(b) A vertical steel bar ABC is pin supported at its upper end and loaded by a force P₁ at its lower end as shown in figure below. 4₁ L₂ OF с A₂ a b A horizontal beam BDE is pinned to the vertical bar at joint B and supported at point D. The beam carries a load P₂ at end E. The upper part of the vertical bar (segment AB) has length L₁ = 500 mm and cross-sectional area A₁ = 160 mm²; the lower part (segment BC) has length L₂ = 750 mm and area A₂ = 100 mm². The modulus of elasticity E of the steel is 200 GPa. The left and right-hand parts of beam BDE have lengths a = 700 mm and b = 625 mm, respectively. The load P₁ = 10 kN and load P₂ = 25 kN. [Neglect the weight of bar and beam]. (i) Calculate the vertical displacement & at point C. (ii) Where load P₂ should be applied on segment DE if vertical displacement 8 must be equal to 0.25 mm.

(b) A vertical steel bar ABC is pin supported at its upper end and loaded by a force P₁ at its lower end as shown in figure below. 4₁ L₂ OF с A₂ a b A horizontal beam BDE is pinned to the vertical bar at joint B and supported at point D. The beam carries a load P₂ at end E. The upper part of the vertical bar (segment AB) has length L₁ = 500 mm and cross-sectional area A₁ = 160 mm²; the lower part (segment BC) has length L₂ = 750 mm and area A₂ = 100 mm². The modulus of elasticity E of the steel is 200 GPa. The left and right-hand parts of beam BDE have lengths a = 700 mm and b = 625 mm, respectively. The load P₁ = 10 kN and load P₂ = 25 kN. [Neglect the weight of bar and beam]. (i) Calculate the vertical displacement & at point C. (ii) Where load P₂ should be applied on segment DE if vertical displacement 8 must be equal to 0.25 mm.

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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