(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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28f40a31-6071-45a8-9f9b-74465d91bc75%2Fab7c62e0-6dfa-4b28-a064-c8e6b81e309a%2F63h0a08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(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.
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