Step 1 :1. Calculate the net effective load: \( \mathrm{Q}_{\mathrm{net}}=\frac{1780}{1.8^{2}}= \) 547.222 kN/\( \mathrm{m}^{2} \)
Step 2 :2. Calculate the modified axial load: \( \mathrm{Q}_{\mathrm{mod}}=\frac{\mathrm{Q}_{\mathrm{net}}}{3 . 0}= \) 182.407 kN/\( \mathrm{m}^{2} \)
Step 3 :3a. Use Hansen's bearing capacity equation: \( q_{\mathrm{permit}}=c N_{\mathrm{c}} \mathrm{s}_{\mathrm{c}} \mathrm{d}_{\mathrm{c}} \mathrm{i}_{\mathrm{c}}+\mathrm{D}_{\mathrm{f}} \left(1 - 0.5 d_{\mathrm{f}} / \mathrm{D}_{\mathrm{F}} \right) \gamma N_{\mathrm{q}} \mathrm{s}_{\mathrm{q}} \mathrm{d}_{\mathrm{q}} \mathrm{i}_{\mathrm{q}} + 0.5 \gamma \mathrm{B} N_{\mathrm{\gamma}} \mathrm{s}_{_{\gamma}} \mathrm{d}_{_{\gamma}} \mathrm{i}_{_{\gamma}} \), \( q_{\mathrm{allowable}}= q_{\mathrm{permit}} - \mathrm{Q}_{\mathrm{mod}} \)
Step 4 :3b. Use Meyerhof's reduction factors: Apply equation to Meyerhof: \( q_{\mathrm{permit}}=c N_{\mathrm{c}} \mathrm{s}_{\mathrm{c}} \mathrm{d}_{\mathrm{c}} \mathrm{i}_{\mathrm{c}}+\mathrm{D}_{\mathrm{f}} \left(1 - 0.5 d_{\mathrm{f}} / \mathrm{D}_{\mathrm{F}} \right) \gamma N_{\mathrm{q}} \mathrm{s}_{\mathrm{q}} \mathrm{d}_{\mathrm{q}} \mathrm{i}_{\mathrm{q}} + 0.5 \gamma \mathrm{B} N_{\mathrm{\gamma}} \mathrm{s}_{_{\gamma}} \mathrm{d}_{_{\gamma}} \mathrm{i}_{_{\gamma}} \), \( q_{\mathrm{allowable}}= q_{\mathrm{permit}} - \mathrm{Q}_{\mathrm{mod}} \)
Step 5 :4a. Calculate bearing capacity using Hansen's formula.
Step 6 :4b. Calculate bearing capacity using Meyerhof's formula.
Step 7 :5. Compare the bearing capacity in both cases and report the lower value as the final allowable soil pressure.