A rigid beam is supported by two elastic bars. If the temperature of these elastic bars increases by AT = 30 °C, and a force F is applied as shown, a) Draw the free body diagrams. b) Find the normal stresses in the bars. c) Determine the factors of safety of the bars. GIVEN: a=20 cm, b-30 cm, c=20 cm, (1=50 cm, (-40 cm, F 1 kN, Bar BG: A=10 cm?, E=2x107 N/em?, du=16×106 1/°C, Oall ren =9000 N/cm?, Gall.comp=10000 N/cm? Bar CH: Az-8 cm', Ez-1×107 N/cm, 02=11x10-6 1/°C, Oall ten=7000 N/cm?, Gall.comp.=8000 N/cm2 ten.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
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A rigid beam is supported by two elastic bars.
If the temperature of these elastic bars increases
by AT = 30 °C, and a force F is applied as shown,
a) Draw the free body diagrams.
b) Find the normal stresses in the bars.
c) Determine the factors of safety of the bars.
G
H
GIVEN: a=20 cm, b=30 cm, c=20 cm, (1=50 cm,
E1,
(2=40 cm, F = 1 kN,
E2,
A1
(2
A2
Bar BG: A=10 cm?, E=2x107 N/em?,
O1=16x106 1/°C,
Call ten. =9000 N/cm?, Gall.comp.=10000 N/cm?
Bar CH: A2=8
02=11x10-6 1/°C,
Rigid
A
В
D
cm', E2=1×10 N/cm²,
Oall ten.=7000 N/cm2, Gall.comp.-8000 N/cm2
a
F
Transcribed Image Text:A rigid beam is supported by two elastic bars. If the temperature of these elastic bars increases by AT = 30 °C, and a force F is applied as shown, a) Draw the free body diagrams. b) Find the normal stresses in the bars. c) Determine the factors of safety of the bars. G H GIVEN: a=20 cm, b=30 cm, c=20 cm, (1=50 cm, E1, (2=40 cm, F = 1 kN, E2, A1 (2 A2 Bar BG: A=10 cm?, E=2x107 N/em?, O1=16x106 1/°C, Call ten. =9000 N/cm?, Gall.comp.=10000 N/cm? Bar CH: A2=8 02=11x10-6 1/°C, Rigid A В D cm', E2=1×10 N/cm², Oall ten.=7000 N/cm2, Gall.comp.-8000 N/cm2 a F
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