A beam is supported by a pin at point A and a roller at point B. Three forces are applied on the beam. There is also an applied moment of 1500 Nm at point C. F₁ d1 Variable F₁ F₂ F3 d₁ d₂ d3 01 0₂ d2 Value 400 N 300 N 900 N 1 m 3 m F₂ 3.5 m 45 degrees 25 degrees B d3 0₂ Values for the figure are given in the following table. Note the figure may not be to scale. F3 M₁ a. Replace the force system with an equivalent force, FR. (enter the magnitude) b. Determine the direction of the resultant force FR, 0 measured counter-clockwise from the negative x-axis in degrees. Answer must be between 0° ≤ 0 ≤ 90° c. Determine the location of the FR on the beam, d, measured from point B (use the absolute value of the answer). d. Does the resultant force FR act to the right or left of point B?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A beam is supported by a pin at point A and a roller at point B.
Three forces are applied on the beam. There is also an applied
moment of 1500 Nm at point C.
F₁
d1
Variable
F₁
F₂
F3
d₁
d₂
d3
01
0₂
Value
400 N
300 N
900 N
1 m
3
d2
m
FR =
F₂
3.5 m
45 degrees
25 degrees
Values for the figure are given in the following table. Note the
figure may not be to scale.
B
d3
0₂
F3
M₁
a. Replace the force system with an equivalent force, FR.
(enter the magnitude)
N
b. Determine the direction of the resultant force FR, 0
measured counter-clockwise from the negative x-axis in
degrees. Answer must be between 0° ≤ 0 ≤ 90°
c. Determine the location of the FR on the beam, d,
measured from point B (use the absolute value of the
answer).
d. Does the resultant force FR act to the right or left of
point B?
Round your final answers to 3 significant digits/figures.
Transcribed Image Text:A beam is supported by a pin at point A and a roller at point B. Three forces are applied on the beam. There is also an applied moment of 1500 Nm at point C. F₁ d1 Variable F₁ F₂ F3 d₁ d₂ d3 01 0₂ Value 400 N 300 N 900 N 1 m 3 d2 m FR = F₂ 3.5 m 45 degrees 25 degrees Values for the figure are given in the following table. Note the figure may not be to scale. B d3 0₂ F3 M₁ a. Replace the force system with an equivalent force, FR. (enter the magnitude) N b. Determine the direction of the resultant force FR, 0 measured counter-clockwise from the negative x-axis in degrees. Answer must be between 0° ≤ 0 ≤ 90° c. Determine the location of the FR on the beam, d, measured from point B (use the absolute value of the answer). d. Does the resultant force FR act to the right or left of point B? Round your final answers to 3 significant digits/figures.
Values for the figure are given in the following table. Note the
figure may not be to scale.
Variable
F₁
F₂
F3
d₁
d₂
d3
0₁
02
a. Replace the force system with an equivalent force, FR.
(enter the magnitude)
Value
b. Determine the direction of the resultant force FR, 0
measured counter-clockwise from the negative x-axis in
degrees. Answer must be between 0° ≤ 0 ≤ 90°
c. Determine the location of the FR on the beam, d,
measured from point B (use the absolute value of the
answer).
FR =
400 N
300 N
900 N
d. Does the resultant force FR act to the right or left of
point B?
0 =
1 m
3 m
3.5 m
45 degrees
25 degrees
Round your final answers to 3 significant digits/figures.
d =
left
right
) N
) degrees
m
Does the resultant force FR act to the right or left of point B?
Transcribed Image Text:Values for the figure are given in the following table. Note the figure may not be to scale. Variable F₁ F₂ F3 d₁ d₂ d3 0₁ 02 a. Replace the force system with an equivalent force, FR. (enter the magnitude) Value b. Determine the direction of the resultant force FR, 0 measured counter-clockwise from the negative x-axis in degrees. Answer must be between 0° ≤ 0 ≤ 90° c. Determine the location of the FR on the beam, d, measured from point B (use the absolute value of the answer). FR = 400 N 300 N 900 N d. Does the resultant force FR act to the right or left of point B? 0 = 1 m 3 m 3.5 m 45 degrees 25 degrees Round your final answers to 3 significant digits/figures. d = left right ) N ) degrees m Does the resultant force FR act to the right or left of point B?
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