The assembly consists of two rods AC and BD attached to the 100-lb uniform rigid beam AB. There is a 300-lb loading applied at a distance x from point A, such that the beam is in a horizontal position after 25 in all loads (weight of beam and 300-lb force) are applied. Before loading the rods have the lengths shown in the figure. Both rods have a square cross- 300 Ib IS in. section with dimensions 0.5 in x 0.5 in. The rods are made of material with a Young's modulus E=32 (10') ksi. a. Draw a FBD of bar AB and write down the force and moment balance for this scenario. Call the forces exerted by the rods FA and Fe. b. State the compatibility condition. C. Find the forces Fa and Fa and find the location x at which the 300-lb load has to be applied such that the rigid bar AB is horizontal.
The assembly consists of two rods AC and BD attached to the 100-lb uniform rigid beam AB. There is a 300-lb loading applied at a distance x from point A, such that the beam is in a horizontal position after 25 in all loads (weight of beam and 300-lb force) are applied. Before loading the rods have the lengths shown in the figure. Both rods have a square cross- 300 Ib IS in. section with dimensions 0.5 in x 0.5 in. The rods are made of material with a Young's modulus E=32 (10') ksi. a. Draw a FBD of bar AB and write down the force and moment balance for this scenario. Call the forces exerted by the rods FA and Fe. b. State the compatibility condition. C. Find the forces Fa and Fa and find the location x at which the 300-lb load has to be applied such that the rigid bar AB is horizontal.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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engineering of materials

Transcribed Image Text:The assembly consists of two rods AC and BD
attached to the 100-lb uniform rigid beam AB. There
d. Find the stresses in rods AC and BD. Use positive and negative values to indicate tensile and
is a 300-lb loading applied at a distance x from point
compressive normal stress.
A, such that the beam is in a horizontal position after
25 in.
all loads (weight of beam and 300-lb force) are
300 lb
applied. Before loading the rods have the lengths
15 in.
shown in the figure. Both rods have a square cross-
section with dimensions 0.5 in x 0.5 in. The rods are
made of material with a Young's modulus E=32 (103)
30 in.
ksi.
a. Draw a FBD of bar AB and write down the force and moment balance for this scenario. Call
the forces exerted by the rods Fa and FB.
e. No explanations required:
If you use a material for the rods that has a higher Young's modulus, how will this affect the
location x? x will be
(i) farther to the right, i.e. closer to B
(ii) farther to the left, i.e. closer to A
(iii) at the same location
If you quadruple the cross-section of rod AC and keep BD the same, how will this affect the
location x? x will be
b. State the compatibility condition.
(i) farther to the right, i.e. closer to B
(ii) farther to the left, i.e. closer to A
(iii) at the same location
C. Find the forces Fa and Fa and find the location x at which the 300-lb load has to be applied
such that the rigid bar AB is horizontal.
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