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Lecture 5 - Flexure

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Lecture 5 - Flexure

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    1. Lecture 5 - Flexure June 11, 2003 CVEN 444

    2. Lecture Goals Rectangular Beams Safety factors Loading and Resistance Balanced Beams

    3. Flexural Stress

    4. Flexural Stress

    5. Flexural Stress

    6. Flexural Stress

    7. Flexural Stress

    8. Flexural Stress

    9. Flexural Stress

    10. Flexural Stress –Rectangular Example

    11. Flexural Stress –Rectangular Example

    12. Flexural Stress –Rectangular Example

    13. Flexural Stress –Rectangular Example

    14. Flexural Stress –Rectangular Example

    15. Flexural Stress – Non-Rectangular Example

    16. Flexural Stress – Non-Rectangular Example

    17. Flexural Stress – Non-Rectangular Example

    18. Flexural Stress – Non-Rectangular Example

    19. Flexural Stress – Non-Rectangular Example

    20. Flexural Stress – Non-Rectangular Example

    21. Flexural Stress – Non-Rectangular Example

    22. Safety Provisions

    23. Safety Provisions

    24. Consequences of Failure Potential loss of life. Cost of clearing the debris and replacement of the structure and its contents. Cost to society. Type of failure warning of failure, existence of alternative load paths.

    25. Variability in Loading

    26. Variability in Resistance Variability of the strengths of concrete and reinforcement. Differences between the as-built dimensions and those found in structural drawings. Effects of simplification made in the derivation of the members resistance.

    27. Variability in Resistance

    28. Margin of Safety

    29. Margin of Safety

    30. Loading

    31. Loading

    32. Loading

    33. Loading

    34. Loading

    35. Resistance

    36. Resistance

    37. Three possibilities in Inelastic Behavior Compression Failure - (over-reinforced beam) Tension Failure - (under-reinforced beam) Balanced Failure - (balanced reinforcement)

    38. Inelastic Behavior

    39. Inelastic Behavior

    40. Inelastic Behavior

    41. Inelastic Behavior

    42. Balanced Reinforcement Ratio, rbal

    43. Balanced Reinforcement Ratio, rbal

    44. Nominal Moment Equation

    45. Nominal Moment Equation

    46. Nominal Moment Equation

    47. Strain Limits Method for Analysis

    48. Limitations on Reinforcement Ratio, r

    49. Limitations on Reinforcement Ratio, r

    50. Additional Requirements for Lower Limit on r

    51. Additional Requirements for Lower Limit on r

    52. Example

    53. Example

    54. Example

    55. Example

    56. Example

    57. Example

    58. Example

    59. Example

    60. Example

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