The thin-walled open cross section shown is transmitting torque 7. The angle of twist ₁ per unit length of each leg can be determined separately using the equation 01 = 3Ti GLIC 3 where G is the shear modulus, ₁ is the angle of twist per unit length, T is torque, and L is the length of the median line. In this case, i = 1, 2, 3, and T; represents the torque in leg i. Assuming that the angle of twist per unit length for each leg is the same, show that T= Lic³ and Tmaz = G01 Cmax Consider a steel section with Tallow = 12.40 kpsi. C1 2 mm L1 20 mm C2 3 mm L2 30 mm C3 2 mm L3 25 mm Determine the torque transmitted by each leg and the torque transmitted by the entire section. The torque transmitted by the first leg is | N-m. The torque transmitted by the second leg is N-m. The torque transmitted by the third leg is N-m. The torque transmitted by the entire section is N-m.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.22P: A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo...
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The thin-walled open cross section shown is transmitting torque 7. The angle of twist ₁ per unit length of each leg can be
determined separately using the equation
01
=
3Ti
GLIC
3
where G is the shear modulus, ₁ is the angle of twist per unit length, T is torque, and L is the length of the median line.
In this case, i = 1, 2, 3, and T; represents the torque in leg i. Assuming that the angle of twist per unit length for each
leg is the same, show that
T= Lic³ and Tmaz = G01 Cmax
Consider a steel section with Tallow = 12.40 kpsi.
C1
2 mm
L1
20 mm
C2
3 mm
L2
30 mm
C3
2 mm
L3
25 mm
Determine the torque transmitted by each leg and the torque transmitted by the entire section.
The torque transmitted by the first leg is |
N-m.
The torque transmitted by the second leg is
N-m.
The torque transmitted by the third leg is
N-m.
The torque transmitted by the entire section is
N-m.
Transcribed Image Text:The thin-walled open cross section shown is transmitting torque 7. The angle of twist ₁ per unit length of each leg can be determined separately using the equation 01 = 3Ti GLIC 3 where G is the shear modulus, ₁ is the angle of twist per unit length, T is torque, and L is the length of the median line. In this case, i = 1, 2, 3, and T; represents the torque in leg i. Assuming that the angle of twist per unit length for each leg is the same, show that T= Lic³ and Tmaz = G01 Cmax Consider a steel section with Tallow = 12.40 kpsi. C1 2 mm L1 20 mm C2 3 mm L2 30 mm C3 2 mm L3 25 mm Determine the torque transmitted by each leg and the torque transmitted by the entire section. The torque transmitted by the first leg is | N-m. The torque transmitted by the second leg is N-m. The torque transmitted by the third leg is N-m. The torque transmitted by the entire section is N-m.
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