Refer to the building elevation below with story forces as i

Refer to the building elevation below with story forces as indicated at each level. with lateral elements (indicated with dark lines) are shown to the right. Floor plans FR - 180k F8 400k> F7 345k Plan -7th to Roof FS 250k F4 190k F3 150k F2-80k Plan - Below 7th Using ASCE 7-10, determine the redundancy factor in each direction at each level of the building. For reference, assume North is up on the page.

Solution

The redundancy factor (?) is taken into consideration at the time of assessing the horizontal seismic load effect, E_h, as:

                      E_h = ? Q_E

Where Q_E is defined as the effects of horizontal seismic forces

For Floor 1,

Y direction,

? = 1.0, From MOC-2008 code it has 5 parallel two-bay frames.

E_h = 1.0 x 80 = 80

X direction

? = 1.25 From MOC-2008 code, it has three parallel four-bay frames.

E_h = 1.25 x 80 = 100

For Floor 2,

Y direction,

? = 1.0, From MOC-2008 code it has 5 parallel two-bay frames.

E_h = 1.0 x 150 = 150

X direction

? = 1.25 From MOC-2008 code, it has three parallel four-bay frames.

E_h = 1.25 x 150 = 187.5

For Floor 3,

Y direction,

? = 1.0, From MOC-2008 code it has 5 parallel two-bay frames.

E_h = 1.0 x 190 = 190

X direction

? = 1.25 From MOC-2008 code, it has three parallel four-bay frames.

E_h = 1.25 x 190 = 237.5

For Floor 4,

Y direction,

? = 1.0, From MOC-2008 code it has 5 parallel two-bay frames.

E_h = 1.0 x 250 = 250

X direction

? = 1.25 From MOC-2008 code, it has three parallel four-bay frames.

E_h = 1.25 x 250 = 312.5

For Floor 5,

Y direction,

? = 1.0, From MOC-2008 code it has 5 parallel two-bay frames.

E_h = 1.0 x 300 = 300

X direction

? = 1.25 From MOC-2008 code, it has three parallel four-bay frames.

E_h = 1.25 x 300 = 375

For Floor 6,

Y direction,

? = 1.0, From MOC-2008 code it has 5 parallel two-bay frames.

E_h = 1.0 x 345 = 345

X direction

? = 1.25 From MOC-2008 code, it has three parallel four-bay frames.

E_h = 1.25 x 345 = 431.25

For Floor 7,

Y direction,

? = 1.0, From MOC-2008 code it has 5 parallel two-bay frames.

E_h = 1.0 x 400 = 400

X direction

? = 1.25 From MOC-2008 code, it has three parallel four-bay frames.

E_h = 1.25 x 400 = 500

For Roof,

Y direction,

? = 1.0, From MOC-2008 code it has 4 parallel two-bay frames.

E_h = 1.0 x 180 = 180

X direction

? = 1.25 From MOC-2008 code, it has three parallel three-bay frames.

E_h = 1.25 x 180 = 225

Y _direction

_{X direction}