A rigid beam is subjected to a linearly distributed load and is supported by three bars, as shown in Fig. 4. Bars AB and EF are made of steel and bar CD is made of aluminum. The cross-sectional areas are 1000 mm² for the steel bars and 450 mm² for the aluminum bar. Assuming that all the bars remain elastic, find the range of q to satisfy both the following conditions: The elongation of the aluminum bar should not exceed 5 mm The minimum elongation of the steel bars should be greater than 2 mm. The moduli of elasticity are given as: Est = 200 GPa, Eal = 70 GPa

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
Section: Chapter Questions
Problem 2.2.3P: The L-shaped arm ABCD shown in the figure lies in a vertical plane and pivots about a horizontal pin...
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A rigid beam is subjected to a linearly distributed load and is supported by three bars, as shown in
Fig. 4. Bars AB and EF are made of steel and bar CD is made of aluminum. The cross-sectional
areas are 1000 mm² for the steel bars and 450 mm² for the aluminum bar.
Assuming that all the bars remain elastic, find the range of q to satisfy both the following
conditions:
-
-
The elongation of the aluminum bar should not exceed 5 mm
The minimum elongation of the steel bars should be greater than 2 mm.
The moduli of elasticity are given as: Est = 200 GPa, Eal = 70 GPa
st
E
F
2.0 m
al
C
D
2.0 m
st
B
3.0 m
A
q
Transcribed Image Text:A rigid beam is subjected to a linearly distributed load and is supported by three bars, as shown in Fig. 4. Bars AB and EF are made of steel and bar CD is made of aluminum. The cross-sectional areas are 1000 mm² for the steel bars and 450 mm² for the aluminum bar. Assuming that all the bars remain elastic, find the range of q to satisfy both the following conditions: - - The elongation of the aluminum bar should not exceed 5 mm The minimum elongation of the steel bars should be greater than 2 mm. The moduli of elasticity are given as: Est = 200 GPa, Eal = 70 GPa st E F 2.0 m al C D 2.0 m st B 3.0 m A q
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