spansion coefficient a = 2.6 × 10-6/°C. It is 1 mm thick with fixec of 60°C and 10°C, respectively, at the leftmost ends of its hot arn s shown below. Suppose the bimorph has a uniform internal he 100 W/m³, and ignore the effects of convective heat transfer. (1) eady-state temperature distribution in the thermal bimorph. (2) ermally induced deformation and stresses in the bimorph if the ed on their left ends.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
9.5 The following thermal bimorph is made of Silicon with a thermal conductivity
k = 130 W/(m°C), Young's modulus E = 200 GPa, Poisson's ratio v = 0.27, and ther-
mal expansion coefficient a = 2.6 × 10-6/°C. It is 1 mm thick with fixed tempera-
tures of 60°C and 10°C, respectively, at the leftmost ends of its hot arm and cold
arm, as shown below. Suppose the bimorph has a uniform internal heat genera-
tion at 100 W/m³, and ignore the effects of convective heat transfer. (1) Determine
the steady-state temperature distribution in the thermal bimorph. (2) Determine
the thermally induced deformation and stresses in the bimorph if the two arms
are fixed on their left ends.
Hot arm
Thot = 60°C
Cold arm
Tcold = 10°C
All dimensions are in millimeters.
6.000-
3.000
2.000
2.000
200
12.000
5.000
3.000
Transcribed Image Text:9.5 The following thermal bimorph is made of Silicon with a thermal conductivity k = 130 W/(m°C), Young's modulus E = 200 GPa, Poisson's ratio v = 0.27, and ther- mal expansion coefficient a = 2.6 × 10-6/°C. It is 1 mm thick with fixed tempera- tures of 60°C and 10°C, respectively, at the leftmost ends of its hot arm and cold arm, as shown below. Suppose the bimorph has a uniform internal heat genera- tion at 100 W/m³, and ignore the effects of convective heat transfer. (1) Determine the steady-state temperature distribution in the thermal bimorph. (2) Determine the thermally induced deformation and stresses in the bimorph if the two arms are fixed on their left ends. Hot arm Thot = 60°C Cold arm Tcold = 10°C All dimensions are in millimeters. 6.000- 3.000 2.000 2.000 200 12.000 5.000 3.000
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Physical laws and observations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning