simply supported beam with a span of 8 m is subjected to a uniform vertical downward load equal to 50 kN/m, acting on the plane of the minor axis of the beam section, which includes the beam weight. The beam is restrained against lateral buckling of the top and bottom flanges for the entire span. The material is A36 steel with Fy = 248 MPa and E = 200 GPa. The allowable flexural stress for laterally braced compact sections is 0.66Fy. The allowable deflection is 1/360 of the span.

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
100%
A simply supported beam with a span of 8 m is subjected to a uniform vertical downward load equal to 50 kN/m, acting on the plane of the minor axis of the beam section, which includes the beam weight. The beam is restrained against lateral buckling of the top and bottom flanges for the entire span. The material is A36 steel with Fy = 248 MPa and E = 200 GPa. The allowable flexural stress for laterally braced compact sections is 0.66Fy. The allowable deflection is 1/360 of the span.
 
 
1. Determine the minimum section modulus Sx, in m³, such that the maximum flexural stress will not be exceeded. 
a. 0.0024
b. 0.0038
c. 0.0042
d. 0.0052
2. Determine the minimum moment of inertia Ιx, in m⁴, such that the minimum deflection will not be exceeded.
a. 0.00096
b. 0.00047
c. 0.0024
d. 0.00060
3. Assuming that the shear stress is not critical, which of the sections being considered is the most economical section for the given load. 
a. W 24x55
b. W21x62
c. W 21x68
d. none
Three compact sections are being considered:
section
W 24x55
W 21x62
W 21x68
Beam Depth I (m')
0.598 m
0.533 m
0.537 m
0.000558m
0.000554m
0.000616m
Transcribed Image Text:Three compact sections are being considered: section W 24x55 W 21x62 W 21x68 Beam Depth I (m') 0.598 m 0.533 m 0.537 m 0.000558m 0.000554m 0.000616m
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Members with compression and bending
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