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THEATEAM

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Built in late 1800's by the Rockefeller Family. Filled spandrel sandstone bridge ... Filled arches are known to split. Separation Crack between gutter and wall ... – PowerPoint PPT presentation

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Title: THEATEAM


1
THEA-TEAM
  • Forest Hill Park
  • Cleveland Heights/East Cleveland, Ohio

2
Rockefeller Carriage Bridge
  • Built in late 1800s by the Rockefeller Family
  • Filled spandrel sandstone bridge
  • Spans 130 feet / 16 feet wide
  • Arch span of 30 feet

3
Carriage Bridge Inspection
  • Purpose
  • Identify mechanism
  • Estimate the future condition if left untreated
  • Propose methods to rehabilitate bridge

4
  • Rusted Iron Retaining Bars

5
  • Filled arches are known to split

6
  • Separation Crack between gutter and wall

7
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12
Rehabilitation Recommendations
  • Remove current bridge deck
  • Restore spandrel walls
  • Insert retaining bars
  • Install concrete deck and drainage system
  • Re-point all joints / remove moss and vegetation

13
New Pedestrian Bridge Design
  • Steel Truss Design
  • HSS sections
  • Concrete Deck
  • Wooden Guard Rail
  • 8 feet wide / 120 feet long
  • Vertical clearance across bridge 9.5 feet
  • Vertical clearance under bridge 20 feet

14
New Steel Bridge
15
Designed Loading
  • Designed for 100 lb/ft2 live load
  • Live load applied over entire span
  • Wind load of roughly 6.25 lb/ft
  • Wind load applied over all truss members

16
Displacement
17
Moment Distribution
18
Element Axial Force Distribution
19
Arch Capacity
  • Jacques Heyman
  • Three basic assumptions
  • Masonry has no tensile strength
  • Effectively unlimited compressive strength
  • No slip allowed
  • Plastic Analysis
  • Applies Principle of Virtual Displacements
  • No explicit equation readily available

20
Arch Capacity Model
21
Explicit Equation
  • The explicit equation consists of over a thousand
    characters
  • Finding the location of center of gravity
  • Defined location of plastic hinges (Geometry)
  • Determine direction sines and cosines
  • Determine lengths between points
  • Invoking Principle of Virtual Displacements
  • Derive constraint and restraint equations

22
Explicit Equation
  • Solve 13 virtual displacements (In terms of
    virtual displacement below point load)
  • Virtual displacement
  • Calculate the weight of each Section

23
Explicit Equation
  • Based on assumptions, internal virtual work is
    zero
  • Therefore, external virtual work equals zero
  • Equation can now be applied to an iterative
    program such as MatLab, to find the lower limit
    of the archs capacity
  • First output from MatLab showed lower limit
    occurring at ¼ the length of the arch (Similar to
    Heymans assumption)
  • Equation can also be applied to SAP2000

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