Figure P.15.19 shows a frame pinned to supports at A and B. The frame centreline is a circular arc and its section is uniform, of bending sriffness EI and depth d. Find the maximum stress in the frame produced by a uniform temperature gradient through the depth, the temperature on the outer and inner surfaces being raised and lowered by an amount T. The coefficient of linear expansion of the material of the frame is a. (Hint. Treat half the frame as a curved cantilever built- in on its axis of symmetry and determine the horizontal reaction at a support by equating the horizontal deflection produced by the temperature gradient to the horizontal deflection produced by the reaction).
Figure P.15.19 shows a frame pinned to supports at A and B. The frame centreline is a circular arc and its section is uniform, of bending sriffness EI and depth d. Find the maximum stress in the frame produced by a uniform temperature gradient through the depth, the temperature on the outer and inner surfaces being raised and lowered by an amount T. The coefficient of linear expansion of the material of the frame is a. (Hint. Treat half the frame as a curved cantilever built- in on its axis of symmetry and determine the horizontal reaction at a support by equating the horizontal deflection produced by the temperature gradient to the horizontal deflection produced by the reaction).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question
Transcribed Image Text:30
30°
+T
Transcribed Image Text:Figure P.15.19 shows a frame pinned to supports at A and B. The frame centreline is a circular arc
and its section is uniform, of bending stiffness El and depth d. Find the maximum stress in the
frame produced by a uniform temperature gradient through the depth, the temperature on the
outer and inner surfaces being raised and lowered by an amount T. The coefficient of linear
expansion of the material of the frame is a. (Hint. Treat half the frame as a curved cantilever built-
in on its axis of symmetry and determine the horizontal reaction at a support by equating the
horizontal deflection produced by the temperature gradient to the horizontal deflection produced
by the reaction).
Ans. 1.29ETa.
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 2 steps with 2 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