If the length of strut is 1.5 m and axial load P = 23 kN with w = 2.5 kN/m, calculate maximum bending moment. Take I = 2 x 10ª mm* and depth of symmetric section in the direction of loading is 12.5 mm. Also, take Young's modulus E = 200 kN/mm².

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

Question from Subject Mechanics of Deformable Solids.

1. An initially perfectly straight uniform strut of length I is hinged at both ends and carries an
axial load P. At the same time it is subjected to transverse loading which varies uniformly from
zero at one end to maximum intensity of w/unit run at the other end. Prove that bending moment
at a distance x from the end where transverse load is zero is
w sin px
р2 'sin pl
PX – ), where p² = P/EI
M
If the length of strut is 1.5 m and axial load P = 23 kN with w = 2.5 kN/m, calculate maximum
bending moment. Take I = 2 x 10 mm“ and depth of symmetric section in the direction of
loading is 12.5 mm. Also, take Young's modulus E = 200 kN/mm².
Transcribed Image Text:1. An initially perfectly straight uniform strut of length I is hinged at both ends and carries an axial load P. At the same time it is subjected to transverse loading which varies uniformly from zero at one end to maximum intensity of w/unit run at the other end. Prove that bending moment at a distance x from the end where transverse load is zero is w sin px р2 'sin pl PX – ), where p² = P/EI M If the length of strut is 1.5 m and axial load P = 23 kN with w = 2.5 kN/m, calculate maximum bending moment. Take I = 2 x 10 mm“ and depth of symmetric section in the direction of loading is 12.5 mm. Also, take Young's modulus E = 200 kN/mm².
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Pavement management
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
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