Rigid bar AB is pinned at A and supported by two aluminum rods. Both rods are solid and circular in cross-section with a 1 inch diameter, and have a modulus E = 10x10° psi. Assume that rods CD and EF are stress free when the structure is in the vertical position and no external load is applied. Determine the following: a) The force in each rod after a 2 kip force is applied as shown. b) Repeat for the case where rods CD and EF are switched (i.e. the 2 ft rod is on top and the 1 ft rod is on the bottom). Compare the results for the two cases and comment. Required: Your first step must be to draw a FBD of bar AB. Note that there will be a horizontal reaction force at support A, and thus the forces cannot be determined from consideration of static equilibrium alone. B 1ft F F1 ft 1 ft 2 kip 1 ft 2 ft 1 ft

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
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Specifically a mechanics of materials/statically indeterminate problem. Question in pic below

Rigid bar AB is pinned at A and supported by two aluminum rods. Both rods are
solid and circular in cross-section with a 1 inch diameter, and have a modulus E = 10x10° psi.
Assume that rods CD and EF are stress free when the structure is in the vertical position and no
external load is applied. Determine the following:
a) The force in each rod after a 2 kip force is applied as shown.
b) Repeat for the case where rods CD and EF are switched (i.e. the 2 ft rod is on top and the 1 ft
rod is on the bottom). Compare the results for the two cases and comment.
Required: Your first step must be to draw a FBD of bar AB. Note that there will be a horizontal
reaction force at support A, and thus the forces cannot be determined from consideration of static
equilibrium alone.
B
1ft
F
F1 ft
1 ft
2 kip
1 ft
2 ft
1 ft
Transcribed Image Text:Rigid bar AB is pinned at A and supported by two aluminum rods. Both rods are solid and circular in cross-section with a 1 inch diameter, and have a modulus E = 10x10° psi. Assume that rods CD and EF are stress free when the structure is in the vertical position and no external load is applied. Determine the following: a) The force in each rod after a 2 kip force is applied as shown. b) Repeat for the case where rods CD and EF are switched (i.e. the 2 ft rod is on top and the 1 ft rod is on the bottom). Compare the results for the two cases and comment. Required: Your first step must be to draw a FBD of bar AB. Note that there will be a horizontal reaction force at support A, and thus the forces cannot be determined from consideration of static equilibrium alone. B 1ft F F1 ft 1 ft 2 kip 1 ft 2 ft 1 ft
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