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J is Polar moment of Inertia
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1. In Figure la the specimen length (L) is 1 meter and the torque applied at...
1. In Figure 1a the specimen length (L) is 1 meter and the torque applied at...
1. In Figure 1a the specimen length (L) is 1 meter and the
torque applied at the free end (T) is 70 N-m. Figure 1b shows a
cross-section of the specimen with outer radius (r0) equal to 0.25
m and total angle of twist (?) equal to 45º.
(a) Calculate the polar moment of inertia, Ip, for the
specimen.
(b) Determine the Modulus of Rigidity, G, of the
specimen.
1. In Figure la the specimen length (L) is 1 meter...
A body has a modulus of rigidity of 10 MPa. Under an applied torque of 14,000,000...
A body has a modulus of rigidity of 10 MPa. Under an applied torque of 14,000,000 N·m over a length of 0.4 m, the angle of twist is 0.8 radians. What is the polar second moment of area for this body? A. 2.1 m4 B. 0.7 m4 C. 0.35 m4 D. 1.4 m4
A solid bar of circular cross section has a diameter, d= 1.5 in., and length, L-54 shear modulus of elasticity, G11.5x 10spsi (see Figure 4). 4. in.. The da 1.5 in. L-54 in. Figure 4 (a) If a tor...
A solid bar of circular cross section has a diameter, d= 1.5 in., and length, L-54 shear modulus of elasticity, G11.5x 10spsi (see Figure 4). 4. in.. The da 1.5 in. L-54 in. Figure 4 (a) If a torque T 250 lb-ft is applied at the ends, find the values of maximum shear stress in the bar and the angle of twist between the ends of the bar. [10 marks] (b) If the allowable shear stress 6000 psi and the...
BRASS STEEL ads Problem 1. Torque To is applied at the midpoint of a solid steel...
BRASS STEEL ads Problem 1. Torque To is applied at the midpoint of a solid steel bar with diameter d, and length 1.5 L which is bonded to two brass collars, each with wall thickness tp and length 0.25 L. The twist angle at point C is specified to be an allowable angle oca To ** B A L 11/25 늦 The steel bar and brass collars are attached to fixed supports at A and B. Equal reaction torques T...
BRASS STEEL ti ods Problem 1. Torque To is applied at the midpoint of a solid...
BRASS STEEL ti ods Problem 1. Torque To is applied at the midpoint of a solid steel bar with diameter ds and length 1.5 L which is bonded to two brass collars, each with wall thickness to and length 0.25 L. The twist angle at point C is specified to be an allowable angle oca. To I 1 А B с E a L va 2 4 L The steel bar and brass collars are attached to fixed supports at...
TORSION
a) A hollow circular shaft designed to have an inner diameter of 0.7Do; where Do is an outer diameter.i) Determine the inner and outer diameters of the shaft if the maximum allowable shearing stress is Y0 N/mm2 and torque is X00 kNm. Then, calculate the polar moment of inertia.ii) By using inner diameter calculated in (i), calculate the maximum shearing stress and a new torque, if the shaft is changed to solid circular shaft. The shaft is 1.5 m long with the twisted through...
BRASS STEEL ads Problem 1. Torque To is applied at the midpoint of a solid steel...
BRASS STEEL ads Problem 1. Torque To is applied at the midpoint of a solid steel bar with diameter ds and length 1.5 L which is bonded to two brass collars, each with wall thickness tp and length 0.25 L. The twist angle at point C is specified to be an allowable angle oca. Т. To * B 썰 С D E र VN ^^ 4 The steel bar and brass collars are attached to fixed supports at A and...
An I-section has the dimensions shown in Fig. Q4 and is subjected to an axial torque,...
An I-section has the dimensions shown in Fig. Q4 and is subjected to an axial torque, T = 5000 Nm A) Determine the maximum value of the shear stress (Tmax) in the material. (8 marks) B) Find the twist angle per meter length, (0/L). Assume the modulus of rigidity G for the material is 82 GN/m2. d1= 266 mm — b1 = 30 b2= 16.5 mm d2= 779 mm b3 = 30 Fig. Q4: An I-Section Structure.
igwe 3 3, (4%) For a prismatic bar in the Figure 3, under a torque T...
igwe 3 3, (4%) For a prismatic bar in the Figure 3, under a torque T (Nm) which twists the bar, with length L (m) and radius r (m), for a small angle ? (radian): (Hint 3.1. The maximum shear stress (Tmax) is 3.2. The shear strain at the surface (Ymax) is (a) rmax degree (b) Ymax radian (c) Year-! deg/m (d) Ym", (no uni) 3.3. The shear modulus of elasticity G can be determined from known angle of twist...
1. (20 pts.) For the figure shown: a. What is the largest torque that can be...
1. (20 pts.) For the figure shown: a. What is the largest torque that can be applied to the shaft if the shearing stress is not to exceed 120 MPa b. What is the corresponding minimum value of the shearing stress in the shaft? c. What torque should be applied to the end of the shaft to produce a twist of 2 degrees? Use value G-71-GPa for the modulus of rigidity of steel 60 mm 40 mm 1.5 m
1. In Figure 1a the specimen length (L) is 1 meter and the
torque applied at the free end (T) is 70 N-m. Figure 1b shows a
cross-section of the specimen with outer radius (r0) equal to 0.25
m and total angle of twist (?) equal to 45º.
(a) Calculate the polar moment of inertia, Ip, for the
specimen.
(b) Determine the Modulus of Rigidity, G, of the
specimen.
1. In Figure la the specimen length (L) is 1 meter...
A solid bar of circular cross section has a diameter, d= 1.5 in., and length, L-54 shear modulus of elasticity, G11.5x 10spsi (see Figure 4). 4. in.. The da 1.5 in. L-54 in. Figure 4 (a) If a torque T 250 lb-ft is applied at the ends, find the values of maximum shear stress in the bar and the angle of twist between the ends of the bar. [10 marks] (b) If the allowable shear stress 6000 psi and the...
BRASS STEEL ads Problem 1. Torque To is applied at the midpoint of a solid steel bar with diameter d, and length 1.5 L which is bonded to two brass collars, each with wall thickness tp and length 0.25 L. The twist angle at point C is specified to be an allowable angle oca To ** B A L 11/25 늦 The steel bar and brass collars are attached to fixed supports at A and B. Equal reaction torques T...
BRASS STEEL ti ods Problem 1. Torque To is applied at the midpoint of a solid steel bar with diameter ds and length 1.5 L which is bonded to two brass collars, each with wall thickness to and length 0.25 L. The twist angle at point C is specified to be an allowable angle oca. To I 1 А B с E a L va 2 4 L The steel bar and brass collars are attached to fixed supports at...
BRASS STEEL ads Problem 1. Torque To is applied at the midpoint of a solid steel bar with diameter ds and length 1.5 L which is bonded to two brass collars, each with wall thickness tp and length 0.25 L. The twist angle at point C is specified to be an allowable angle oca. Т. To * B 썰 С D E र VN ^^ 4 The steel bar and brass collars are attached to fixed supports at A and...
An I-section has the dimensions shown in Fig. Q4 and is subjected to an axial torque, T = 5000 Nm A) Determine the maximum value of the shear stress (Tmax) in the material. (8 marks) B) Find the twist angle per meter length, (0/L). Assume the modulus of rigidity G for the material is 82 GN/m2. d1= 266 mm — b1 = 30 b2= 16.5 mm d2= 779 mm b3 = 30 Fig. Q4: An I-Section Structure.
igwe 3 3, (4%) For a prismatic bar in the Figure 3, under a torque T (Nm) which twists the bar, with length L (m) and radius r (m), for a small angle ? (radian): (Hint 3.1. The maximum shear stress (Tmax) is 3.2. The shear strain at the surface (Ymax) is (a) rmax degree (b) Ymax radian (c) Year-! deg/m (d) Ym", (no uni) 3.3. The shear modulus of elasticity G can be determined from known angle of twist...
1. (20 pts.) For the figure shown: a. What is the largest torque that can be applied to the shaft if the shearing stress is not to exceed 120 MPa b. What is the corresponding minimum value of the shearing stress in the shaft? c. What torque should be applied to the end of the shaft to produce a twist of 2 degrees? Use value G-71-GPa for the modulus of rigidity of steel 60 mm 40 mm 1.5 m
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