1. For the beam and loading shown below, a) Draw the shear and bending moment diagrams, b) Determine the maximum absolute values of the shear and bending moment. (Ans: Bx= 0, By = 8 kips ↑, Dy = 2 kips ↑ IVmaxl = 4 kips, IMmax| = 4 kip ft.) %3D 2 kips ft 6 kips A C D 2 ft 2 ft 2 ft

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Statement:**

1. For the beam and loading shown below, 
   a) Draw the shear and bending moment diagrams.
   b) Determine the maximum absolute values of the shear and bending moment.

   *(Answer: \( B_x = 0, \, B_y = 8 \, \text{kips} \, \uparrow, \, D_y = 2 \, \text{kips} \, \uparrow \, |V_{\text{max}}| = 4 \, \text{kips}, \, |M_{\text{max}}| = 4 \, \text{kip ft.} \))*

**Diagram Details:**

- **Beam Configuration:**
  - The beam is horizontally aligned and uniformly loaded with a distributed load and a point load.
  - The distributed load of 2 kips/ft spans from point A to point C over a length of 4 ft.
  - A point load of 6 kips is applied downward at point C.
  - The beam is supported at point B with a roller support and at point D with a pin support.

- **Support and Load Positions:**
  - **Point A:** Start of the beam.
  - **Point B:** Located 2 ft from A, roller support.
  - **Point C:** Located 4 ft from A, where the point load of 6 kips is applied.
  - **Point D:** Located 6 ft from A, end of the beam, pin support.

**Overall Length:**
- The total span of the beam from A to D is 6 ft.

This setup represents a typical beam problem in structural analysis, where one needs to calculate shear and moment reactions to ensure structural stability and integrity.
Transcribed Image Text:**Problem Statement:** 1. For the beam and loading shown below, a) Draw the shear and bending moment diagrams. b) Determine the maximum absolute values of the shear and bending moment. *(Answer: \( B_x = 0, \, B_y = 8 \, \text{kips} \, \uparrow, \, D_y = 2 \, \text{kips} \, \uparrow \, |V_{\text{max}}| = 4 \, \text{kips}, \, |M_{\text{max}}| = 4 \, \text{kip ft.} \))* **Diagram Details:** - **Beam Configuration:** - The beam is horizontally aligned and uniformly loaded with a distributed load and a point load. - The distributed load of 2 kips/ft spans from point A to point C over a length of 4 ft. - A point load of 6 kips is applied downward at point C. - The beam is supported at point B with a roller support and at point D with a pin support. - **Support and Load Positions:** - **Point A:** Start of the beam. - **Point B:** Located 2 ft from A, roller support. - **Point C:** Located 4 ft from A, where the point load of 6 kips is applied. - **Point D:** Located 6 ft from A, end of the beam, pin support. **Overall Length:** - The total span of the beam from A to D is 6 ft. This setup represents a typical beam problem in structural analysis, where one needs to calculate shear and moment reactions to ensure structural stability and integrity.
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