A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 61 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1).
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 61 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 ×
10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a
cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a
concentrated load of P = 61 kips is applied and the temperature is increased to 100°F, determine the
normal force in bar (1).
A
6 ft
2.5 ft
(1)
B
3 ft
C
P
8 ft
1.5 ft
(2)
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4baddd6-3c5b-4afa-8211-f663ac274aa6%2F6a86a803-421c-4c96-aea4-95ffc6948013%2F8t6cymk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 ×
10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a
cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a
concentrated load of P = 61 kips is applied and the temperature is increased to 100°F, determine the
normal force in bar (1).
A
6 ft
2.5 ft
(1)
B
3 ft
C
P
8 ft
1.5 ft
(2)
D
Transcribed Image Text:2.5 ft
6.36 kips
O 6.00 kips
7.18 kips
07.80 kips
3.84 kips
3 ft
1.5 ft
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Introduction of solution
VIEWStep 2: Data given for bar 1 and bar 2
VIEWStep 3: Assume bar 1 force As F and calculation of force in bar 2 in terms of F
VIEWStep 4: Calculation of elongation of bar 1 and bar 2 in terms of F inches
VIEWStep 5: Rigid bar ABCD deflection relationship between B and D
VIEWStep 6: Now final calculation of Normal force F in bar 1
VIEWSolution
VIEW
Step by step
Solved in 7 steps with 6 images
Knowledge Booster
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.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning