The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 15°C. After the temperature has been increased to 130°C, determine: A. the normal stresses in the three rods: al MPa, !! OCA = MPa and obr = MPа B. the force exerted on the rigid supports. RA kN %3D Cast Iron Aluminum (2) Broaze (1) (3) Aluminum (1) L, = 450 mm A = 1000 mm2 E, = 70 GPa a, = 22.5 x 10-6/°C Cast Iron (2) L, = 225 mm A 2500 mm2 E, = 155 GPa a = 13.5 x 10-6/°C Bronze (3) L, = 300 mm A3 900 mm? E 100 GPa az = 17.0 x 10-6/°C
The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 15°C. After the temperature has been increased to 130°C, determine: A. the normal stresses in the three rods: al MPa, !! OCA = MPa and obr = MPа B. the force exerted on the rigid supports. RA kN %3D Cast Iron Aluminum (2) Broaze (1) (3) Aluminum (1) L, = 450 mm A = 1000 mm2 E, = 70 GPa a, = 22.5 x 10-6/°C Cast Iron (2) L, = 225 mm A 2500 mm2 E, = 155 GPa a = 13.5 x 10-6/°C Bronze (3) L, = 300 mm A3 900 mm? E 100 GPa az = 17.0 x 10-6/°C
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 15°C. After the temperature has been increased to 130°C, determine:
Transcribed Image Text:The rods of different materials are connected and placed between rigid
supports at A and D, as shown in the figure. Properties for each of the
three rods are given below. The bars are initially unstressed when the
structure is assembled at 15°C. After the temperature has been increased
to 130°C, determine:
A. the normal stresses in the three rods: al
MРа,
OCA =
MPa and obr
MPa
%3D
B. the force exerted on the rigid supports. RA
kN
%3D
Cast Iron
Aluminum
(2)
Bronze
(1)
(3)
Aluminum (1)
L, = 450 mm
A = 1000 mm2
E, = 70 GPa
a, = 22.5 x 10-6/°C
Cast Iron (2)
L, = 225 mm
A 2500 mm2
E, = 155 GPa
a, = 13.5 x 10-6/°C
Bronze (3)
L, = 300 mm
A3 900 mm?
E 100 GPa
az = 17.0 x 10-6/°C
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