Answered: SITUATION: An inclined steel beam is…

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter6: Vertical Stress Increase In Soil

Section: Chapter Questions

Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...

See similar textbooks

Related questions

Question

Solve for max deflection of the beam

$### Inclined Steel Beam Deflection Analysis #### Situation: An inclined steel beam is provided below with load $ W = 1.5 \sin\left(\frac{1}{2} x - \pi\right) + 3 $ kN/m. Determine the maximum deflection of the beam. #### Beam Configuration: - The beam is inclined and supported at both ends. - A point load ($ W $) is applied to the beam. - The left support is a simple support reacting only to vertical loads. - The right support is a roller support, allowing vertical displacement but not horizontal movement. #### Beam Dimensions: - The beam spans a total length of 8 meters. - Distance from left support to the applied load is 6 meters. - Distance from right support to the applied load is 2 meters. - Vertical distance from the highest point of the beam to the support at the right end is 2.1 meters. - Vertical distance from the lowest point of the beam to the support at the left end is 0.7 meters. #### Load Distribution: - $ W = 1.5 \sin\left(\frac{1}{2} x - \pi\right) + 3 $ kN/m #### Detail of the Cross-Section of the Beam: The cross-section of the beam is provided around the coordinate points given by: - $ y = \ln(x-2) + 3 $ - $ y = e^{(x-3)} $ All units are in decimeters on the cross-section graph. #### Graph Explanation: 1. **Beam Schematic**: - Displays an inclined beam with specified dimensions. - Shows the loading condition and support types. - Notable dimensions marked include the lengths (6 m and 2 m spans), and heights (0.7 m and 2.1 m). 2. **Cross-Section Detail**: - Description of the beam's cross-section profile with coordinates: - $ y = \ln(x - 2) + 3 $ - $ y = e^{(x - 3)} $ - Emphasizes that all measurements are provided in decimeters. #### Analysis Objective: Determine the maximum deflection of the inclined beam under the given load. This involves understanding the load distribution, beam properties, and the support conditions. Applying principles such as superposition, beam deflection formulas, and$

Transcribed Image Text:### Inclined Steel Beam Deflection Analysis #### Situation: An inclined steel beam is provided below with load $ W = 1.5 \sin\left(\frac{1}{2} x - \pi\right) + 3 $ kN/m. Determine the maximum deflection of the beam. #### Beam Configuration: - The beam is inclined and supported at both ends. - A point load ($ W $) is applied to the beam. - The left support is a simple support reacting only to vertical loads. - The right support is a roller support, allowing vertical displacement but not horizontal movement. #### Beam Dimensions: - The beam spans a total length of 8 meters. - Distance from left support to the applied load is 6 meters. - Distance from right support to the applied load is 2 meters. - Vertical distance from the highest point of the beam to the support at the right end is 2.1 meters. - Vertical distance from the lowest point of the beam to the support at the left end is 0.7 meters. #### Load Distribution: - $ W = 1.5 \sin\left(\frac{1}{2} x - \pi\right) + 3 $ kN/m #### Detail of the Cross-Section of the Beam: The cross-section of the beam is provided around the coordinate points given by: - $ y = \ln(x-2) + 3 $ - $ y = e^{(x-3)} $ All units are in decimeters on the cross-section graph. #### Graph Explanation: 1. **Beam Schematic**: - Displays an inclined beam with specified dimensions. - Shows the loading condition and support types. - Notable dimensions marked include the lengths (6 m and 2 m spans), and heights (0.7 m and 2.1 m). 2. **Cross-Section Detail**: - Description of the beam's cross-section profile with coordinates: - $ y = \ln(x - 2) + 3 $ - $ y = e^{(x - 3)} $ - Emphasizes that all measurements are provided in decimeters. #### Analysis Objective: Determine the maximum deflection of the inclined beam under the given load. This involves understanding the load distribution, beam properties, and the support conditions. Applying principles such as superposition, beam deflection formulas, and

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 11 steps with 20 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions