Calculate and plot the stress distribution with depth at a point 6.0 m from the corner (along the longest side) of a rectangularly loaded area 18 × 24 m with a uniform pressure of 175 kPa. Perform the calculation using the Boussinesq theoryand the 2:1 method. Comment on the results. When plotting stress distribution with depth, make sure the vertical axis (i.e. depth) increases downwards. Use z=0, 1, 5, 10, 15, 35, 50, and 100 m. Equations that may be helpful are attached.
Calculate and plot the stress distribution with depth at a point 6.0 m from the corner (along the longest side) of a rectangularly loaded area 18 × 24 m with a uniform pressure of 175 kPa. Perform the calculation using the Boussinesq theoryand the 2:1 method. Comment on the results. When plotting stress distribution with depth, make sure the vertical axis (i.e. depth) increases downwards. Use z=0, 1, 5, 10, 15, 35, 50, and 100 m. Equations that may be helpful are attached.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Calculate and plot the stress distribution with depth at a point 6.0 m from the corner (along the longest side) of a rectangularly loaded area 18 × 24 m with a uniform pressure of 175 kPa. Perform the calculation using the Boussinesq theoryand the 2:1 method. Comment on the results.
When plotting stress distribution with depth, make sure the vertical axis (i.e. depth) increases downwards. Use z=0, 1, 5, 10, 15, 35, 50, and 100 m. Equations that may be helpful are attached.
Transcribed Image Text:►Line load P:
2P
z3
2
π (r² +2²)2
► Corner of a uniformly loaded rectangular area:
qo
mn
2 [√m² +² +1 (m²+1 +²41)
2T
2
2
mn
= qol with I=
0₂ =
O₂ =
z
1
+ tan-¹
1
= [√m²
+
2π /m² +n²+1 m² +1
2
2
2
mn
√m² +n² +1,
F1)
1
n²+1
+ tan-¹
mn
F
√m² + n²+1,
2
2
where: qo: surface stress; m = x/z; n = y/z; x and y: length and width of the
uniformly loaded area
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 6 steps with 12 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