The gate AB below (S.G. = 8.0) is 0.1 m thick, 2 m long (from A to B), and 10 m wide into the page. It is hinged at point A and has a stopper at point B that can hold back water up to a depth of 4m before it fails. What is the force provided by this stopper just before it fails, when water depth is 4m? Assume that when water depth is 4m, the centroid of the gate is located 3.1 m below the water surface. Account for the weight of the gate (acting through the gate's centroid), but assume the hinge is frictionless and negligibly small. Assume water density is constant and static conditions apply. hinge (at A) centroid of gate Fstopper (perpendicular to gate, at B) WALL 3.1 m A 4 m 60° B GROUND H₂O
The gate AB below (S.G. = 8.0) is 0.1 m thick, 2 m long (from A to B), and 10 m wide into the page. It is hinged at point A and has a stopper at point B that can hold back water up to a depth of 4m before it fails. What is the force provided by this stopper just before it fails, when water depth is 4m? Assume that when water depth is 4m, the centroid of the gate is located 3.1 m below the water surface. Account for the weight of the gate (acting through the gate's centroid), but assume the hinge is frictionless and negligibly small. Assume water density is constant and static conditions apply. hinge (at A) centroid of gate Fstopper (perpendicular to gate, at B) WALL 3.1 m A 4 m 60° B GROUND H₂O
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The gate AB below (S.G. = 8.0) is 0.1 m thick, 2 m long (from A to B), and 10 m wide into the
page. It is hinged at point A and has a stopper at point B that can hold back water up to a depth
of 4m before it fails. What is the force provided by this stopper just before it fails, when water
depth is 4m? Assume that when water depth is 4m, the centroid of the gate is located 3.1 m
below the water surface. Account for the weight of the gate (acting through the gate's centroid),
but assume the hinge is frictionless and negligibly small. Assume water density is constant and
static conditions apply.
hinge
(at A)
centroid of gate
Fstopper
(perpendicular
to gate, at B)
WALL
3.1 m
A
4 m
60°
B
GROUND
H₂O
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 2 steps with 4 images
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