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Anika [276]
3 years ago
8

A bridge foundation has a nominal load capacity of 1700kN. If the resistance factor for this foundation is 0.65, what is the ult

imate factored load this foundation can carry using the LRFD method
Engineering
1 answer:
Alekssandra [29.7K]3 years ago
5 0

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:

⇒ Pallo w = \phi_c\times \frac{Pn}{F.S}

On substituting the values, we get

⇒             =0.9\times \frac{1700}{0.65}

⇒             =2353.8 \ K

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

⇒ Pallow=\frac{Pn}{\Omega \times F.S}

On substituting the values, we get

⇒             =\frac{1700}{1.67\times 0.65}

⇒             = \frac{1700}{1.0855}

⇒             =1845.35 \ K

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Write the definitions for engineering stress, true stress, engineering strain, and true strain for loading along a single axis.
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Answer and Explanation:

Engineering Stress of a material is defined as the applied load or force divided by the original cross sectional Area of the material.

σ(engineering) = F/(Ao)

True Stress is defined as the applied load or force divided by the actual cross-sectional area (the changing area with respect to time) of the material at that point in time. It's an instantaneous stress.

σ(true) = F/A

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First step, 10m to 10.1m, Δl = 0.1m, lf = 10.1m, lo = 10m

ε(engineering) = 0.1/10 = 0.01

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Second step, 10.1m to 10.2m, Δl = 0.1m, lf = 10.2m, lo = 10.1m

ε(engineering) = 0.1/10.1 = 0.0099

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Overall, 10m to 10.2m, Δl = 0.2m, lf = 10.2m, lo = 10m

ε(engineering) = 0.2/10 = 0.02

ε(true) = In (10.2/10) = 0.0198

QED!

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