Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3 ft, b=9 ft, c=3ft and w=3 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questionsin the subsequent parts of this GO exercise.aa*Answers: Ay =Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of thered arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.)BtbPWbWC-C₂сkips, Cy=pD-Xkips.

Answered: Image /qna-images/answer/4b77348a-13b7-4ae4-b4c7-3981bbbfe61a.jpg

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3 ft, b-9 ft. c=3 ft and w=3 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a f a B Answers: Ay = Calculate the reaction forces Ay and Cy 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 Ax = 0, it has been omitted from the free-body diagram.) B b i W b W C C₁ D C kips, Cy= i -X kips.

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3 ft, b-9 ft. c=3 ft and w=3 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a f a B Answers: Ay = Calculate the reaction forces Ay and Cy 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 Ax = 0, it has been omitted from the free-body diagram.) B b i W b W C C₁ D C kips, Cy= i -X kips.

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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Concept explainers

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

Question

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3 ft, b=9 ft, c=3
ft and w=3 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions
in the subsequent parts of this GO exercise.
a
a
*
Answers: Ay =
Calculate the reaction forces Ay and Cy 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 Ax = 0, it has been omitted from the free-body diagram.)
B
t
b
P
W
b
W
C-
C₂
с
kips, Cy=
p
D
-X
kips.

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Follow-up Questions

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Follow-up Question

Determine the shear force acting at each of the following locations:
(a) x = 0+ ft (i.e., just to the right of support A)
(b)x= 3 ft
(c) x = 12-ft (i.e., just to the left of support C)
(d) x = 12+ ft (i.e., just to the right of support C)
When entering your answers, use the shear force sign convention.
Answers:
(a) V =
(b) V =
i
i
(c)
V =
i
(d) V = i
kips.
kips.
kips.
kips.

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The beam cross-section shown in the Figure Q6 is subjected to a resultant internal vertical shear force V = 80000 N and moment M = 7000 N*m. For all numerical answers, answer to within 3 decimal places. Note that adatpive marking has been used to consider the method mark. 12 mm 60 mm † 12 mm 80 mm 20 mm y 20 mm Figure Q6: A cross-section of I-beam with given dimensions and resultant vertical shear force V and moment M (a) Determine the overall 2nd moment of area I, of the cross-section with regard to the neutral axis.
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When a beam section is subjected to a shear load, a shear stress distribution is developed on the section. The distribution of the shear stress is not linear. Elasticity theory can be used to calculate the shear stress at any point. However, a simpler method can be used to calculate the average shear stress across the width of the section, a distance y above or below the neutral axis. The average VQ shear stress is given by T = Here V is the shear It force on the section, I is the moment of inertia of the entire section about the neutral axis, and t is the width of the section at the distance y where the shear stress is being calculated. Q is the product of the area of the section above (or below) y and the distance from the neutral axis to the centroid of that area (Figure 1). In short, Q is the moment of the area about the neutral axis. I Figure 1 of 1 An I-beam has a flange width b = 250 mm, height h = 250 mm, web thickness tw = 9 mm, and flange thickness tf = 14 mm. Use the…