Learning Goal:

To learn how to find internal forces for a statically indeterminate axially loaded structure by using deformation compatibility relationships and static equilibrium

equations.

A reinforced concrete pier supports a $350$ kip axial compressive load as shown. The $12-$in$-$diameter concrete pier is reinforced with $6$ #$8($i$.$e$.,1-$in diameter$)$ steel

reinforcing bars $($i$.$e$.,$ rebar$).$ The steel and the concrete are assumed to be bonded together $($i$.$e$.,$ there is no slip between them upon loading$).$ The modulus of

elasticity for the steel rebars is $29,000$ksi and the modulus of elasticity for the concrete is $4,200$ksi.

Part A $-$ Find the axial stress in the concrete when the pier is loaded

Find the axial stress in the concrete when the pier is loaded.

Express your answer in ksi to three significant figures. Indicate compressive stresses with a negative sign. A value entered with no sign is assumed

to be a tensile stress.

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Part B $-$ Find the axial stress in the steel when the pier is loaded

Find the axial stress in the steel when the pier is loaded.

Express your answer in ksi to three significant figures. Indicate compressive stresses with a negative sign. A value entered with no sign is assumed

to be tensile.

View Available Hint$($s$)$