Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-3.5 m, b=2.0 m, Pg = 2 kN, Pc = 2 kN, and Mg = 20 kN-m. 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. PB Pc MB C b Calculate the reaction forces Ay and MA 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.) PB Pc MA Mg B |C A b kN-m. Answers: Ay = i kN, MA = i

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Section: Chapter Questions
Problem 1.1MA
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PART 1

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, PB = 2 kN, PC = 2 kN, and MB = 20 kN-m. 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.

 

IMAGE*

 

Calculate the reaction forces Ay and MA 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.)

 

IMAGE*

 

PART 2

Determine the shear force acting at each of the following locations:

(a) x = 0+ m (i.e., just to the right of fixed support A)
(b) x = 3.5– m (i.e., just to the left of B)
(c) x = 3.5+ m (i.e., just to the right of B)
(d) x = 5.5– m (i.e., just to the left of C)

When entering your answers, use the shear force sign convention.

Answer:

(a) V =  ?  kN.
(b) V =  ?  kN.
(c) V =  ?  kN.
(d) V =  ?  kN.


PART 3

Determine the bending moment acting at each of the following locations:

(a) x = 0+ m (i.e., just to the right of fixed support A)
(b) x = 3.5– m (i.e., just to the left of B)
(c) x = 3.5+ m (i.e., just to the right of B)
(d) x = 5.5 m

When entering your answers, use the bending moment sign convention.

Answers:

(a) M =  ?   kN-m.
(b) M =  ?   kN-m.
(c) M =  ?   kN-m.
(d) M =  ?   kN-m.
 
NOTE:
 
USE IMAGE AS REFERENCE
 
BOX THE FINAL ANSWER
 
 
 
 
 
 
Part 1
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m,
Pg = 2 kN, Pc = 2 kN, and Mg = 20 kN-m. 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.
PB
Pc
MB
b
Calculate the reaction forces Ay and MA 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.)
PB
Pc
MA
MB
B
C
b
Ay
kN, MA =
i
kN-m.
Answers: Ay = i
Transcribed Image Text:Part 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, Pg = 2 kN, Pc = 2 kN, and Mg = 20 kN-m. 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. PB Pc MB b Calculate the reaction forces Ay and MA 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.) PB Pc MA MB B C b Ay kN, MA = i kN-m. Answers: Ay = i
Part 2
Determine the shear force acting at each of the following locations:
(a) x = 0+ m (i.e., just to the right of fixed support A)
(b) x = 3.5- m (i.e., just to the left of B)
(c) x = 3.5+ m (i.e., just to the right of B)
(d) x - 5.5- m (i.e., just to the left of C)
When entering your answers, use the shear force sign convention.
Answer:
(a) V =
i
kN.
(b) V - i
kN.
(c) V - i
kN.
(d) V- i
kN.
Part 3
Determine the bending moment acting at each of the following locations:
(a) x = 0+ m (i.e., just to the right of fixed support A)
(b) x = 3.5- m (i.e., just to the left of B)
(c) x = 3.5+ m (i.e., just to the right of B)
(d) x = 5.5 m
When entering your answers, use the bending moment sign convention.
Answers:
(a) M - i
kN-m.
(b) М -
kN-m.
(c) M - i
kN-m.
(d) M =
kN-m.
Transcribed Image Text:Part 2 Determine the shear force acting at each of the following locations: (a) x = 0+ m (i.e., just to the right of fixed support A) (b) x = 3.5- m (i.e., just to the left of B) (c) x = 3.5+ m (i.e., just to the right of B) (d) x - 5.5- m (i.e., just to the left of C) When entering your answers, use the shear force sign convention. Answer: (a) V = i kN. (b) V - i kN. (c) V - i kN. (d) V- i kN. Part 3 Determine the bending moment acting at each of the following locations: (a) x = 0+ m (i.e., just to the right of fixed support A) (b) x = 3.5- m (i.e., just to the left of B) (c) x = 3.5+ m (i.e., just to the right of B) (d) x = 5.5 m When entering your answers, use the bending moment sign convention. Answers: (a) M - i kN-m. (b) М - kN-m. (c) M - i kN-m. (d) M = kN-m.
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