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 L2 L1 F B (b) (c) F Figure 1: A steel pipe with two horizontal arms. A2) Providing the applied load F is no longer derived from your student ID. Derive an expression for this and hence determine the maximum allowable applied load (F) to ensure a safety factor of 1.5 against yielding (considering the von Mises yield criterion), 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 L2 L1 F B (b) (c) F Figure 1: A steel pipe with two horizontal arms. A2) Providing the applied load F is no longer derived from your student ID. Derive an expression for this and hence determine the maximum allowable applied load (F) to ensure a safety factor of 1.5 against yielding (considering the von Mises yield criterion), assuming the material has a yield stress of 600 MPa. Show your working
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
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)
Providing the applied load F is no longer derived from your student ID. Derive an expression
for this and hence determine the maximum allowable applied load (F) to ensure a safety
factor of 1.5 against yielding (considering the von Mises yield criterion), assuming the
material has a yield stress of 600 MPa. Show your working
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY