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 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 lb 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 Fa.

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Engineering of Materials 

 

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.
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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