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...

When

...

static

...

loading

...

is

...

applied

...

in

...

the

...

X

...

direction,

...

net

...

reaction

...

in

...

the

...

Y

...

direction

...

will

...

be

...

zero,

...

though

...

individual

...

reactions

...

may

...

be

...

nonzero,

...

depending

...

on

...

the

...

type

...

of

...

structure.

...

For

...

example,

...

when

...

a

...

single-story

...

frame

...

system

...

with

...

four

...

columns,

...

arranged

...

in

...

a

...

square

...

plan

...

with

...

interconnecting

...

beams

...

at

...

the

...

roof

...

level,

...

is

...

subjected

...

to

...

a

...

horizontal

...

point

...

load

...

in

...

the

...

major

...

direction

...

at

...

the

...

top

...

of

...

one

...

column,

...

torsion

...

will

...

cause

...

horizontal

...

support

...

reactions

...

in

...

the

...

direction

...

orthogonal

...

to

...

loading.

...

Given

...

a

...

dynamic

...

loading

...

condition,

...

net

...

reactions

...

are

...

in

...

equilibrium

...

for

...

both

...

applied

...

loading

...

and

...

inertial

...

forces

...

.

...

When

...

the

...

structural

...

center

...

of

...

stiffness

...

differs

...

from

...

the

...

center

...

of

...

mass

...

,

...

loading

...

in

...

the

...

X

...

direction

...

may

...

generate

...

motion

...

in

...

the

...

Y

...

direction.

...

This

...

motion

...

will

...

correlate

...

with

...

a

...

set

...

of

...

inertial

...

forces

...

and

...

support

...

reactions

...

orthogonal

...

to

...

the

...

direction

...

of

...

loading.

...

Most

...

non-symmetric

...

structures

...

exhibit

...

orthogonal

...

reactions

...

and

...

response

...

quantities

...

when

...

subjected

...

to

...

either

...

static

...

or

...

dynamic

...

loading.

...

This

...

behavior

...

naturally

...

occurs

...

as

...

a

...

structure

...

establishes

...

equilibrium.

...

Design

...

must

...

account

...

for

...

these

...

orthogonal

...

forces,

...

along

...

with

...

all

...

others

...

which

...

result

...

from

...

load

...

application.

...

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Related Incidents and Emails:

  • Incident 31688: Explanation of the effect described in this wiki page.
  • Email Coupling of longitudinal and transverse response in response spectrum analysis: (bm → ok, 2/17/2011, ID 6881762)

See Also