Answered: Highway curve has R = 1000 ft, I =…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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$**Highway Curve Calculation Example** **Given Data:** - Radius of the curve: $ R = 1000 \, \text{ft} $ - Intersection angle: $ I = 25^\circ 00' $ - Point of Intersection (PI) station: $ 26 + 40.00 \, \text{ft} $ ### Part A: Determining Degree of Curvature ($ D_a $) To find the degree of curvature $ D_a $ of the curve, express your answer in degrees to five decimal places. - Input box available for calculation. - Requires submission for evaluation. - **Purpose:** This section helps calculate the degree of curvature which is essential for understanding the sharpness of a curve. ### Part B: Determining Curve Length ($ L $) and Tangent Distance ($ T $) - **Formula Calculation:** - Curve Length ($ L $): $ 436.33 \, \text{ft} $ - Tangent Distance ($ T $): $ 221.69 \, \text{ft} $ - Provide answers in feet to two decimal places, separated by a comma. - Submission leads to verification as indicated by the correct mark. **Purpose:** These are crucial measurements for highway design, affecting travel distance and alignment. ### Part C: Determining Middle Ordinate ($ M $) and External Distance ($ E $) - **Formula Calculation:** - Middle Ordinate ($ M $): $ 23.7 \, \text{ft} $ - External Distance ($ E $): $ 20.40 \, \text{ft} $ - Input the values as feet to two decimal places, separated by a comma. - Provides an option to submit for accuracy check. **Purpose:** These values are used in the design and evaluation of the curve’s profile, impacting safety and geometry. **Note:** The use of appropriate formulas and calculations ensures precise curve construction, guarding against design flaws that could impact road safety and function.$

Transcribed Image Text:**Highway Curve Calculation Example** **Given Data:** - Radius of the curve: $ R = 1000 \, \text{ft} $ - Intersection angle: $ I = 25^\circ 00' $ - Point of Intersection (PI) station: $ 26 + 40.00 \, \text{ft} $ ### Part A: Determining Degree of Curvature ($ D_a $) To find the degree of curvature $ D_a $ of the curve, express your answer in degrees to five decimal places. - Input box available for calculation. - Requires submission for evaluation. - **Purpose:** This section helps calculate the degree of curvature which is essential for understanding the sharpness of a curve. ### Part B: Determining Curve Length ($ L $) and Tangent Distance ($ T $) - **Formula Calculation:** - Curve Length ($ L $): $ 436.33 \, \text{ft} $ - Tangent Distance ($ T $): $ 221.69 \, \text{ft} $ - Provide answers in feet to two decimal places, separated by a comma. - Submission leads to verification as indicated by the correct mark. **Purpose:** These are crucial measurements for highway design, affecting travel distance and alignment. ### Part C: Determining Middle Ordinate ($ M $) and External Distance ($ E $) - **Formula Calculation:** - Middle Ordinate ($ M $): $ 23.7 \, \text{ft} $ - External Distance ($ E $): $ 20.40 \, \text{ft} $ - Input the values as feet to two decimal places, separated by a comma. - Provides an option to submit for accuracy check. **Purpose:** These values are used in the design and evaluation of the curve’s profile, impacting safety and geometry. **Note:** The use of appropriate formulas and calculations ensures precise curve construction, guarding against design flaws that could impact road safety and function.

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