Statically Indeterminate Axially Loaded Member

To use deformation compatibility equations to calculate loads and deflections for statically indeterminate axially loaded columns.

$=15cm.$ A load of $P=66kN$ is applied with $L_1=1\mathrm{.}2m$ and $L_2=2\mathrm{.}5056m.$ The height of the columns is $h=3m.$ The moduli of elasticity for steel and concrete are $E_s=200$GPa and $E_c=30$GPa, respectively.

Part A $-$ Calculate the load acting on the left column when levec $\{P\}$ is applied

What is the magnitude of the axial compressive load on the left column, $F_1?$

Express your answer to three significant figures in $kN.$

View Available Hint$($s$)$

$F_1=$

kN

Part B $-$ Determine the deformation in the left column

The steel and concrete in the left column are bonded so that there is no slip. What is the deformation in this column due to the applied load?

Express your answer to three significant figures with the appropriate units.

View Available Hint$($s$)$

${}_1=$

Units

Part C $-$ Calculate the required diameter of the steel in the second column

the column on the right have so that the platform remains horizontal when the load is applied?

Express your answer to three significant figures in cm $.$

View Available Hint$($s$)$

$d_2=$

Learning Goal:

To use deformation compatibility equations to calculate loads and deflections for statically indeterminate axially loaded columns.

$=15cm.$ A load of $P=66kN$ is applied with $L_1=1\mathrm{.}2m$ and $L_2=2\mathrm{.}5056m.$ The height of the columns is $h=3m.$ The moduli of elasticity for steel and concrete are $E_s=200$GPa and $E_c=30$GPa, respectively.

Part $A-$ Calculate the load acting on the left column when levec $\{P\}$ is applied

What is the magnitude of the axial compressive load on the left column, $F_1?$

Express your answer to three significant figures in kN $.$

View Available Hint$($s$)$

$F_1=$

kN

Part B $-$ Determine the deformation in the left column

The steel and concrete in the left column are bonded so that there is no slip. What is the deformation in this column due to the applied load?

Express your answer to three significant figures with the appropriate units.

View Available Hint$($s$)$

Part C $-$ Calculate the required diameter of the steel in the second column

the column on the right have so that the platform remains horizontal when the load is applied?

Express your answer to three significant figures in $cm.$

View Available Hint$($s$)$

$d_2=$