allowed on the traffic light's column illustrates in figure 2. 70 GPa and a Poisson ratio v made from aluminum having a modulus ofelasticity E heoremm, find the allowable mass of the light if the vertical deflection of the consider in this seetion the curved part...
so mm Figure 2: A traffic lighr Figure 3: Traffic light's column cross-section e aim to study the maxi section of the column is illustrated in figure 3. The column is imum light weight allowe...
so mm Figure 2: A traffic lighr Figure 3: Traffic light's column cross-section e aim to study the maxi section of the column is illustrated in figure 3. The column is imum light weight allowed on the traffic light's column illustrates in figure 2. 70 GPa and a Poisson ratio v made from aluminum having a modulus ofelasticity E heoremm, find the allowable mass of the light if the vertical deflection of the consider in this seetion the curved part...
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 =...
Question 2 The single-cell thin-walled beam of Figure 2 with all dimensions in mm has a constant torque T-3150 Nm applied to it. The shear modulus for all skin section is 27.5 GPa. Determine (a) the shear flow distribution, (b) the maximum shear stress, and (c) the rate of twist. 13 225 75 3150 N.m 400 Fig. 2
The solid shaft shown in Figure 5.1 is made of an aluminium alloy 6061-T6, assumed to be elastoplastic with G = 26 GPa and yield shear strength ty= 140 (a) i. The torque T required to initiate yielding The radius of elastic core if the torque T is increased 15% of case (1) Angle of twist at the free end to reach case (ii) (8 marks) 1.2 m 36 mm
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cross-section; b) the maximum value of torsional shear stress (in N/mm2) present at any point within c) (6 marks) (6 marks) the beam, and state clearly where this occurs; the vertical deflection (in mm) of the centroid of the cross-section at the free end of the beam; (6 marks) d) the total vertical deflection (in mm) of the point A located at the outside edge of...
Question #2 [12 marks] 15 mm The Figure shows a steel bar of rectangular cross section (10x40 mm) carries a tensile load P and is attached to a support by means of a round pin of diameter 15 mm. The allowable stresses for the bar in tension and the pin in shear are Gallow -120 MPa and Tallow 60 MPa, respectively. What is the maximum permissible value of 10 mm the load P? 40 mm Question #3 [16 marks] Cross...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
1. A closely coiled helical spring made of 15 mm diameter steel
wire has 15 coils of 110 mm mean diameter. The spring is subjected
to an axial load of 180 N. Calculate the maximum shear stress
induced in the spring. Assume modulus of rigidity is 78 GPa.
2. A solid circular bar ABC consists of two segments, as shown
in the figure. One segment has diameter d1= 65 mm and
length L1 = 1.54 m; the other segment has...
3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total length I3 m. At its midpoint, a belt passes over a pulley and delivers 50 kW power to the shaft. This power is used to drive two machines at either end of the shaft. Machine 1 consumes P1 20 kW and machine 2 uses P230 KW. The...
so mm Figure 2: A traffic lighr Figure 3: Traffic light's column cross-section e aim to study the maxi section of the column is illustrated in figure 3. The column is imum light weight allowed on the traffic light's column illustrates in figure 2. 70 GPa and a Poisson ratio v made from aluminum having a modulus ofelasticity E heoremm, find the allowable mass of the light if the vertical deflection of the consider in this seetion the curved part...
so mm Figure 2: A traffic lighr Figure 3: Traffic light's column cross-section e aim to study the maxi section of the column is illustrated in figure 3. The column is imum light weight allowed on the traffic light's column illustrates in figure 2. 70 GPa and a Poisson ratio v made from aluminum having a modulus ofelasticity E heoremm, find the allowable mass of the light if the vertical deflection of the consider in this seetion the curved part...
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