A faucet is stuck, and a person uses their hand to try to get it to move. They apply a force F = 100 N and simultaneously apply a torque T = 5 N·m. What is the state of stress at point A and at point B of the cross section taken at a-a? Take the angle 0 to be 45 and the diameter of cross-section to be D = 25 mm. The geometry and axes are as specified in the figure and parameter table. You can assume the hand acts like a rigid object when transmitting the force F to the handle. F L₂
A faucet is stuck, and a person uses their hand to try to get it to move. They apply a force F = 100 N and simultaneously apply a torque T = 5 N·m. What is the state of stress at point A and at point B of the cross section taken at a-a? Take the angle 0 to be 45 and the diameter of cross-section to be D = 25 mm. The geometry and axes are as specified in the figure and parameter table. You can assume the hand acts like a rigid object when transmitting the force F to the handle. F L₂
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:A faucet is stuck, and a person uses their hand to try to get it
to move. They apply a force F = 100 N and simultaneously
apply a torque T = 5 N·m. What is the state of stress at point
A and at point B of the cross section taken at a-a? Take the
angle 0 to be 45 and the diameter of cross-section to be D =
25 mm. The geometry and axes are as specified in the figure
and parameter table. You can assume the hand acts like a
rigid object when transmitting the force F to the handle.
F
2021 Cathy Zupke
D
B
Section a-a
parameter
value
units
Li
100
mm
L2
90
mm
D
25
mm
о
theta
45
F
100
N
T
5
N-m
What is the polar moment of inertia for the section at a-a? J
=
0.000000038.
σm¹
What is the moment of inertia for section a-a around its
centroidal axis? I₂ = 0.000000019
0
4
m
Part 2 of 4
![Remember to keep more than 3 sigfigs for J, and I ₂ and any
other intermediate values.
What is the normal stress at A and at B due to the internal
normal (+tension,
- =
compression)? σ₁ = σB =
MPa
What is the bending stress at A (+=tension,
[σA]b =
MPa
What is the bending stress at B (+=tension,
[σB]b
=
MPa
- =
compression)?
- =
compression)?
What is the magnitude of the shear stress at A and B due to
torsion? | Ttorsion=
MPa
What is the value for QA for shear along the y axis (for use in
the shear formula)?
m³
3
What is the value for QB for shear along the y axis (for use in
the shear formula)?
m³
What is the magnitude of the shear stress at A due to the
internal shear force? [TA]V
=
MPa
What is the magnitude of the shear stress at B due to the
internal shear force? [TB] =
MPa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e7ba281-dd87-4688-be97-9abf26130e05%2Fd71eef0b-f342-43ae-8fa9-adaaa47f46e5%2Ftwdqwhc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Remember to keep more than 3 sigfigs for J, and I ₂ and any
other intermediate values.
What is the normal stress at A and at B due to the internal
normal (+tension,
- =
compression)? σ₁ = σB =
MPa
What is the bending stress at A (+=tension,
[σA]b =
MPa
What is the bending stress at B (+=tension,
[σB]b
=
MPa
- =
compression)?
- =
compression)?
What is the magnitude of the shear stress at A and B due to
torsion? | Ttorsion=
MPa
What is the value for QA for shear along the y axis (for use in
the shear formula)?
m³
3
What is the value for QB for shear along the y axis (for use in
the shear formula)?
m³
What is the magnitude of the shear stress at A due to the
internal shear force? [TA]V
=
MPa
What is the magnitude of the shear stress at B due to the
internal shear force? [TB] =
MPa
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 12 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