(a) Write equations for the internal forces at J (axial (F), shear (V), and bending (M)) in terms of only P and a. (b) Graph your equations as functions of P, using a = 45°, from 0

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
icon
Related questions
Question
(a) Write equations for the internal forces at J (axial (F), shear (V), and bending (M)) in
terms of only P and a.
(b) Graph your equations as functions of P, using a = 45°, from 0 < P < 1000 N. Use your
graph to answer the following conceptual questions:
1. Which quantity (F, V, or M) is most affected by changes in P?
2. Based on your diagrams and graphical results, for positive values of P...
I.
Is point J under tension or compression?
II.
If the structure fails (snaps) at a point just to the right of J, which direction
does your diagram indicate point J will travel (up or down)?
III.
Which direction do your results indicate member BC will tend to bend,
concave up or down?
3. For different values of a, what will happen to these lines? Choose all that apply:
a. They will shift up/down
b. They will shift left/right
c. They will rotate (change slope)
d. Nothing
(c) Graph your equations as functions of a, using P = 100 N, from 0 < a < 2π. Use your
graph to identify what value of a between 0 and 2π (non-inclusive) will produce...
1. Zero axial stress
2. Zero shear stress
3. Zero bending stress
α
P
B
A
75 mm
J
-350 mm-
400 mm-
C
D
150 mm.
100 mm
Transcribed Image Text:(a) Write equations for the internal forces at J (axial (F), shear (V), and bending (M)) in terms of only P and a. (b) Graph your equations as functions of P, using a = 45°, from 0 < P < 1000 N. Use your graph to answer the following conceptual questions: 1. Which quantity (F, V, or M) is most affected by changes in P? 2. Based on your diagrams and graphical results, for positive values of P... I. Is point J under tension or compression? II. If the structure fails (snaps) at a point just to the right of J, which direction does your diagram indicate point J will travel (up or down)? III. Which direction do your results indicate member BC will tend to bend, concave up or down? 3. For different values of a, what will happen to these lines? Choose all that apply: a. They will shift up/down b. They will shift left/right c. They will rotate (change slope) d. Nothing (c) Graph your equations as functions of a, using P = 100 N, from 0 < a < 2π. Use your graph to identify what value of a between 0 and 2π (non-inclusive) will produce... 1. Zero axial stress 2. Zero shear stress 3. Zero bending stress α P B A 75 mm J -350 mm- 400 mm- C D 150 mm. 100 mm
Expert Solution
steps

Step by step

Solved in 6 steps with 11 images

Blurred answer
Knowledge Booster
Theories of Failure
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.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY