An axial load P = 300 x 10³ N is applied at 20°C to the rod as shown in Fig. The temperature is then raised to 60°C. (a) Assemble the K and F matrices. (b) Determine the nodal displacements and element stresses. Ex A ₁ α1 = 200 mm 1 -300 mm 2 70 × 10 N/m² E₂ 900 mm² A₂ 23 x 106 per C a₂ C) Calculate Reaction Forces at 1 & 3. Figure.8: Beam under axial loads X 200 x 10° N/m² 1200 mm² 11.7 x 10-6 per C

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
I want to answer all the questions by handwriting.
Use element matrices potential energy formulations to solve the beam problem shown in Figure.8. Make sure to
construct the grid information table and one-dimensional elements' line/mesh with appropriate labeling,
numbering and displacement, loads and nodal points.
An axial load P = 300 x 10³ N is applied at 20°C to the rod as shown
in Fig. The temperature is then raised to 60°C.
(a) Assemble the K and F matrices.
(b) Determine the nodal displacements and element stresses.
=
mitir
=
200 mm
1
E₁
A 1
α1 23 x 10 per C
70 × 10⁹ N/m²
900 mm²
300 mm
P 2
X=0
E2
A₂
%₂ =
=
Figure.8: Beam under axial loads
[904]
6
9.L
3
200 x 10° N/m²
1200 mm²
11.7 x 10-6 per C
C) Calculate Reaction Forces at 1 & 3.
D) If an additional distributed load is applied in the direction from 1 to 3(left to right) with value of
q=100x10³ N/m, calculate (A), (B) and (C) above.
E) If only Element 1 is subjected to the distributed load as shown in Figure.9 show that the external force is
given by :
9⁰
2
2 X=1
Transcribed Image Text:Use element matrices potential energy formulations to solve the beam problem shown in Figure.8. Make sure to construct the grid information table and one-dimensional elements' line/mesh with appropriate labeling, numbering and displacement, loads and nodal points. An axial load P = 300 x 10³ N is applied at 20°C to the rod as shown in Fig. The temperature is then raised to 60°C. (a) Assemble the K and F matrices. (b) Determine the nodal displacements and element stresses. = mitir = 200 mm 1 E₁ A 1 α1 23 x 10 per C 70 × 10⁹ N/m² 900 mm² 300 mm P 2 X=0 E2 A₂ %₂ = = Figure.8: Beam under axial loads [904] 6 9.L 3 200 x 10° N/m² 1200 mm² 11.7 x 10-6 per C C) Calculate Reaction Forces at 1 & 3. D) If an additional distributed load is applied in the direction from 1 to 3(left to right) with value of q=100x10³ N/m, calculate (A), (B) and (C) above. E) If only Element 1 is subjected to the distributed load as shown in Figure.9 show that the external force is given by : 9⁰ 2 2 X=1
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Strain Transformation
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
  • SEE MORE 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