The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E = 100 GPa; a = 18 x 10-6 mm/mm/ °C). The cross-sectional area of bar (1) is A1 = 184 mm2 and the cross-sectional area of bar (2) is A2 = 380 mm². After load P has been applied and the temperature of the entire assembly has increased by 38°C, the total strain in bar (2) is measured as 1240 µɛ (elongation). Assume L1= 1290 mm, a = 590 mm, b = 820 mm, and L2= 2000 mm. Determine: (a) the magnitude of load P. (b) the vertical displacement of pin A.

The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E = 100 GPa; a = 18 x 10-6 mm/mm/ °C). The cross-sectional area of bar (1) is A1 = 184 mm2 and the cross-sectional area of bar (2) is A2 = 380 mm². After load P has been applied and the temperature of the entire assembly has increased by 38°C, the total strain in bar (2) is measured as 1240 µɛ (elongation). Assume L1= 1290 mm, a = 590 mm, b = 820 mm, and L2= 2000 mm. Determine: (a) the magnitude of load P. (b) the vertical displacement of pin A.

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

Dependence on mechanical properties

The mechanical properties of materials are those structures that include the reaction to the load used. Metal switching features determine the scope of the usefulness of the content and establish the expected service life. Machine structures are also used to help distinguish and identify material objects. The most common mechanical properties considered are strength, ductility, stiffness, impact resistance, and resilience to fractures.

Question

The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E = 100 GPa; a = 18 x 10-6 mm/mm/
°C). The cross-sectional area of bar (1) is A, = 184 mm2 and the cross-sectional area of bar (2) is A2 = 380 mm2. After load P has been
applied and the temperature of the entire assembly has increased by 38°C, the total strain in bar (2) is measured as 1240 µɛ
(elongation). Assume L1 = 1290 mm, a = 590 mm, b = 820 mm, and L2 = 2000 mm. Determine:
(a) the magnitude of load P.
(b) the vertical displacement of pin A.
(2)
L2
|(1)
L1
В
a
Answers:
(a) The magnitude of P =
i
kN.
(b) The vertical displacement of pin A =
i
mm (down).

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