mning Goal: use the superposition principle to find the state -tress on a beam under multiple loadings. beam shown below is subjected to a horizontal ce P via the rope wound around the pulley. The te of stress at point A is to be determined. Part A-Support Reactions and Internal Loading Determine the support reactions C, and C and the internal normal force, shear force, and mome cross-section containing point A. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) ΠΟΠΤΑΣΦΗΜΙ VOC 15994
mning Goal: use the superposition principle to find the state -tress on a beam under multiple loadings. beam shown below is subjected to a horizontal ce P via the rope wound around the pulley. The te of stress at point A is to be determined. Part A-Support Reactions and Internal Loading Determine the support reactions C, and C and the internal normal force, shear force, and mome cross-section containing point A. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) ΠΟΠΤΑΣΦΗΜΙ VOC 15994
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:tate of Stress Caused by Combined Loadings
Learning Goal:
To use the superposition principle to find the state
of stress on a beam under multiple loadings.
The beam shown below is subjected to a horizontal
force P via the rope wound around the pulley. The
state of stress at point A is to be determined.
100 mm
15 mm
20 mm
200 mm
150 mm f
20 mm
The dimensions are di - 2.15 m. d₂ = 0.5 m.
-0.85 m d-285 mm and r= 150 mm
The applied force has magnitude P=4.5 kN
Part A-Support Reactions and Internal Loading
C₁, C₂=₁
N=, V = ₁
M =
Determine the support reactions C, and C, and the internal normal force, shear force, and moment on the
cross-section containing point A.
Express your answers, separated by commas, to three significant figures.
► View Available Hint(s)
Submit
Part B- Properties of the Cross-Section
A= I= Q =
Submit
VAX IT
VOC
JA=.TA=
What are the cross-sectional area, moment of inertia with respect to the neutral axis, and first moment of
the area with respect to point A for the beam?
Express your answers, separated by commas, to three significant figures.
► View Available Hint(s)
Part C- The State of Stress at A
Submit
ΥΠ' ΑΣΦ
1
What are the normal and shear stresses at point A?
Express your answers, separated by a comma, to three significant figures.
► View Available Hint(s)
Vec
ΜΕ ΑΣΦ 11 vec
PAZZ
?
poz
?
?
1 of 3
N, KN, KN,
N, kN-m
m², m¹, m³
MPa, MPa
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