From the given figure; E = 200 Gpa, l = 60x10^6 mm^4 Let P = 30 2.8 P kNm 2 m P KN B 2 m C 3 m D a. Determine the deflection at point D in mm. Use Conjugate Beam Method. [Select] b. Determine the slope at point D in radian. Use Conjugate Beam Method. [Select]

From the given figure; E = 200 Gpa, l = 60x10^6 mm^4 Let P = 30 2.8 P kNm 2 m P KN B 2 m C 3 m D a. Determine the deflection at point D in mm. Use Conjugate Beam Method. [Select] b. Determine the slope at point D in radian. Use Conjugate Beam Method. [Select]

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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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.

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Learning Goal: An object's moment of inertia is calculated analytically via integration, which involves dividing the object's area into the elemental strips that are parallel to the axes and then performing the integration of the strip's moment of inertia. In practice, engineers often encounter structural members that have areas composed of the common geometric shapes, such as rectangles, triangles, and circles, whose areas, centroidal locations, and moments of inertia about their centroidal axes are either known or can be calculated easily. Determining the moment of inertia of a composite area with respect to any axis is based on the following definitions: I₂ = fy² dA Iy = √x² dA For a composite area consisting of a finite number of components, the integration is replaced by summation and the general equation simplifies to 771 m A composite area consisting of the rectangle, semicircle, and a triangular cutout is shown (Figure 1). Calculate the moment of inertia of the triangle with…