The overhang beam is supported by a pin at point A and a roller at point B. A distributed load is applied to the beam. Take the origin for all functions to be at A., i.e. start at the left and go right. Must use positive sign convention for V and M.
The overhang beam is supported by a pin at point A and a roller at point B. A distributed load is applied to the beam. Take the origin for all functions to be at A., i.e. start at the left and go right. Must use positive sign convention for V and M.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.4.6P: A beam with a sliding support at B is loaded by a uniformly distributed load with intensity q. Use...
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Answer the questions that I didn’t answer
Transcribed Image Text:c. For the interval 0 ≤ x ≤ 4 m, determine the equation
for the Shear Force as a function of x, V(x).
d. For the interval 4 ≤ x ≤ 8 m, determine the equation
for the Shear Force as a function of x, V(x).
e. Determine the magnitude of the max shear force on
the beam, Vmax.
f. Determine the Q at the point of max shear stress.
g. Determine the moment of inertia, I.
h. Determine the magnitude of the max shear stress on
the beam, Tmax*
Round your final answers to 3 significant digits/figures.
Ay
KN
By
KN
Segment AB (0 m < x < 4 m)
V(x) =
Vmax
0
Segment BC (4 m < x < 8 m)
V(x) =
I =
360
Tmax=
KN
08
m³ 3
KN
4
m²
KN
MPa
Transcribed Image Text:The overhang beam is supported by a pin at point A and a
roller at point B. A distributed load is applied to the beam.
Take the origin for all functions to be at A., i.e. start at the
left and go right. Must use positive sign convention for V and
M.
d₁
W1
<
B
Q
Values for the figure are given in the following table. Note
the figure may not be to scale.
Dimensions for the whole beam
Variable Value
d₁
d₂
d3
45
W1
4 m
4 m
45 mm
100 mm
kN
m
||-- 03--|
d4
a.
Determine the magnitude of the vertical support
reaction at pin A, Ay.
b. Determine the magnitude of the vertical support
reaction at roller B, By.
c.
For the interval 0 ≤ x ≤ 4 m, determine the equation
for the Shear Force as a function of x, V(x).
d. For the interval 4 ≤ x ≤ 8 m, determine the equation
for the Shear Force as a function of x, V(x).
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