Consider the set-up shown. It has rocker at A,which resists downward displacement, butallows horizontal and upward displacement.Three forces are applied at B, C and D. Thereis a pin at D, which resists horizontal andvertical displacement but allows rotation. Youcan neglect the weight of the beam. The beamhas a height of 0.2 m and d₁ = 1 m,d₂ = 1 m, d3 = 1.5 m, |F₁|= 200 N,|F2| = 200 N, |F3|= 300 N, 0 = 50°.F₂d₁BF₁0.1md₂CDFromd3a)Draw a Free Body Diagram to represent thisset-up and write down the equations forstatic equilibrium. b)Calculate the horizontal component of thereaction force from the pin at D.c)Calculate the total moment about D,leaving your answer in terms of theunknown force components.d)Use c) and d) to find the reaction force ofthe rocker at A and the vertical componentof the reaction on the beam caused by thepin at D.

Answered: Image /qna-images/answer/c49c1d5f-a239-46b1-aec0-1974010ec50e.jpg

is a pin at D, which resists horizontal and vertical displacement but allows rotation. You can neglect the weight of the beam. The beam has a height of 0.2 m and d₁ = 1 m, d₂ = 1 m, d3 = 1.5 m, |F₁ | = 200 N, |F₂|= 200 N, |F3|= 300 N, 0 = 50°. d₁ B F₂ 0.1m 0 C d₂ d3 D a) Draw a Free Body Diagram to represent this set-up and write down the equations for static equilibrium.

is a pin at D, which resists horizontal and vertical displacement but allows rotation. You can neglect the weight of the beam. The beam has a height of 0.2 m and d₁ = 1 m, d₂ = 1 m, d3 = 1.5 m, |F₁ | = 200 N, |F₂|= 200 N, |F3|= 300 N, 0 = 50°. d₁ B F₂ 0.1m 0 C d₂ d3 D a) Draw a Free Body Diagram to represent this set-up and write down the equations for static equilibrium.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

Consider the set-up shown. It has rocker at A,
which resists downward displacement, but
allows horizontal and upward displacement.
Three forces are applied at B, C and D. There
is a pin at D, which resists horizontal and
vertical displacement but allows rotation. You
can neglect the weight of the beam. The beam
has a height of 0.2 m and d₁ = 1 m,
d₂ = 1 m, d3 = 1.5 m, |F₁|= 200 N,
|F2| = 200 N, |F3|= 300 N, 0 = 50°.
F₂
d₁
B
F₁
0.1m
d₂
C
D
From
d3
a)
Draw a Free Body Diagram to represent this
set-up and write down the equations for
static equilibrium.

b)
Calculate the horizontal component of the
reaction force from the pin at D.
c)
Calculate the total moment about D,
leaving your answer in terms of the
unknown force components.
d)
Use c) and d) to find the reaction force of
the rocker at A and the vertical component
of the reaction on the beam caused by the
pin at D.

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