Figure Q2a shows an asymmetric cross-section of solid beam, calculate the centroid for the beam section giving your answer in the form of (ï, ỹ) relative to the origin O in millimetres (mm). Assume the beam section material is homogeneous and of uniform thickness. Beam Cross-Section 75 mm 15 mm 10 mm 145 mm 30 mm 150 mm

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
icon
Related questions
Question
Question 2
a) Figure Q2a shows an asymmetric cross-section of solid beam, calculate the
centroid for the beam section giving your answer in the form of (x, ỹ) relative to the
origin O in millimetres (mm). Assume the beam section material is homogeneous
and of uniform thickness.
Beam Cross-Section
y
75 mm
15 mm
10 mm
145 mm
30 mm
150 mm
Figure Q2a
b) A simply supported beam has a symmetrical rectangular cross-section. If the
second moment of area (I) of a beam with a rectangular cross-section is
11.50 x 106 mm“ about its centroidal x-axis and the depth dimension (d) of the
rectangular section is 180 mm, determine the breadth dimension (b) for this beam
section. Give your answer in millimetres (mm) and to 2 decimal places. Assume
the beam section material is homogeneous.
c) The same rectangular cross-section beam in Q2b is subjected to a maximum
bending moment of 25,000 Nm and experiences sagging. Assuming that the
centroidal axis passes through the beam section at (d/2), calculate the maximum
bending stress (ơmax) the beam will experience. Give your answer in N/mm? and to 2
decimal places.
Transcribed Image Text:Question 2 a) Figure Q2a shows an asymmetric cross-section of solid beam, calculate the centroid for the beam section giving your answer in the form of (x, ỹ) relative to the origin O in millimetres (mm). Assume the beam section material is homogeneous and of uniform thickness. Beam Cross-Section y 75 mm 15 mm 10 mm 145 mm 30 mm 150 mm Figure Q2a b) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm“ about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (ơmax) the beam will experience. Give your answer in N/mm? and to 2 decimal places.
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
Slope and Deflection
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L