Write shear and moment equations for the entire beam. Draw the shear and moment diagram. Draw the Qualitative Sketch of Deflected Shape. Using Double Intergration find the slope and deflection at point C. Using moment area method find the slope and deflection at point B. The image depicts a beam supported at two points, A and C, with a point load applied at point B.- **Beam Diagram**: - The beam extends from point A to point C. - A point load of 200 kN is applied vertically downward at point B. - The distance from A to B is 3 meters. - The distance from B to C is 9 meters.- **Material and Sectional Properties**: - \( EI \) is constant, indicating uniform material and sectional properties across the beam. - The modulus of elasticity \( E = 70 \, \text{GPa} \). - The moment of inertia \( I = 630 \times 10^6 \, \text{mm}^4 \).This setup is typically used in structural analysis to determine internal forces and moments, as well as deflections of the beam under the given load.

Given data: E = 70 Gpa = 70 × 106 kN/m2 I = 630×106 mm4 = 630×10-6 m4 Find: Shear and moment…

Write shear and moment equations for the entire beam. Draw the shear and moment diagram. Draw the Qualitative Sketch of Deflected Shape. Using Double Intergration find the slope and deflection at point C. Using moment area method find the slope and deflection at point B.

Write shear and moment equations for the entire beam. Draw the shear and moment diagram. Draw the Qualitative Sketch of Deflected Shape. Using Double Intergration find the slope and deflection at point C. Using moment area method find the slope and deflection at point B.

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Write shear and moment equations for the entire beam. Draw the shear and moment diagram. Draw the Qualitative Sketch of Deflected Shape.

Using Double Intergration find the slope and deflection at point C. Using moment area method find the slope and deflection at point B.

The image depicts a beam supported at two points, A and C, with a point load applied at point B.

- **Beam Diagram**:
- The beam extends from point A to point C.
- A point load of 200 kN is applied vertically downward at point B.
- The distance from A to B is 3 meters.
- The distance from B to C is 9 meters.

- **Material and Sectional Properties**:
- \( EI \) is constant, indicating uniform material and sectional properties across the beam.
- The modulus of elasticity \( E = 70 \, \text{GPa} \).
- The moment of inertia \( I = 630 \times 10^6 \, \text{mm}^4 \).

This setup is typically used in structural analysis to determine internal forces and moments, as well as deflections of the beam under the given load.

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