Web (vertical section of cross-section): • du = 340 mm • t = 15 mm The loading of the beam can be modelled as the following free-body diagram, where P = 20 kN represents the dead load of each wall, and w = 4 kN/m represents the dead load of the flooring uniformly distributed over the span of the beam P t W L The Young's moduli of each material may be given by: • Steel: E, 200 GPa • Timber: E = 25 GPa The length of the beam is L= 8 m. The engineer will consider the stresses developed at the mid-span of the beam. The following beams will be considered: 1. all timber (flange + web), 2. a composite beam consisting of a steel flange and timber web, and a composite beam consisting of a timber flange and steel web. In all cases, assume both materials remain linear elastic under the loading. P 1.B. kN (assume upwards is positive) Bending Moment at Mid-Span of Beam For this problem, the engineer in interested in determining the stresses in the beam at its "mid-span" (i.e. halfway along its length). By first calculating the reactions on the beam, what is the internal bending moment within the beam at the "mid-span"? kN (assume upwards is positive) Ay = By= Bending moment at mid-span of beam: M₂ L/2 kNm Use this value of internal bending moment in the calculations to come for stress.
Web (vertical section of cross-section): • du = 340 mm • t = 15 mm The loading of the beam can be modelled as the following free-body diagram, where P = 20 kN represents the dead load of each wall, and w = 4 kN/m represents the dead load of the flooring uniformly distributed over the span of the beam P t W L The Young's moduli of each material may be given by: • Steel: E, 200 GPa • Timber: E = 25 GPa The length of the beam is L= 8 m. The engineer will consider the stresses developed at the mid-span of the beam. The following beams will be considered: 1. all timber (flange + web), 2. a composite beam consisting of a steel flange and timber web, and a composite beam consisting of a timber flange and steel web. In all cases, assume both materials remain linear elastic under the loading. P 1.B. kN (assume upwards is positive) Bending Moment at Mid-Span of Beam For this problem, the engineer in interested in determining the stresses in the beam at its "mid-span" (i.e. halfway along its length). By first calculating the reactions on the beam, what is the internal bending moment within the beam at the "mid-span"? kN (assume upwards is positive) Ay = By= Bending moment at mid-span of beam: M₂ L/2 kNm Use this value of internal bending moment in the calculations to come for stress.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question
100%
Transcribed Image Text:Web (vertical section of cross-section):
• du = 340 mm
• t = 15 mm
The loading of the beam can be modelled as the following free-body diagram, where P = 20 kN represents the dead load of each wall, and w = 4 kN/m represents the dead load of the
flooring uniformly distributed over the span of the beam
P
ů
W
L
P
The Young's moduli of each material may be given by:
• Steel: E, 200 GPa
• Timber: E = 25 GPa
In all cases, assume both materials remain linear elastic under the loading.
18.
The length of the beam is L = 8 m.
The engineer will consider the stresses developed at the mid-span of the beam. The following beams will be considered: 1. all timber (flange + web), 2. a composite
beam consisting of a steel flange and timber web, and 3. a composite beam consisting of a timber flange and steel web.
Bending Moment at Mid-Span of Beam
For this problem, the engineer in interested in determining the stresses in the beam at its "mid-span" (i.e. halfway along its length). By first calculating the reactions on
the beam, what is the internal bending moment within the beam at the "mid-span"?
Ay =
kN (assume upwards is positive)
By =
kN (assume upwards is positive)
Bending moment at mid-span of beam:
kNm
M₂ L/2=
Use this value of internal bending moment in the calculations to come for stress.
Transcribed Image Text:An engineer is designing a beam to support a flooring system above it, as well as two walls. The beam will be a T-section, though the engineer is considering the idea
of combining timber and steel to create a composite member for the application.
The dimensions of the T-section beam are shown below:
dw
The dimensions of the T-section beam are shown below:
bf
Flange (horizontal section of cross-section):
• bf = 340 mm
tf = 15 mm
●
Walls
Flooring
Beam
Expert Solution
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 3 steps with 2 images
Knowledge Booster
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 (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning