+ All Categories
Home > Documents > Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear...

Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear...

Date post: 06-Mar-2018
Category:
Upload: lenga
View: 223 times
Download: 2 times
Share this document with a friend
44
Shear and Diagonal Tension in Beams Chapter 4
Transcript
Page 1: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Shear and Diagonal Tension

in Beams

Chapter 4

Page 2: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Introduction

• Chapter 3 deals with flexure

• Beams must have adequate safety margin

against other types of failure

• They may be more dangerous-more

uncertain and more catastrophic

• Shear failure is one such failure

• It is not fully understood and sudden

without warning

Page 3: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

• Special shear reinforcement are provided to

ensure flexural failure would occur before

shear failure if overloading happens.

Page 4: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

DIAGONAL TENSION

• Shear analysis and design are not really

concerned about shear as such.

• The real concern is DIAGONAL TENSION

Page 5: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

DIAGONAL TENSION: video

Page 6: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Diagonal Tension in

homogeneous beams

Page 7: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Principal Stresses

Page 8: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 9: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

RC BEAMS WITHOUT SHEAR

REINFORCEMENTS

Page 10: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

RC Beams without shear

reinforcements

• No flexural failure unlike plain concrete

beam

• Diagonal tension failure occurs elsewhere

• Caused by shear alone or combined action

of shear and flexure

Page 11: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 12: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Web-shear crack

• when flexure small

•Near neutral axis

•Shear stress equals tensile strength

Page 13: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Flexure shear cracking

• Both moment and shear significant

• Fails at a lower stress due to preexisting

cracks due to flexure

Page 14: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

• The shear at which diagonal cracks develop

depends on the ratio of shear force to

bending moment

• more precisely on the v to f near the top of

flexural crack

Page 15: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 16: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Behaviour of diagonally cracked beam

• Flexural cracks are harmless as longitudinal

steel is present

• If shear reinforcement is not present,

diagonal cracks is critical and determines

the strength

Page 17: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

•Two types of behaviour as diagonal cracks

formed:

• The diagonal cracks spread immediately

from tension face to compression, splitting

it in to two and failing- for shallow beams

(span to depth 8 or more)

• For deeper beams, the crack spreads

partially in to compression zone. Failure

load is significantly higher

Page 18: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Once crack is formed

Dowel V is small and can

cause splitting

Page 19: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Formation of diagonal crack produce

following redistribution of stress

• Shear stress increases on the uncracked area

• Compression force increases

• Tension in steel increases

• Failure occurs in various ways-yielding,

crushing, splitting, pull out

• Relatively deep beam can take significant

load after formation of diagonal crack, but

this reserve strength is erratic and is ignored

Page 20: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

RC BEAM WITH WEB

REINFORCEMENT

Page 21: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Types of web reinforcement

Page 22: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Behaviour of web reinforced concrete beams

Page 23: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Beams with vertical stirrups

Page 24: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 25: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Beams with inclined bars

Page 26: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

ACI CODE PROVISIONS

Page 27: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 28: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Vc

•Conservative where shear-moment ratio is high

Page 29: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 30: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Minimum web reinforcement

Read from book

Page 31: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 32: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 33: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 34: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 35: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 36: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 37: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Design of web reinforcement

Page 38: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 39: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 40: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 41: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Graphically

Page 42: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking
Page 43: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

More rigorous formula

Page 44: Shear and Diagonal Tension in Beamsteacher.buet.ac.bd/tahsin/ce315/chapter4.pdf · •Shear analysis and design are not really concerned about shear as such. ... Flexure shear cracking

Provide stirrups even if not required


Recommended