Use discontinuity functions to develop the load function w(x) for the beam shown. Include the beam reactions in this expression. Integrate w(x) twice to determine V(x) and M(x), and use these functions to plot the shear-force and bending-moment diagrams on paper. Use these plots to answer the questions in the subsequent parts of this GO exercise. Let a = 2.75 m, b- 4.00 m, c=1.75 m, WB = 20 kN/m and wc = 55 kN/m. WC WR B Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since A,= 0, it has been omitted from the free-body diagram.) A B |Dy Incorrect Use your shear-force equation V(x) to find the location where V= 0 between points B and C. Alternatively, note that the shear force at B in this case is known from Part 3. Recall that the change in the shear force between any two locations is equal to the area under the distributed-load curve between those same two points. Refer to Table 7.1, Rule 2. Note that this distributed load acts downward. The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location xBC (measured from support A) where V - 0. Answer: XBC - i ! m Incorrect The maximum bending moment in the beam between the two simple supports occurs at the location xBC calculated in Part 4 where V= 0. Your bending-moment equation M(x) can be used to find the bending moment at any location along the beam. Determine the maximum bending moment in the beam between the two simple supports. Answer: M = i kN-m
Use discontinuity functions to develop the load function w(x) for the beam shown. Include the beam reactions in this expression. Integrate w(x) twice to determine V(x) and M(x), and use these functions to plot the shear-force and bending-moment diagrams on paper. Use these plots to answer the questions in the subsequent parts of this GO exercise. Let a = 2.75 m, b- 4.00 m, c=1.75 m, WB = 20 kN/m and wc = 55 kN/m. WC WR B Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since A,= 0, it has been omitted from the free-body diagram.) A B |Dy Incorrect Use your shear-force equation V(x) to find the location where V= 0 between points B and C. Alternatively, note that the shear force at B in this case is known from Part 3. Recall that the change in the shear force between any two locations is equal to the area under the distributed-load curve between those same two points. Refer to Table 7.1, Rule 2. Note that this distributed load acts downward. The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location xBC (measured from support A) where V - 0. Answer: XBC - i ! m Incorrect The maximum bending moment in the beam between the two simple supports occurs at the location xBC calculated in Part 4 where V= 0. Your bending-moment equation M(x) can be used to find the bending moment at any location along the beam. Determine the maximum bending moment in the beam between the two simple supports. Answer: M = i kN-m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Use discontinuity functions to develop the load function w(x) for the beam shown. Include the beam reactions in this expression.
Integrate w(x) twice to determine V(x) and M(x), and use these functions to plot the shear-force and bending-moment diagrams on
paper. Use these plots to answer the questions in the subsequent parts of this GO exercise. Let a = 2.75 m, b = 4.00 m, c=1.75 m,
Wg = 20 kN/m and wc = 55 kN/m.
WC
WR
b
Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the
red arrows shown on the free-body diagram below. (Note: Since A, = 0, it has been omitted from the free-body diagram.)
WC
y
A
B
C
A D
|Dy
Incorrect
Use your shear-force equation V(x) to find the location where V= 0 between points B and C. Alternatively, note that the
shear force at B in this case is known from Part 3. Recall that the change in the shear force between any two locations is
equal to the area under the distributed-load curve between those same two points. Refer to Table 7.1, Rule 2. Note that
this distributed load acts downward.
The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location xBC (measured from support A)
where V = 0.
Answer: XBC = i
Incorrect
The maximum bending moment in the beam between the two simple supports occurs at the location XBC calculated in
Part 4 where V= 0. Your bending-moment equation M(x) can be used to find the bending moment at any location along
the beam.
Determine the maximum bending moment in the beam between the two simple supports.
Answer: M =
i
! kN-m
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning