The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 113 GPa] with a cross-sectional area of A₁ = 600 mm². Bar (2) is an aluminum alloy [E = 77 GPa] with a cross-sectional area of A₂ = 300 mm². A concentrated load of P - 56 kN acts on the structure at D. Assume L₁-800 mm., L₂-580 mm., a-570 mm., b-340 mm., and c=1090 mm. Determine: (a) the normal stresses 0₁, 0₂ in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. a b Answers: (a) σ₁ = (b) VD-i i (1) L₁ L2 2 B C С MPa, 0₂ = mm. i D P MPa

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 113 GPa] with a cross-sectional area of A₁ = 600 mm². Bar (2) is an aluminum alloy [E = 77 GPa] with a cross-sectional area of A₂ = 300 mm². A concentrated load of P - 56 kN acts on the structure at D. Assume L₁-800 mm., L₂-580 mm., a-570 mm., b-340 mm., and c=1090 mm. Determine: (a) the normal stresses 0₁, 0₂ in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. a b Answers: (a) σ₁ = (b) VD-i i (1) L₁ L2 2 B C С MPa, 0₂ = mm. i D P MPa

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 and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.

Question

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 113 GPa] with a cross-sectional
area of A₁ = 600 mm2. Bar (2) is an aluminum alloy [E = 77 GPa] with a cross-sectional area of A2 = 300 mm². A concentrated load of P
= 56 kN acts on the structure at D. Assume L₁-800 mm., L₂-580 mm., a-570 mm., b=340 mm., and c=1090 mm. Determine:
(a) the normal stresses 0₁, 0₂ in both bars (1) and (2).
(b) the downward deflection VD of point D on the rigid bar.
a
5
Answers:
(a) o₁ =
(b) VD=
i
i
e
L₁
L2
A
B
C
C
MPa, 0₂ =
mm.
i
D
P
MPa

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