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Scenario A pipe made from martensitic steel, with inner and outer diameters of 56 mm and 60 mm, respectively, has been fixed perpendicularly to a wall, and the pipe lies along the X-axis, as presented in Fig. 1a. Two steel arms of the same length have been welded perpendicularly (along the Y-axis) to the pipe, on the same X-Y plane (Fig. 1b, view along the X-axis), and the arms are parallel to the wall (Fig. 1c, view along the Z-axis). The two arms are subjected to external vertical loading (along the Z-axis) in opposite directions with equal magnitude (Fig. 1a). The arms are made of the same material as the pipe, and they can be assumed to be rigid (no deflection within the arms). Please note the lengths and diameters of the pipe/arms in the figure are not to scale. (a) L3 L1 = 64(in cm) L2 = 48 (in cm) L3 = 83(in cm) F = 63(in N) L1 L1 F (b) (c) 4 Figure 1: A steel pipe with two horizontal arms. A2) Calculate the von Mises equivalent stress at position C for your geometry and load, and state whether yielding occurs, assuming the material has a yield stress of 600 MPa. Show your working.

Scenario A pipe made from martensitic steel, with inner and outer diameters of 56 mm and 60 mm, respectively, has been fixed perpendicularly to a wall, and the pipe lies along the X-axis, as presented in Fig. 1a. Two steel arms of the same length have been welded perpendicularly (along the Y-axis) to the pipe, on the same X-Y plane (Fig. 1b, view along the X-axis), and the arms are parallel to the wall (Fig. 1c, view along the Z-axis). The two arms are subjected to external vertical loading (along the Z-axis) in opposite directions with equal magnitude (Fig. 1a). The arms are made of the same material as the pipe, and they can be assumed to be rigid (no deflection within the arms). Please note the lengths and diameters of the pipe/arms in the figure are not to scale. (a) L3 L1 = 64(in cm) L2 = 48 (in cm) L3 = 83(in cm) F = 63(in N) L1 L1 F (b) (c) 4 Figure 1: A steel pipe with two horizontal arms. A2) Calculate the von Mises equivalent stress at position C for your geometry and load, and state whether yielding occurs, assuming the material has a yield stress of 600 MPa. Show your working.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Scenario A pipe made from martensitic steel, with inner and outer diameters of 56 mm and 60 mm, respectively, has been fixed perpendicularly to a wall, and the pipe lies along the X-axis, as presented in Fig. 1a. Two steel arms of the same length have been welded perpendicularly (along the Y-axis) to the pipe, on the same X-Y plane (Fig. 1b, view along the X-axis), and the arms are parallel to the wall (Fig. 1c, view along the Z-axis). The two arms are subjected to external vertical loading (along the Z-axis) in opposite directions with equal magnitude (Fig. 1a). The arms are made of the same material as the pipe, and they can be assumed to be rigid (no deflection within the arms). Please note the lengths and diameters of the pipe/arms in the figure are not to scale. (a) L3 ‒‒‒‒‒‒‒‒‒‒‒‒ţ L1 = 64(in cm) L2 = 48 (in cm) L3 = 83(in cm) F = 63(in N) L1 L1 L2 F B (b) Figure 1: A steel pipe with two horizontal arms. (c) A2) Calculate the von Mises equivalent stress at position C for your geometry and load, and state whether yielding occurs, assuming the material has a yield stress of 600 MPa. Show your working.
Transcribed Image Text:Scenario A pipe made from martensitic steel, with inner and outer diameters of 56 mm and 60 mm, respectively, has been fixed perpendicularly to a wall, and the pipe lies along the X-axis, as presented in Fig. 1a. Two steel arms of the same length have been welded perpendicularly (along the Y-axis) to the pipe, on the same X-Y plane (Fig. 1b, view along the X-axis), and the arms are parallel to the wall (Fig. 1c, view along the Z-axis). The two arms are subjected to external vertical loading (along the Z-axis) in opposite directions with equal magnitude (Fig. 1a). The arms are made of the same material as the pipe, and they can be assumed to be rigid (no deflection within the arms). Please note the lengths and diameters of the pipe/arms in the figure are not to scale. (a) L3 ‒‒‒‒‒‒‒‒‒‒‒‒ţ L1 = 64(in cm) L2 = 48 (in cm) L3 = 83(in cm) F = 63(in N) L1 L1 L2 F B (b) Figure 1: A steel pipe with two horizontal arms. (c) A2) Calculate the von Mises equivalent stress at position C for your geometry and load, and state whether yielding occurs, assuming the material has a yield stress of 600 MPa. Show your working.
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