第六章 土压力 讲解学习
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P0 12H2K0
第二节 朗肯土压力理论
Rankine’s theory
Active earth pressure in cohesionless soils
The wall moves away from the earthfill, Vertical stress is major principal stress
f
45 2
岩土工程研究所
3 p a (z q )t2 g (4 5 2 ) (z q )K a
第二节 朗肯土压力理论
Rankine’s theory
Active earth pressure in cohesionless soils
1 z q
Surcharge Pa=rH 2K a/2+qH K a
岩土工程研究所
第一节 概述 Introduction
What is earth pressure?
Earth pressure: The pressure applied on a retaining wall from soil
岩土工程研究所
第一节 概述 Introduction
Types of earth pressure?
岩土工程研究所
第一节 概述 Introduction
At-rest earth pressure?
Under natural conditions of deposition, with semi-infinite extent,
there is a negligible amount of horizontal strain, the soil is said to
第二节 朗肯土压力理论
Rankine’s theory
Active earth pressure in cohesionless soils
The wall moves away from the earthfill, Vertical stress is major principal stress
be in an at-rest state (or K0 state), and the horizontal effective
stress is:
h K0v
Where K0=coefficient of earth pressure at rest .
岩土工程研究所
The resultant thrust is equal to the area of the pressure distribution diagram, I.e.
主动土压力 Active earth pressure 被动土压力 Passive earth pressure 静止土压力 Earth pressure at rest
A ctiv e p re s s u re
A t-rest p re s s u re
岩土工程研究所
P a ssive p re s s u re
Soil in state of plastic equilibrium
1 z 3
Pa=rH 2K a/2
H Pa
H /3
Smooth vertical back, horizontal surface
岩土工程研究所
pa=rH Ka
3pazt2(g 45 2)zK a
Ka is coefficient of active earth pressure
Vertical stress is minor principal stress
Surcharge
3 z q
Pp=rH 2K p/2+qH K p
The line of action of Pp passes through
Pa
the area of the trapezia
p1
qKa rH Ka
3 p a (z q )t2 g (4 5 2 ) (z q )K a
h 2p1 p2 H
P
H
3(p1 p2)
h
岩土工程研究所
p2
第二节 朗肯土压力理论
Rankine’s theory
Passive earth pressure in cohesionless soils
A uniform
Surcharge
surcharge load (q) is applied over the whole surface
1 z q 3
Pa=rH 2K a/2+qH K a H
Pa
Pressure distribution
1 z q 3
S u rc h a rg e
qKa rH Ka
The resultant thrust is equal to the area of the pressure distribution diagram, I.e. the area of trapezia
The line of action of Pa
3
H passes through the center of
The wall moves towards the earthfill, Vertical stress is minor principal stress
3 z
P p= rH 2K p/2
1
Pp
H
H百度文库3
Passive earth pressure
rH K p
岩土工程研究所
Kp is coefficient passive earth
pressure
of
1ppzt2(g 45 2)zK p
第二节 朗肯土压力理论
Rankine’s theory
Passive earth pressure in cohesionless soils
The resultant thrust is equal to the area of the pressure distribution diagram
第六章 土压力
Chapter 6 Earth Pressure
岩土工程研究所
第一节 概述 Introduction
土压力概念 What is earth pressure? 土压力种类： Types of earth pressure 静止土压力： Earth pressure at rest
第二节 朗肯土压力理论
Rankine’s theory
Active earth pressure in cohesionless soils
The wall moves away from the earthfill, Vertical stress is major principal stress
f
45 2
岩土工程研究所
3 p a (z q )t2 g (4 5 2 ) (z q )K a
第二节 朗肯土压力理论
Rankine’s theory
Active earth pressure in cohesionless soils
1 z q
Surcharge Pa=rH 2K a/2+qH K a
岩土工程研究所
第一节 概述 Introduction
What is earth pressure?
Earth pressure: The pressure applied on a retaining wall from soil
岩土工程研究所
第一节 概述 Introduction
Types of earth pressure?
岩土工程研究所
第一节 概述 Introduction
At-rest earth pressure?
Under natural conditions of deposition, with semi-infinite extent,
there is a negligible amount of horizontal strain, the soil is said to
第二节 朗肯土压力理论
Rankine’s theory
Active earth pressure in cohesionless soils
The wall moves away from the earthfill, Vertical stress is major principal stress
be in an at-rest state (or K0 state), and the horizontal effective
stress is:
h K0v
Where K0=coefficient of earth pressure at rest .
岩土工程研究所
The resultant thrust is equal to the area of the pressure distribution diagram, I.e.
主动土压力 Active earth pressure 被动土压力 Passive earth pressure 静止土压力 Earth pressure at rest
A ctiv e p re s s u re
A t-rest p re s s u re
岩土工程研究所
P a ssive p re s s u re
Soil in state of plastic equilibrium
1 z 3
Pa=rH 2K a/2
H Pa
H /3
Smooth vertical back, horizontal surface
岩土工程研究所
pa=rH Ka
3pazt2(g 45 2)zK a
Ka is coefficient of active earth pressure
Vertical stress is minor principal stress
Surcharge
3 z q
Pp=rH 2K p/2+qH K p
The line of action of Pp passes through
Pa
the area of the trapezia
p1
qKa rH Ka
3 p a (z q )t2 g (4 5 2 ) (z q )K a
h 2p1 p2 H
P
H
3(p1 p2)
h
岩土工程研究所
p2
第二节 朗肯土压力理论
Rankine’s theory
Passive earth pressure in cohesionless soils
A uniform
Surcharge
surcharge load (q) is applied over the whole surface
1 z q 3
Pa=rH 2K a/2+qH K a H
Pa
Pressure distribution
1 z q 3
S u rc h a rg e
qKa rH Ka
The resultant thrust is equal to the area of the pressure distribution diagram, I.e. the area of trapezia
The line of action of Pa
3
H passes through the center of
The wall moves towards the earthfill, Vertical stress is minor principal stress
3 z
P p= rH 2K p/2
1
Pp
H
H百度文库3
Passive earth pressure
rH K p
岩土工程研究所
Kp is coefficient passive earth
pressure
of
1ppzt2(g 45 2)zK p
第二节 朗肯土压力理论
Rankine’s theory
Passive earth pressure in cohesionless soils
The resultant thrust is equal to the area of the pressure distribution diagram
第六章 土压力
Chapter 6 Earth Pressure
岩土工程研究所
第一节 概述 Introduction
土压力概念 What is earth pressure? 土压力种类： Types of earth pressure 静止土压力： Earth pressure at rest