Problem 1 A simply supported rectangular wooden beam has a span of 6 m. and carries a total uniform load of 25 kN/m including its own weight. The beam is made up of 50% stress grade Agoho. (Refer to table for the allowable stresses) a. If the beam width is 200mm and beam depth is 400 mm. What is the maximum flexural stress of the beam? Is it safe? b. What should be the area of the beam that will not exceed the allowable shearing stress? Species I. High Strength Group Agoho Liusin Malabayabas Manggachapui Molave Narig Sasalit Yakal Table TMBR-2: Properties of Philippine Wood at 50% Grade Modulus of Compression Elasticity in Parallel to Bending Grain Bending and Tension Parallel to Grain MPa 16.40 15.60 17.90 16.10 15.00 13.60 19.60 15-30 GPa 5.14 5.85 5.19 6.02 4.09 5.20 6.08 3.11 MPa 9.06 9.76 9.90 10.0 9.60 8.59 13.5 9-55 Compression Perpendicular to Grain MPa 3.69 2.69 5-44 3-77 3.96 3.11 6.40 3.92 Shear Parallel to Grain MPa 1.84 1.65 1.89 1.74 1.80 1.63 2.12 1.55
Problem 1 A simply supported rectangular wooden beam has a span of 6 m. and carries a total uniform load of 25 kN/m including its own weight. The beam is made up of 50% stress grade Agoho. (Refer to table for the allowable stresses) a. If the beam width is 200mm and beam depth is 400 mm. What is the maximum flexural stress of the beam? Is it safe? b. What should be the area of the beam that will not exceed the allowable shearing stress? Species I. High Strength Group Agoho Liusin Malabayabas Manggachapui Molave Narig Sasalit Yakal Table TMBR-2: Properties of Philippine Wood at 50% Grade Modulus of Compression Elasticity in Parallel to Bending Grain Bending and Tension Parallel to Grain MPa 16.40 15.60 17.90 16.10 15.00 13.60 19.60 15-30 GPa 5.14 5.85 5.19 6.02 4.09 5.20 6.08 3.11 MPa 9.06 9.76 9.90 10.0 9.60 8.59 13.5 9-55 Compression Perpendicular to Grain MPa 3.69 2.69 5-44 3-77 3.96 3.11 6.40 3.92 Shear Parallel to Grain MPa 1.84 1.65 1.89 1.74 1.80 1.63 2.12 1.55
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer problem1
![Problem 1
A simply supported rectangular wooden beam has a span of 6 m. and carries a
total uniform load of 25 kN/m including its own weight. The beam is made up of 50% stress grade
Agoho. (Refer to table for the allowable stresses)
a. If the beam width is 200mm and beam depth is 400 mm. What is the maximum flexural stress
of the beam? Is it safe?
b. What should be the area of the beam that will not exceed the allowable shearing stress?
Species
I. High Strength Group
Agoho
Liusin
Malabayabas
Manggachapui
Molave
Narig
Sasalit
Yakal
Table TMBR-2: Properties of Philippine Wood at 50% Grade
Bending and
Modulus of
Compression
Elasticity in
Parallel to
Tension Parallel
to Grain
Bending
Grain
MPa
16.40
15.60
17.90
16.10
15.00
13.60
19.60
15-30
GPa
5.14
5.85
5.19
6.02
4.09
5.20
6.08
3.11
MPa
9.06
9.76
9.90
10.0
9.60
8.59
13.5
9-55
Compression
Perpendicular
to Grain
MPa
3.69
2.69
5-44
3-77
3.96
3.11
6.40
3.92
Shear Parallel
to Grain
MPa
1.84
1.65
1.89
1.74
1.80
1.63
2.12
1.55](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6f87b37-da2c-46c3-aebb-90ddf6eedf0a%2Fd8dc303a-5151-496f-bc39-cb0a75c80756%2Fqum9ipl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1
A simply supported rectangular wooden beam has a span of 6 m. and carries a
total uniform load of 25 kN/m including its own weight. The beam is made up of 50% stress grade
Agoho. (Refer to table for the allowable stresses)
a. If the beam width is 200mm and beam depth is 400 mm. What is the maximum flexural stress
of the beam? Is it safe?
b. What should be the area of the beam that will not exceed the allowable shearing stress?
Species
I. High Strength Group
Agoho
Liusin
Malabayabas
Manggachapui
Molave
Narig
Sasalit
Yakal
Table TMBR-2: Properties of Philippine Wood at 50% Grade
Bending and
Modulus of
Compression
Elasticity in
Parallel to
Tension Parallel
to Grain
Bending
Grain
MPa
16.40
15.60
17.90
16.10
15.00
13.60
19.60
15-30
GPa
5.14
5.85
5.19
6.02
4.09
5.20
6.08
3.11
MPa
9.06
9.76
9.90
10.0
9.60
8.59
13.5
9-55
Compression
Perpendicular
to Grain
MPa
3.69
2.69
5-44
3-77
3.96
3.11
6.40
3.92
Shear Parallel
to Grain
MPa
1.84
1.65
1.89
1.74
1.80
1.63
2.12
1.55
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 3 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, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning