A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, tf = 20 mm, d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine (a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H (positive if tensile and negative if compressive). (c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. M Answers: (a) y = 1₂= S= (b) 0 = (c) max = M 88.684210526316 14.560153508772 164.179772502473 -31.213522847594 66.999727386236 H mm (10%) mm 4 (10³) mm³ MPa MPa by Cross section 4
A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, tf = 20 mm, d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine (a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H (positive if tensile and negative if compressive). (c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. M Answers: (a) y = 1₂= S= (b) 0 = (c) max = M 88.684210526316 14.560153508772 164.179772502473 -31.213522847594 66.999727386236 H mm (10%) mm 4 (10³) mm³ MPa MPa by Cross section 4
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.5.12P: A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a...
Related questions
Question
100%
PLEASE SHOW COMPLETE SOLUTION. CORRECT ANSWER ARE GIVEN BELOW FOR YOUR REFERENCE.
![A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, t+= 20 mm,
d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine
(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section
modulus about the z axis.
(b) the bending stress at point H (positive if tensile and negative if compressive).
(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.
M
Answers:
(a) y =
1/₂ =
S=
(b) 0μ =
(c) Gmax
=
M
88.684210526316
14.560153508772
164.179772502473
-31.213522847594
66.999727386236
X
H
mm
(10%) mm4
(10³) mm³
MPa
Cross section
MPa
bf](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37492199-3ad1-48b9-be82-ddfbde96a661%2Ffeedca6a-1c89-41c2-ab5a-344e35dbbdfe%2F6fmmlqt_processed.png&w=3840&q=75)
Transcribed Image Text:A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, t+= 20 mm,
d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine
(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section
modulus about the z axis.
(b) the bending stress at point H (positive if tensile and negative if compressive).
(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.
M
Answers:
(a) y =
1/₂ =
S=
(b) 0μ =
(c) Gmax
=
M
88.684210526316
14.560153508772
164.179772502473
-31.213522847594
66.999727386236
X
H
mm
(10%) mm4
(10³) mm³
MPa
Cross section
MPa
bf
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 4 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning