A flanged wooden shape is used to support the loads shown. The dimensions of the shape are shown. Consider the entire 16 ft length of the beam, and determine (a) Calculate the inertia (b) Sketch the shear and moment diagram for this beam (c) the maximum tensile bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations) (d) the maximum compressive bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations)) (e) the maximum shear stress in the beam and (sketch the shear stress distribution and show the calculations) 4 in. 1 in. 2 kips 2.2 kips (1) 1 in. 1 kip/ft 7 in. 12 (2) 10 in. 5 in. (3) В E 6 ft 3 ft * 3ft 4 ft 8 in. 1 in.
A flanged wooden shape is used to support the loads shown. The dimensions of the shape are shown. Consider the entire 16 ft length of the beam, and determine (a) Calculate the inertia (b) Sketch the shear and moment diagram for this beam (c) the maximum tensile bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations) (d) the maximum compressive bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations)) (e) the maximum shear stress in the beam and (sketch the shear stress distribution and show the calculations) 4 in. 1 in. 2 kips 2.2 kips (1) 1 in. 1 kip/ft 7 in. 12 (2) 10 in. 5 in. (3) В E 6 ft 3 ft * 3ft 4 ft 8 in. 1 in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:## Analysis of a Flanged Wooden Beam
A flanged wooden shape is used to support a series of loads. The following considerations are made over the entire 16 ft length of the beam. The tasks are to determine:
### (a) Calculate the Inertia
- **Task**: Determine the moment of inertia for the beam section.
### (b) Sketch the Shear and Moment Diagram for the Beam
- **Task**: Create diagrams that depict the shear forces and bending moments along the beam.
### (c) Maximum Tensile Bending Stress in the Beam
- **Task**: Calculate and illustrate the maximum tensile bending stress, with detailed calculations of this stress distribution.
### (d) Maximum Compressive Bending Stress in the Beam
- **Task**: Calculate and illustrate the maximum compressive bending stress, with detailed calculations of this stress distribution.
### (e) Maximum Shear Stress in the Beam
- **Task**: Calculate and sketch the shear stress distribution, showing detailed calculations.
### Diagram Explanation
#### Beam Setup
- **Support Configuration**:
- A pin support at point A.
- A roller support at point D.
- **Load Distribution**:
- A 1 kip/ft distributed load from A to B (6 ft span).
- A concentrated load of 2 kips at point C (3 ft from B).
- A concentrated load of 2.2 kips at point E (4 ft from D).
#### Cross-Section Diagram
- **Dimensions**:
- Total height: 12 in.
- Widths:
- Flange: 8 in at base, 4 in at top.
- Thicknesses:
- Flange: 1 in.
- Web: 1 in.
- **Segments**:
- (1) Top flange: 4 in width
- (2) Web: 10 in height
- (3) Bottom flange: 8 in width
These details are critical for performing structural analysis on the beam to ensure it can safely sustain the applied loads.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 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