A The beam shown is supported by a roller at A and a pin at B. The support reactions for the beam are Ay - 1000 lb and By = 2500 lb ↑. On your paper: A. Write the equations of the shear (V) and moment (M) as a function of x for the beam. Include complete, clearly labeled free-body diagrams to support your work. B. Sketch the original beam on your paper. C. Graph the shear and moment diagrams for the entire beam under the sketch of the original beam. Be sure to label all key points on your diagrams. Enter the maximum magnitude moment from your diagram in the blank below. 0000 16 in.- 25 lb/in. B 24 in. 500 lb

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.75P
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1
A
The beam shown is supported by a roller at A and a pin at B. The support reactions for the beam are Ay - 1000 lb and By = 2500 lb †.
On your paper:
A. Write the equations of the shear (V) and moment (M) as a function of x for the beam. Include complete, clearly labeled free-body diagrams to
support your work.
B. Sketch the original beam on your paper.
C. Graph the shear and moment diagrams for the entire beam under the sketch of the original beam. Be sure to label all key points on your diagrams.
Enter the maximum magnitude moment from your diagram in the blank below.
0000
16 in.-
25 lb/in.
B
24 in.-
500 lb
C
Transcribed Image Text:A The beam shown is supported by a roller at A and a pin at B. The support reactions for the beam are Ay - 1000 lb and By = 2500 lb †. On your paper: A. Write the equations of the shear (V) and moment (M) as a function of x for the beam. Include complete, clearly labeled free-body diagrams to support your work. B. Sketch the original beam on your paper. C. Graph the shear and moment diagrams for the entire beam under the sketch of the original beam. Be sure to label all key points on your diagrams. Enter the maximum magnitude moment from your diagram in the blank below. 0000 16 in.- 25 lb/in. B 24 in.- 500 lb C
I
X-
Y
Fmax
F = M N
tan$ = μ
= μ N
= i + Ad2
Σ.ΑΧ
ΣΑ
Σ. Αν
Av
ΣΑ
=
Rectangular Area
Triangular Area
Semicircular
Area
FIGURE
V
Τ
Yo
c
-a
b
ΤΟ
C h
-
Τ
--X
CENTROID
18
||
GI
ϋπ !
a+b
3
||
AREA MOMENTS
OF INERTIA
In = bht
bha
in =
i = (ba + ha)
-
Iz
i.
||
||
bha
ᏏᏂ
Izy = bit
In = Iy = ==
Iz = (= - 8) r
I = =
Transcribed Image Text:I X- Y Fmax F = M N tan$ = μ = μ N = i + Ad2 Σ.ΑΧ ΣΑ Σ. Αν Av ΣΑ = Rectangular Area Triangular Area Semicircular Area FIGURE V Τ Yo c -a b ΤΟ C h - Τ --X CENTROID 18 || GI ϋπ ! a+b 3 || AREA MOMENTS OF INERTIA In = bht bha in = i = (ba + ha) - Iz i. || || bha ᏏᏂ Izy = bit In = Iy = == Iz = (= - 8) r I = =
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