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4.11. A shaft ABC is made of two segments AB and BC (Figure 4. 11). Segment...
4.11. A shaft ABC is made of two segments AB and BC (Figure 4. 11). Segment 4B is solid with a diameter of 100 mm and BC is hollowed with an outer diameter of 75 mm and wall thickness of 5 mm. The shear modulus is 80 GPa for segment AB and 60 GPa for BC Extemal torques To=25 Nm in the counter-clockwise direction is applied at Cand 1s=10 Nm in the clockwise direction is applied at B. A counter-clockwise...
Question 2: Torsion (30 marks) An aluminium alloy section illustrated in Figure 2 (dimensions in mm)...
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]
42.0 30.0 25.0 Figure 2. Section of torsion member...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A a...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A and B subjecting the bars to torsion. If the allowable maximum shear stress is 35 MPa and the allowable rate of twist is 3°/m for both bars, determine the smallest outer diameter (D, and Di) of both bars. The shear modulus of elasticity is 39 GPa to the axes of the bars. Forces 15 kN...
A solid steel bar of circular cross section has diameter d = 40 mm, length L...
A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends. If the torques have magnitude T = 340 Nm, what is the maximum shear stress in the bar? What is the angle of twist between the ends? If the allowable shear stress is 42 MPa and the allowable angle of twist...
please help me doing this problem and please provide step by step thannx Problem 7 (15...
please help me doing this problem and please provide step by
step thannx
Problem 7 (15 points) Torsion Given a 30 mm diameter, 1.5 m long steel torsion bar that is part of the suspension system of a bulldozer. Shear modulus, G-80 GPa, Maxim urm shear stress, ται-300 MPa. a. Find the torsion necessary to rotate the far end of the torsion bar 18° relative !g the near end. 2 b, what is the shear stress, τ, at this torsion?...
UESTION 24 Four gears are attached to a circular shaft and transmit the torques shown in the figure (12) below. (CLO4) (e points) 900 N-m 2100 Nm 450 N-m 750 N-m Figure (12) If the shaft diameter...
UESTION 24 Four gears are attached to a circular shaft and transmit the torques shown in the figure (12) below. (CLO4) (e points) 900 N-m 2100 Nm 450 N-m 750 N-m Figure (12) If the shaft diameter is 34 mm and the shear modulus is 70 GPa, what will be the angle of twist in radians of D with respect to A (measuresd C.C.W.)? Take distances AB-BC-CD-25cm. O 0.0038 O 0.0572 O 0.09812 ○ 00286 QUESTION 25 Under normal operating...
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...
In all the questions below, the material is structural steel with or= 220 MPa, E =...
In all the questions below, the material is structural steel with or= 220 MPa, E = 200 GPa, v=0.3, and a = 12x10-6/°C. Question 1 The steel shaft in Figure 1 is subjected to the torques shown. Calculate: 1. The maximum torque (Tmax) that can be applied for the shaft to operate with a safety margin of 30% (Tresca). 2. The resulting angle of twist of plane B relative to A 3. The resulting angle of twist of plane C...
The hollow steel construction auger in Figure 4 has an outer diameter d2 = 140 mm...
The hollow steel construction auger in Figure 4 has an outer diameter d2 = 140 mm and thickness of t = 8 mm. The steel has a shear modulus of elasticity E = 200 GPa and v = 0.3. For an applied torque of 35 kN m, determine the following quantities: a) Shear stress at the mid-center of the thickness t of the shaft. [2] b) Shear stress on the outer surface. [1] c) Shear stress in the inner surface,...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 G...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 GPa for the steel. The allowable stresses for the concrete and steel are ơ.-9.2 MPa and ơ.-135 MPa, respectively. Determine the maximum permissible positive bending moment. (10 marks) 625 mm 4 bars 28 mm -300 mm Figure Q3(a) 03(b) A simply supported beam that is...
4.11. A shaft ABC is made of two segments AB and BC (Figure 4. 11). Segment 4B is solid with a diameter of 100 mm and BC is hollowed with an outer diameter of 75 mm and wall thickness of 5 mm. The shear modulus is 80 GPa for segment AB and 60 GPa for BC Extemal torques To=25 Nm in the counter-clockwise direction is applied at Cand 1s=10 Nm in the clockwise direction is applied at B. A counter-clockwise...
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]
42.0 30.0 25.0 Figure 2. Section of torsion member...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A and B subjecting the bars to torsion. If the allowable maximum shear stress is 35 MPa and the allowable rate of twist is 3°/m for both bars, determine the smallest outer diameter (D, and Di) of both bars. The shear modulus of elasticity is 39 GPa to the axes of the bars. Forces 15 kN...
please help me doing this problem and please provide step by
step thannx
Problem 7 (15 points) Torsion Given a 30 mm diameter, 1.5 m long steel torsion bar that is part of the suspension system of a bulldozer. Shear modulus, G-80 GPa, Maxim urm shear stress, ται-300 MPa. a. Find the torsion necessary to rotate the far end of the torsion bar 18° relative !g the near end. 2 b, what is the shear stress, τ, at this torsion?...
UESTION 24 Four gears are attached to a circular shaft and transmit the torques shown in the figure (12) below. (CLO4) (e points) 900 N-m 2100 Nm 450 N-m 750 N-m Figure (12) If the shaft diameter is 34 mm and the shear modulus is 70 GPa, what will be the angle of twist in radians of D with respect to A (measuresd C.C.W.)? Take distances AB-BC-CD-25cm. O 0.0038 O 0.0572 O 0.09812 ○ 00286 QUESTION 25 Under normal operating...
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...
In all the questions below, the material is structural steel with or= 220 MPa, E = 200 GPa, v=0.3, and a = 12x10-6/°C. Question 1 The steel shaft in Figure 1 is subjected to the torques shown. Calculate: 1. The maximum torque (Tmax) that can be applied for the shaft to operate with a safety margin of 30% (Tresca). 2. The resulting angle of twist of plane B relative to A 3. The resulting angle of twist of plane C...
The hollow steel construction auger in Figure 4 has an outer diameter d2 = 140 mm and thickness of t = 8 mm. The steel has a shear modulus of elasticity E = 200 GPa and v = 0.3. For an applied torque of 35 kN m, determine the following quantities: a) Shear stress at the mid-center of the thickness t of the shaft. [2] b) Shear stress on the outer surface. [1] c) Shear stress in the inner surface,...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 GPa for the steel. The allowable stresses for the concrete and steel are ơ.-9.2 MPa and ơ.-135 MPa, respectively. Determine the maximum permissible positive bending moment. (10 marks) 625 mm 4 bars 28 mm -300 mm Figure Q3(a) 03(b) A simply supported beam that is...
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