11 13. week rigid pavement2 وضع التوافق1

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١ Prof. Dr. Eng Shafik Jendia Rigid Pavement Lectures of 11., 12. Week 11. Week 16. 11 - 22. 11 . 2013 12. Week 23. 11 - 29. 11 . 2013 13. Week 30.11 06.12. 2013 Prof. DR. Eng. Shafik Jendia Islamic University of Gaza Prof. Dr. Eng Shafik Jendia References Highway Engineering, Structural Design, Shafik Jendia (Arabic Version) AASHTO, Guide for Design of Pavement Structures. Concrete Pavement Design,Construction, and Performance. Norbert Delatte RIGID PAVEMENT DESIGN MANUAL. PUBLISHED BY FLORIDA DEPARTMENT OF TRANSPORTATION PAVEMENT MANAGEMENT OFFICE Concrete Pavement Design, Guidance Notes, Geoffrey Griffiths and Nick Thom

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  • Prof. Dr. Eng Shafik Jendia

    Rigid Pavement

    Lectures of 11., 12. Week11. Week 16. 11 - 22. 11 . 201312. Week 23. 11 - 29. 11 . 201313. Week 30.11 06.12. 2013

    Prof. DR. Eng. Shafik Jendia

    Islamic University of Gaza

    Prof. Dr. Eng Shafik Jendia

    ReferencesHighway Engineering, Structural Design, Shafik Jendia (Arabic Version) AASHTO, Guide for Design of Pavement Structures.

    Concrete Pavement Design,Construction, and Performance. Norbert Delatte

    RIGID PAVEMENT DESIGN MANUAL.PUBLISHED BY FLORIDA DEPARTMENT OF TRANSPORTATION PAVEMENT MANAGEMENT OFFICE

    Concrete Pavement Design, Guidance Notes, Geoffrey Griffiths and Nick Thom

  • Prof. Dr. Eng Shafik Jendia

    Rigid Pavement

    IntroductionAdvantages and disadvantages of rigid pavementStresses of rigid pavement Design and construction of pavement jointsReinforcementDesign of rigid pavementDiscussion

    Prof. Dr. Eng Shafik Jendia

    Introduction

    Rigid Pavements have been used for highways, airports, local roads, parking lots, industrial facilities,

    and other types of infrastructure.When properly designed and built out of durable materials, concrete pavements can provide many decades of service with little or no maintenance.

    Concrete generally has a higher initial cost than asphalt but lasts longer and has lower maintenance costs.

  • Prof. Dr. Eng Shafik Jendia

    IntroductionRigid Pavement or

    Cement Concrete Pavementcan be paved as reinforced or unreinforced slabs

    with certain dimensions. Longitudinal and transverse joints separate the slabs from each

    other .

    Prof. Dr. Eng Shafik Jendia

    IntroductionCement Concrete consists of

    Aggregates, Cement and Water

  • Prof. Dr. Eng Shafik Jendia

    Produce of Rigid (Cement Concrete) Pavement

    Introduction

    Prof. Dr. Eng Shafik Jendia

    Flexible (Asphalt) and

    Rigid (Cement Concrete) Pavements

    Introduction

  • Prof. Dr. Eng Shafik Jendia

    binder

    wearing

    Introduction

    Prof. Dr. Eng Shafik Jendia

    Other Example For Rigid Pavement

    Introduction

  • Prof. Dr. Eng Shafik Jendia

    Rigid Pavement has specific advantageswhen compared with asphalt pavement: It lasts longer due to its rigidity and strength.

    It consists of a system of stiff plates (slabs)connected together to form a continuous, hingedslab system.

    The specific advantage of a rigid pavement isthat the relatively rigid plates apply load over awide area.

    Advantages and disadvantages of rigid pavement

    Prof. Dr. Eng Shafik Jendia

    Advantages and disadvantages of rigid pavement

  • Prof. Dr. Eng Shafik Jendia

    Because of its high skid resistance andbrightness, it is safer than asphalt pavement.Brightness provides the night drivers with bettersight and safety.

    No rutting and no/ or slight deformation.

    The binder (cement) isn't affected by temperature(unlike bitumen).

    Advantages and disadvantages of rigid pavement

    Prof. Dr. Eng Shafik Jendia

    Rigid Pavements have specific disadvantageswhen compared with asphalt pavements:

    Rigid Pavement has a higher initial cost thanasphalt, thus it has been used for airports, heavilyloaded highways, industrial facilities and otherspecial types of infrastructure.

    The Joints between the slabs can be considered asa source for failures.

    It is not preferable to be used in urban roads,because of maintenance difficulties of infrastructurefacilities.

    Advantages and disadvantages of rigid pavement

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid PavementThe concrete slab of the rigid pavement faces different types of stresses caused by repeated traffic load, temperature, moisture etc. which lead to: buckling, expansion, contraction and warping of the slab.Thus the designed slab must have high strength to resist all these effects. This means that the design Engineer should take into consideration in addition to traffic load and weather conditions: type of concrete, dimension of slabs, joints and their construction, the necessity of reinforcement and base type below.

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement

    Wheel Load Stress

    Warping Stress

    Frictional Stress

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load StressCritical Location of Loading

    according Westergard

    Interior Loading Edge Loading Corner Loading

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load StressStresses at Critical Location of Loading modified by

    Westergard, Teller, Sutherland and Kelly.

    Interior Loading

    Edge Loading

    Corner Loading

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

    Where:

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

    Example 1: Calculate

    the stresses caused by a vehicle

    wheel (P) at all critical

    locations of a cement concrete

    pavement.

    Given:

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

    Example 2: Calculate the

    stresses caused by a vehicle wheel (P) at corners of cement concrete

    slabs with the thicknesses:

    h = 10 cm, 15 cm, 20 cm, 22 cm,

    for the data given in example 1

    Solution

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

    Example 3: Calculate the

    stresses caused by a vehicle wheel

    (P) at edges of cement concrete

    slabs with the thicknesses:

    h = 10 cm, 15 cm, 20 cm, 22 cm,

    for the data given in example 1

    Solution

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

    Example 4: Calculate the

    stresses caused by a vehicle wheel

    (P) interior of cement concrete

    slabs with the thicknesses:

    h = 10 cm, 15 cm, 20 cm, 22 cm,

    for the data given in example 1

    Solution

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load Stress

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load StressRelationship between slab thickness and wheel load

    stresses at the three critical locations

    3

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load StressConclusions

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load StressSlab Deflection W

    here:

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load StressExample 5: Calculate

    the deflections caused by a vehicle

    wheel (P) at all critical

    locations of a cement concrete

    pavement.

    Given:

    = 200 mm

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Wheel Load StressSlab Deflection/ solution

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping StressesSummer Midday

    Temperature Distribution over the slab thickness

    Slab Deformation Summer Midday

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping StressesWinter Midnight

    Temperature Distribution over the slab thickness

    Slab Deformation Winter Midnight

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping StressesExample 6: Calculate

    the warping Stresses at interior and

    edgelocations of a cement concrete

    pavement.

    Given:

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

    Given:

    = 15 cmExample 7: Calculate

    the warping Stresses at interior and

    edgelocations of a cement concrete

    pavement.

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Warping Stresses

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Frictional Stress

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Frictional Stress

  • Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / Frictional Stresses

    Example 8: Calculate the

    frictional stresses if the length of

    cement concrete slabs:

    L= 5 m, 10 m, 20 m,

    Solution

    Compared with other stresses, the frictional stress is relatively low. It affects the edge and interior of the

    slab. It is considered in winter tensile and in summer compressive stress.

    Prof. Dr. Eng Shafik Jendia

    Stresses of Rigid Pavement / CombinationDuring Summer: The critical combinations for interior and edge during mid day exists when the slab tends to warp downward.

    At this moment tensile stresses develop at the bottom fibre which are additive to the tensile stresses due to the loading.

    (total) = (Load) + (warping) - (friction).

    During Winter: The critical combinations for interior and edge exists when the slab contracts and the slab warps downward

    during the midnight. (total) = (Load) + (warping) +(friction).

    Since the t during winter lower than in summer, the combination during summer is the worst in our country

  • Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints

    Although the existing of joints in the rigid pavement can be considered sometimes as a

    reason of distresses in the pavement, their construction in the rigid slab is very

    necessary. Through joints, thermal stresses can be minimized. This means while the joints

    carry stresses induced by expansion, contraction and warping of the slab, the slab resists all stresses caused by wheel loading.

    Prof. Dr. Eng Shafik Jendia

    Design and Construction of Pavement Joints

    Joints can be divided according to their locations into two types:

    Transverse Joints: are perpendicular to the centerline of the roadway (at right angle to the traffic direction) .

    Longitudinal Joints: are parallel to the centerline (the same direction of traffic)

  • Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints

    Joints can be divided according to their functions into three types:

    - Expansion Joints- Contraction Joints- Construction Joints

    Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Expansion Joints

  • Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Expansion Joints

    Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Expansion Joints

  • Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Expansion Joints

    Jointed plain concrete pavement (JPCP) or unreinforced concrete pavement (URC)

    Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Expansion Joints

    Jointed reinforced concrete pavement (JRCP) or jointed reinforced concrete (JRC) pavement

  • Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Expansion Joints

    Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Contraction Joints

  • Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Contraction Joints

    Prof. Dr. Eng Shafik Jendia

    Aggregate interlock joints are formed during construction by sawing

    1/41/3 of the way through the pavement to create a plane of weakness. A

    crack then propagates through the remaining thickness of the pavement as

    the concrete contracts. This crack has a rough surface because it propagates

    around the aggregates through the green cement paste, and as long as

    it remains narrow the joint can transfer load from one slab to another

    through bearing stress of the aggregate particles against each other across

    the crack. Load transfer is compromised if the joint opens too widely or if

    the aggregates wear away. The quality and erosion resistance of the material

    supporting the slab at the joint also affect load transfer.

    Design and construction of pavement joints/ Contraction Joints/ Aggregate interlock

  • Prof. Dr. Eng Shafik Jendia

    Design and construction of pavement joints/ Longitudinal Joints and Construction Joints

    Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

  • Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

    Time

    Tens

    ile S

    tres

    s

    Tem

    pera

    ture

    Relationship between temperature variation of (concrete direct after laying due to hydration and tensile stress) and time

    Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

  • Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

    Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

  • Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

    Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

  • Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

    Prof. Dr. Eng Shafik Jendia

    Reinforcement of Rigid Pavement

  • Prof. Dr. Eng Shafik Jendia

    Design of rigid pavement

    Prof. Dr. Eng Shafik Jendia

    Design of rigid pavementModulus of Subgrade Reaction

  • Prof. Dr. Eng Shafik Jendia

    Design of rigid pavementPCC Elastic Modulus

    Prof. Dr. Eng Shafik Jendia

    Design of rigid pavementPCC Modulus of Rupture

  • Prof. Dr. Eng Shafik Jendia

    Design of rigid pavementPCC Modulus of Rupture SC or (fT)

    fT

    fC

    fT = 0.79 (fC ) 0.5

    Third Point Loading

    Prof. Dr. Eng Shafik Jendia

    Design of rigid pavementLoad Transfer coefficient J

  • Prof. Dr. Eng Shafik Jendia

    Design of rigid pavementLoad Transfer coefficient J

    .

    Prof. Dr. Eng Shafik Jendia

    Design of rigid pavementDrainage Coefficient Cd

    .

  • Prof. Dr. Eng Shafik Jendia

    Design of rigid pavement

    Example

    Prof. Dr. Eng Shafik Jendia

    Design of rigid pavement

  • Prof. Dr. Eng Shafik Jendia

    Design of rigid pavement

    Prof. Dr. Eng Shafik Jendia

    Design of rigid pavement / Example

  • Prof. Dr. Eng Shafik Jendia

    Design of rigid pavement / Example

    Prof. Dr. Eng Shafik Jendia

  • Prof. Dr. Eng Shafik Jendia

    Prof. Dr. Eng Shafik Jendia