The structure ABECD is loaded with P = 100 lbs and F = 125 lbs. Determine the internal loads (forces and moments) at section E, which is mid‐way between points B and C.

Respuesta :

Answer:

P = 100 lbs in tension

F = 125 lbs in shear force downward direction

Moments are: 50 lb-ft and 125 lb-ft both in counter clockwise direction

Step-by-step explanation:

Forces

If we consider the entire structure as a system with two external forces P and F acting on it.

Translating these forces at point E,

Hence point E experiences the following forces:

P = 100 lbs in tension

F = 125 lbs in shear force

Moments

The bending moments are caused by the forces acting at respective offsets from point E

P = 100 lbs causes a bending moment of Mp = 100 lbs * (6/12) ft = 50 lb-ft

F = 125 lbs causes a bending moment of Mf = 125 lbs*(12/12)ft = 125 lb-ft

Moments are: 50 lb-ft and 125 lb-ft

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