Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
A channel shape is used to support the loads shown on the beam. The dimensions of the shape are also shown. Assume LAB 3 ft, LBc-9 ft, P=2300 lb, w=1100 lb/ft, b=16 in., d=10 in., t=0.500 in. Consider the entire 12-ft length of the beam and determine (a) the maximum tension bending stress at any location along the beam, and (b) the maximum compression bending stress at any location along the beam. LAB B W LBC Break the cross-sectional area into three areas: (1) Top horizontal flange with rectangular cross-section 16 in. x 0.500 in. (2) Left vertical stem with rectangular cross-section 0.500 in. x 9.5 in. (3) Right vertical stem with rectangular cross-section 0.500 in. x 9.5 in. b Find the areas and the centroid locations in the y-direction for each part. Enter the centroid locations, V₁, V2, and y3, as measured with respect to a reference axis at the bottom of the cross-section. In other words, let y = 0 at the bottom edge of the vertical stems.

A channel shape is used to support the loads shown on the beam. The dimensions of the shape are also shown. Assume LAB 3 ft, LBc-9 ft, P=2300 lb, w=1100 lb/ft, b=16 in., d=10 in., t=0.500 in. Consider the entire 12-ft length of the beam and determine (a) the maximum tension bending stress at any location along the beam, and (b) the maximum compression bending stress at any location along the beam. LAB B W LBC Break the cross-sectional area into three areas: (1) Top horizontal flange with rectangular cross-section 16 in. x 0.500 in. (2) Left vertical stem with rectangular cross-section 0.500 in. x 9.5 in. (3) Right vertical stem with rectangular cross-section 0.500 in. x 9.5 in. b Find the areas and the centroid locations in the y-direction for each part. Enter the centroid locations, V₁, V2, and y3, as measured with respect to a reference axis at the bottom of the cross-section. In other words, let y = 0 at the bottom edge of the vertical stems.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
A channel shape is used to support the loads shown on the beam. The dimensions of the shape are also shown. Assume LAB-3 ft, LBc-9 ft, P=2300 lb, w=1100 lb/ft, b=16 in., d=10 in., t=0.500 in. Consider the entire 12-ft length of the beam and determine (a) the maximum tension bending stress at any location along the beam, and (b) the maximum compression bending stress at any location along the beam. A LAB Answers: A1 = Break the cross-sectional area into three areas: (1) Top horizontal flange with rectangular cross-section 16 in. x 0.500 in. (2) Left vertical stem with rectangular cross-section 0.500 in. x 9.5 in. (3) Right vertical stem with rectangular cross-section 0.500 in. x 9.5 in. A₂ = A3 = Find the areas and the centroid locations in the y-direction for each part. Enter the centroid locations, y₁, y2, and y3, as measured with respect to a reference axis at the bottom of the cross-section. In other words, let y = 0 at the bottom edge of the vertical stems. i B i W i LBC in.² Y₁ = in.² Y₂ = in.² y3 = i i t i b y in. in. in.
Transcribed Image Text:A channel shape is used to support the loads shown on the beam. The dimensions of the shape are also shown. Assume LAB-3 ft, LBc-9 ft, P=2300 lb, w=1100 lb/ft, b=16 in., d=10 in., t=0.500 in. Consider the entire 12-ft length of the beam and determine (a) the maximum tension bending stress at any location along the beam, and (b) the maximum compression bending stress at any location along the beam. A LAB Answers: A1 = Break the cross-sectional area into three areas: (1) Top horizontal flange with rectangular cross-section 16 in. x 0.500 in. (2) Left vertical stem with rectangular cross-section 0.500 in. x 9.5 in. (3) Right vertical stem with rectangular cross-section 0.500 in. x 9.5 in. A₂ = A3 = Find the areas and the centroid locations in the y-direction for each part. Enter the centroid locations, y₁, y2, and y3, as measured with respect to a reference axis at the bottom of the cross-section. In other words, let y = 0 at the bottom edge of the vertical stems. i B i W i LBC in.² Y₁ = in.² Y₂ = in.² y3 = i i t i b y in. in. in.
Determine the centroid location in the y direction for the entire beam cross-section with respect to the reference axis at the bottom of the cross-section. Answer: y = i e Textbook and Media Save for Later Part 3 Consider again the cross-section broken into three area, as in Step 1: (1) Top horizontal flange with rectangular cross-section 16 in. x0.500 in. (2) Left vertical stem with rectangular cross-section 0.500 in. x9.5 in. (3) Right vertical stem with rectangular cross-section 0.500 in. x9.5 in. Determine the moment of inertia for each area about its own centroid and the distance from the centroid of each area to the centroid of the entire cross-section. For example, Ic₁ is the moment of inertia for area (1) about its own centroid, and d₁ is the distance from the centroid of area (1) to the centroid of the entire cross-section, y. Enter the distances d₁, d₂, and d3 as positive values here, regardless of whether the centroid for an area is above or below y. Answers: Ic1= Ic2= 3 Ic3 = i in. i i in.² d₁= in.² d₂= in.4 d3= i i i in. in. in.
Transcribed Image Text:Determine the centroid location in the y direction for the entire beam cross-section with respect to the reference axis at the bottom of the cross-section. Answer: y = i e Textbook and Media Save for Later Part 3 Consider again the cross-section broken into three area, as in Step 1: (1) Top horizontal flange with rectangular cross-section 16 in. x0.500 in. (2) Left vertical stem with rectangular cross-section 0.500 in. x9.5 in. (3) Right vertical stem with rectangular cross-section 0.500 in. x9.5 in. Determine the moment of inertia for each area about its own centroid and the distance from the centroid of each area to the centroid of the entire cross-section. For example, Ic₁ is the moment of inertia for area (1) about its own centroid, and d₁ is the distance from the centroid of area (1) to the centroid of the entire cross-section, y. Enter the distances d₁, d₂, and d3 as positive values here, regardless of whether the centroid for an area is above or below y. Answers: Ic1= Ic2= 3 Ic3 = i in. i i in.² d₁= in.² d₂= in.4 d3= i i i in. in. in.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 9 steps with 26 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS