Learning Goal: To use the superposition principle to find the state of stress on a beam under multiple loadings. Cy =, C = , N = , V = , M = N. kN, kN, N, kN-m 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. Submit Part B - Properties of the Cross-Section di 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. 20 mm • View Available Hint(s) 100 mm 200 mm 15 mm - V AEo It vec 20 mm 150 mm -f A =,I =,Q = m2, m*, m³ The dimensions are di = 1.75 m, de = 0.9 m, da = 1.4 m, d4 = 310 mm, andr = 180 mm. The applied force has magnitude P = 4.5 kN. Submit Part C - The State of Stress at A 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) Πνα ΑΣφ vec ? OA =, TA = MPa, MPa Submit
Learning Goal: To use the superposition principle to find the state of stress on a beam under multiple loadings. Cy =, C = , N = , V = , M = N. kN, kN, N, kN-m 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. Submit Part B - Properties of the Cross-Section di 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. 20 mm • View Available Hint(s) 100 mm 200 mm 15 mm - V AEo It vec 20 mm 150 mm -f A =,I =,Q = m2, m*, m³ The dimensions are di = 1.75 m, de = 0.9 m, da = 1.4 m, d4 = 310 mm, andr = 180 mm. The applied force has magnitude P = 4.5 kN. Submit Part C - The State of Stress at A 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) Πνα ΑΣφ vec ? OA =, TA = MPa, MPa Submit
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Learning Goal:
To use the superposition principle to find the state of stress on a beam
under multiple loadings.
Cy = , C, =, N = , V = , M =
N, kN, kN, N, kN-m
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.
Submit
P
Part B - Properties of the Cross-Section
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?
di
Express your answers, separated by commas, to three significant figures.
20 mm
• View Available Hintís)
100 mm
200 mm
ηV ΑΣφ
?
vec
15 mm
20 mm
+ 150 mm ↑
A = ,I = , Q =
m2, m*, m³
The dimensions are di = 1.75 m, da = 0.9 m, dz = 1.4 m,
da = 310 mm, and r = 180 mm. The applied force has
magnitude P = 4.5 kN.
Submit
Part C - The State of Stress at A
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)
ΠΠ ΑΣφ
vec
OA =, TA =
MPa, MPa
Submit

Transcribed Image Text:Learning Goal:
To use the superposition principle to find the state of stress on a beam
under multiple loadings.
PartA - Support Reactions and Internal Loading
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.
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.
P
• View Available Hint(s)
D
It vec
di
dz
Cy = , Ca = , N = ,V = , M =
N, kN, kN, N, kN-m
20 mm
100 mm
200 mm
Submit
15 mm
20 mm
150 mm t
Part B - Properties of the Cross-Section
The dimensions are di = 1.75 m, da = 0.9 m, dg = 1.4 m,
da = 310 mm, and r = 180 mm. The applied force has
magnitude P = 4.5 kN.
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)
vec
A = ,I = , Q =
m2, m1, m3
Submit
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