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5-2.2-1: Find the deflection at midspan using a W10X45: 10' .5k/ft 10k 5

5-2.2-1: Find the deflection at midspan using a W10X45: 10' .5k/ft 10k 5

Structural Analysis
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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**Topic: Deflection Calculation for a Beam** ### Problem Statement: **5-2.2-1: Find the deflection at midspan using a W10X45:** #### Diagram Explanation: The provided diagram illustrates a simply supported beam with a length of 15 feet. The beam extends from point 'A' on the left to point 'B' on the right. Key features of the diagram include: - A distributed load of 0.5 kips per foot (k/ft) that spans the entire length of the beam. - A concentrated load of 10 kips (k) located at 10 feet from the left end (point 'A'). - The beam section used is a W10X45. Detailed dimensions and loads are marked on the diagram: - The span from point 'A' to the application point of the concentrated load is 10 feet. - The span from the concentrated load to point 'B' is 5 feet. ### Instructions: To determine the deflection at the midspan of the beam (7.5 feet from both ends, considering the total length of 15 feet), use the appropriate structural analysis methods for beams under mixed loading conditions (uniformly distributed load and point load). Ensure to consider the properties of a W10X45 beam section in your calculations. ### Note: - W10X45 refers to a standard wide-flange I-beam used in construction, where '10' stands for the nominal depth (in inches) of the beam, and '45' represents the weight of the beam per foot (in pounds). - Use the beam formulas and material properties (such as Young's Modulus) as required for accurate results. This page is designed to help students and engineers apply theoretical knowledge to practical structural problems in the field of civil engineering and structural analysis.
Transcribed Image Text:**Topic: Deflection Calculation for a Beam** ### Problem Statement: **5-2.2-1: Find the deflection at midspan using a W10X45:** #### Diagram Explanation: The provided diagram illustrates a simply supported beam with a length of 15 feet. The beam extends from point 'A' on the left to point 'B' on the right. Key features of the diagram include: - A distributed load of 0.5 kips per foot (k/ft) that spans the entire length of the beam. - A concentrated load of 10 kips (k) located at 10 feet from the left end (point 'A'). - The beam section used is a W10X45. Detailed dimensions and loads are marked on the diagram: - The span from point 'A' to the application point of the concentrated load is 10 feet. - The span from the concentrated load to point 'B' is 5 feet. ### Instructions: To determine the deflection at the midspan of the beam (7.5 feet from both ends, considering the total length of 15 feet), use the appropriate structural analysis methods for beams under mixed loading conditions (uniformly distributed load and point load). Ensure to consider the properties of a W10X45 beam section in your calculations. ### Note: - W10X45 refers to a standard wide-flange I-beam used in construction, where '10' stands for the nominal depth (in inches) of the beam, and '45' represents the weight of the beam per foot (in pounds). - Use the beam formulas and material properties (such as Young's Modulus) as required for accurate results. This page is designed to help students and engineers apply theoretical knowledge to practical structural problems in the field of civil engineering and structural analysis.
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