A bridge foundation has a nominal load capacity of 1700kN. If the resistance factor for this foundation is 0.65, what is the ultimate factored load this foundation can carry using the LRFD method

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Answer:

The appropriate answer will be "2353.8 K". A further solution is given below.

Explanation:

The given values are:

Ultimate capacity,

= 1700kN

Resistance factor,

F.S = 0.65

According to the the LRFD, the allowable bearing pressure will be:

⇒ [tex]Pallo w = \phi_c\times \frac{Pn}{F.S}[/tex]

On substituting the values, we get

⇒             [tex]=0.9\times \frac{1700}{0.65}[/tex]

⇒             [tex]=2353.8 \ K[/tex]

According to the the ASD, the allowable bearing pressure will be:

⇒ [tex]Pallow=\frac{Pn}{\Omega \times F.S}[/tex]

On substituting the values, we get

⇒             [tex]=\frac{1700}{1.67\times 0.65}[/tex]

⇒             [tex]= \frac{1700}{1.0855}[/tex]

⇒             [tex]=1845.35 \ K[/tex]

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