The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7 x 10-6/°C], with a cross-sectional area of A₁ = 400 mm². Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross-sectional area of A₂ = 400 mm². The bars are unstressed when the structure is assembled. After a concentrated load of P = 36 KN is applied and the temperature is increased by 25°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. 350 mm 600 mm 900 mm (1) (2) A B 36 kN 720 mm D

The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7 x 10-6/°C], with a cross-sectional area of A₁ = 400 mm². Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross-sectional area of A₂ = 400 mm². The bars are unstressed when the structure is assembled. After a concentrated load of P = 36 KN is applied and the temperature is increased by 25°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. 350 mm 600 mm 900 mm (1) (2) A B 36 kN 720 mm D

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

Types and properties of steel

Steel is an alloy of iron. It is formed by heating iron and combining carbon (0.1-1.7%) with it and minor amounts of other elements such sulfur, chromium, manganese, nickel, etc. Thousands of steel grades have been published, registered, or regulated around the world, each with its chemical composition, and special numbering systems have been devised in various countries to classify the vast number of alloys.

Question

The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7 x 10-6/°C], with a cross-sectional area of
A₁ = 400 mm². Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross-sectional area of A₂ = 400 mm². The bars are unstressed when the structure
is assembled. After a concentrated load of P = 36 KN is applied and the temperature is increased by 25°C, determine
(a) the normal stresses in bars (1) and (2).
(b) the deflection of point D on the rigid bar.
350 mm
600 mm
900 mm
(1)
(2)
A
B
36 kN
720 mm
D

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