The compound shaft shown in Figure P6.4 consists of two steel [G= 80 GPa] pipe segments. The shaft is subjected to external torques Tg and Tc that act in the directions shown. Segment (1) has an outside diameter of 206 mm and a wall thickness of 10 mm. Segment (2) has an outside diameter of 138 mm and a wall thickness of 14 mm. The torque is known to have a magnitude of Tc=22 kN m. The shear strain in segment (1) is measured as 500 µrad. Determine the magnitude of external torque TB. ||
The compound shaft shown in Figure P6.4 consists of two steel [G= 80 GPa] pipe segments. The shaft is subjected to external torques Tg and Tc that act in the directions shown. Segment (1) has an outside diameter of 206 mm and a wall thickness of 10 mm. Segment (2) has an outside diameter of 138 mm and a wall thickness of 14 mm. The torque is known to have a magnitude of Tc=22 kN m. The shear strain in segment (1) is measured as 500 µrad. Determine the magnitude of external torque TB. ||
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:y
TB
TC
(1)
(2)
B.
FIGURE P6.4
![The compound shaft shown in Figure P6.4 consists of
two steel [G= 80 GPa] pipe segments. The shaft is
subjected to external torques Tg and Tc that act in the
directions shown. Segment (1) has an outside diameter
of 206 mm and a wall thickness of 10 mm. Segment
(2) has an outside diameter of 138 mm and a wall
thickness of 14 mm. The torque is known to have a
magnitude of Tc= 22 kN-m. The shear strain in
segment (1) is measured as 500 µrad. Determine the
magnitude of external torque T3.
118 AM
2/23/202
26°F Partly sunny
99+
P Type here to search](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e11f595-a40a-4bf3-b7d2-0a0cab1f1556%2F78ae88a8-7706-4b14-a768-d16c08189ceb%2Fq8d1kmp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The compound shaft shown in Figure P6.4 consists of
two steel [G= 80 GPa] pipe segments. The shaft is
subjected to external torques Tg and Tc that act in the
directions shown. Segment (1) has an outside diameter
of 206 mm and a wall thickness of 10 mm. Segment
(2) has an outside diameter of 138 mm and a wall
thickness of 14 mm. The torque is known to have a
magnitude of Tc= 22 kN-m. The shear strain in
segment (1) is measured as 500 µrad. Determine the
magnitude of external torque T3.
118 AM
2/23/202
26°F Partly sunny
99+
P Type here to search
Expert Solution

Step 1
Given:-
The modulus of rigidity of steel pipe segments = G = 80 GPa
The outside diameter of the segment (1) = 206 mm
The wall thickness of segment (1) = 10 mm
The outside diameter of the segment (2) = 138 mm
The wall thickness of segment (2) = 14 mm
The magnitude of the torque at point C = TC = 22 kN-m
The shear strain in segment 1 = 500
To determine:-
The magnitude of the external torque at B i.e. TB
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