For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=11.5 ft, b=5.0 ft, c= 8.0 ft, w = 3 kips/ft and M = 230 kip-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. Answers: Ay = i b 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.) i (c) x (d) x (e)x= 23.5 ft Answers: (a) V= (b) V= i (c) V= i (d) V= i (e) V= i (b) M= (a) M = i i 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 11.5 ft (i,e., at point B) 16.5-ft (i.e., just to the left of the support C) 16.5+ ft (i.e., just to the right of the support (C) (c) M= i Answers: W (d) M= i Mmax, pos Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. i Mmax, neg a M a B M = i i B b kips kips C C₂ Determine the bending moment acting at each of the following locations: (a) x 11.5-ft (i.e., just to the left of point B) (b) x = 11.5+ ft(i.e., just to the right of point B) (c) x = 16.5 ft (i.e. at point C) (d) x = 23.5 ft kips Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: kips kips C kips kips C kips-ft kips-ft X Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, the maximum negative bending moment, Mmax, neg, and their respective locations, Xmax, pos and Xmax, neg. When entering your answers for the maximum bending moments, use the shear-force and bending-moment sign conventions detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. kips-ft X kips-ft kips-ft Xmax, pos kips-ft Xmax, neg = i ft ft

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

I SENT THE SAME QUESTION SO YOU CAN SEND THE SAME ANSWERS HERE TOO AND I WILL STILL UPVOTE BOTH ONLY IF YOU ANSWER ALL. THANK YOU.

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M
for any location in the beam. (Place the origin at point A.) Let a=11.5 ft, b=5.0 ft, c= 8.0 ft, w = 3 kips/ft and M = 230 kip-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.
Answers:
Ay=
Cy=
b
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.)
"
i
i
(a)
Answers:
(c)
V =
(b) V= i
V=
(e) V=
(d) V= i
(a) M =
(b) M =
(c) M=
(d) M =
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= 11.5 ft (i,e., at point B)
(c) x = 16.5-ft (i.e., just to the left of the support C)
(d) x = 16.5+ ft (i.e., just to the right of the support (C)
(e) x = 23.5 ft
i
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
i
Mmax, pos
Mmax, neg
i
=
W
i
i
a
i
W
i
M
a
i
B
M
B
*
b
kips
Determine the bending moment acting at each of the following locations:
(a) x = 11.5- ft (i.e., just to the left of point B)
(b) x = 11.5+ ft(i.e., just to the right of point B)
(c) x = 16.5 ft (i.e. at point C)
(d) x = 23.5 ft
kips
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
kips
kips
kips
kips
kips
с
kips-ft
с
kips-ft
x
kips-ft
pos,
Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, the
maximum negative bending moment, Mmax, neg, and their respective locations, Xmax, pos
and Xmax, neg.
When entering your answers
for the maximum bending moments, use the shear-force and bending-moment sign conventions detailed in Section 7.2. The
maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative
bending moment as a negative value.
kips-ft
x
kips-ft Xmax, pos
kips-ft Xmax, neg
i
i
ft
Transcribed Image Text:For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=11.5 ft, b=5.0 ft, c= 8.0 ft, w = 3 kips/ft and M = 230 kip-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. Answers: Ay= Cy= b 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.) " i i (a) Answers: (c) V = (b) V= i V= (e) V= (d) V= i (a) M = (b) M = (c) M= (d) M = 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= 11.5 ft (i,e., at point B) (c) x = 16.5-ft (i.e., just to the left of the support C) (d) x = 16.5+ ft (i.e., just to the right of the support (C) (e) x = 23.5 ft i Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: i Mmax, pos Mmax, neg i = W i i a i W i M a i B M B * b kips Determine the bending moment acting at each of the following locations: (a) x = 11.5- ft (i.e., just to the left of point B) (b) x = 11.5+ ft(i.e., just to the right of point B) (c) x = 16.5 ft (i.e. at point C) (d) x = 23.5 ft kips Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: kips kips kips kips kips с kips-ft с kips-ft x kips-ft pos, Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, the maximum negative bending moment, Mmax, neg, and their respective locations, Xmax, pos and Xmax, neg. When entering your answers for the maximum bending moments, use the shear-force and bending-moment sign conventions detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. kips-ft x kips-ft Xmax, pos kips-ft Xmax, neg i i ft
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Knowledge Booster
Introduction to Material Study
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning