Part 1 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 = 7 kips/ft and M = 250 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. A Answers: Calculate the reaction forces Ay and C, 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.) Ay = Cy= Part 2 Answers: (a) V= (c) V= i (b) V- i (d) V= Part 3 (e) V- 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) (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 Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. i (a) M= i (c) M= (b) M- i (d) M= Part 4 i Answers: M Mmax, pos Mmax, neg B M B i b i 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 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 C kips kips D kips-ft D kips-ft 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 kips-ft kips-ft Xmax, pos kips-ft Xmax, neg ft ft
Part 1 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 = 7 kips/ft and M = 250 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. A Answers: Calculate the reaction forces Ay and C, 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.) Ay = Cy= Part 2 Answers: (a) V= (c) V= i (b) V- i (d) V= Part 3 (e) V- 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) (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 Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. i (a) M= i (c) M= (b) M- i (d) M= Part 4 i Answers: M Mmax, pos Mmax, neg B M B i b i 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 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 C kips kips D kips-ft D kips-ft 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 kips-ft kips-ft Xmax, pos kips-ft Xmax, neg ft ft
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
Related questions
Question
Transcribed Image Text:Part 1
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 = 7 kips/ft and M = 250 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.
A
Answers:
Ay =
Calculate the reaction forces Ay and C, 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.)
Cy=
Part 2
Answers:
(a) V=
(c) V=
(b) V- i
i
(e) V-
(d) V- i
Part 3
(a) M-
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)
(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
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
(b) M- i
(d) M=
Part 4
(c) M= i
Answers:
a
i
Mmax, pos
M
Mmax, neg
B
M
i
B
b
kips
kips
C
C,
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
Note that x-O at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
kips
kips
kips
kips
C
kips
D
kips-ft
kips-ft
D
kips-ft
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
kips-ft Xmax, pos
kips-ft Xmax, neg
ft
ft
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