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. ||

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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y
TB
TC
(1)
(2)
B.
FIGURE P6.4
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
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 μrad

To determine:-

The magnitude of the external torque at B i.e. TB 

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