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.

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
icon
Related questions
Question

Need help on c ,d and e

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.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Slope and Deflection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY