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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 L2 F B (b) (c) I Figure 1: A steel pipe with two horizontal arms. A1) Produce a Mohr's circle for the stress state of a 2D plane stress element at position C (located on the upper surface of the pipe) for your geometry and load, and calculate the values of the maximum in-plane shear stress and the maximum and minimum inplane principal stresses. 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 L2 F B (b) (c) I Figure 1: A steel pipe with two horizontal arms. A1) Produce a Mohr's circle for the stress state of a 2D plane stress element at position C (located on the upper surface of the pipe) for your geometry and load, and calculate the values of the maximum in-plane shear stress and the maximum and minimum inplane principal stresses. Show your working.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.3P: 1.3 A furnace wall is to be constructed of brick having standard dimensions of Two kinds of...
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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) A1) Produce a Mohr's circle for the stress state of a 2D plane stress element at position C (located on the upper surface of the pipe) for your geometry and load, and calculate the values of the maximum in-plane shear stress and the maximum and minimum inplane principal stresses. 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) A1) Produce a Mohr's circle for the stress state of a 2D plane stress element at position C (located on the upper surface of the pipe) for your geometry and load, and calculate the values of the maximum in-plane shear stress and the maximum and minimum inplane principal stresses. Show your working.
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