## Analysis of a Flanged Wooden BeamA flanged wooden shape is used to support a series of loads. The following considerations are made over the entire 16 ft length of the beam. The tasks are to determine:### (a) Calculate the Inertia- **Task**: Determine the moment of inertia for the beam section.### (b) Sketch the Shear and Moment Diagram for the Beam- **Task**: Create diagrams that depict the shear forces and bending moments along the beam.### (c) Maximum Tensile Bending Stress in the Beam- **Task**: Calculate and illustrate the maximum tensile bending stress, with detailed calculations of this stress distribution.### (d) Maximum Compressive Bending Stress in the Beam- **Task**: Calculate and illustrate the maximum compressive bending stress, with detailed calculations of this stress distribution.### (e) Maximum Shear Stress in the Beam- **Task**: Calculate and sketch the shear stress distribution, showing detailed calculations.### Diagram Explanation#### Beam Setup- **Support Configuration**: - A pin support at point A. - A roller support at point D.- **Load Distribution**: - A 1 kip/ft distributed load from A to B (6 ft span). - A concentrated load of 2 kips at point C (3 ft from B). - A concentrated load of 2.2 kips at point E (4 ft from D).#### Cross-Section Diagram- **Dimensions**: - Total height: 12 in. - Widths: - Flange: 8 in at base, 4 in at top. - Thicknesses: - Flange: 1 in. - Web: 1 in.- **Segments**: - (1) Top flange: 4 in width - (2) Web: 10 in height - (3) Bottom flange: 8 in widthThese details are critical for performing structural analysis on the beam to ensure it can safely sustain the applied loads.

A flanged wooden shape is used to support the loads shown. The dimensions of the shape are shown. Consider the entire 16 ft length of the beam, and determine (a) Calculate the inertia (b) Sketch the shear and moment diagram for this beam (c) the maximum tensile bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations) (d) the maximum compressive bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations)) (e) the maximum shear stress in the beam and (sketch the shear stress distribution and show the calculations) 4 in. 1 in. 2 kips 2.2 kips (1) 1 in. 1 kip/ft 7 in. 12 (2) 10 in. 5 in. (3) В E 6 ft 3 ft * 3ft 4 ft 8 in. 1 in.

A flanged wooden shape is used to support the loads shown. The dimensions of the shape are shown. Consider the entire 16 ft length of the beam, and determine (a) Calculate the inertia (b) Sketch the shear and moment diagram for this beam (c) the maximum tensile bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations) (d) the maximum compressive bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations)) (e) the maximum shear stress in the beam and (sketch the shear stress distribution and show the calculations) 4 in. 1 in. 2 kips 2.2 kips (1) 1 in. 1 kip/ft 7 in. 12 (2) 10 in. 5 in. (3) В E 6 ft 3 ft * 3ft 4 ft 8 in. 1 in.

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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