PHICON

Disclaimer. EC7-style preliminary calculation. Verify independently for final design.

1. Project Details

Field	Value
Project
Location
Calculation
Designer
Checker
Date
Revision
Notes

2. Standards & Design Approach

Standard	Selection	Notes
Eurocode 7 (EC7)	EN 1997-1 with NA	ULS DA1 (C1 & C2), SLS

3. Geometry & Soil Inputs (Characteristic — Live)

Parameter	Symbol	Unit
Footing width	B	m
Footing length	L	m
Embedment depth to base	D_f	m
Foundation thickness	t_found	m
Soil unit weight	γ_k	kN/m³
Saturated unit weight	γ_sat	kN/m³
Depth to water table	z_WT	m
c’ (drained cohesion)	c_k	kPa
φ’ (drained friction angle)	φ_k	deg
c_u (undrained)	c_u,k	kPa
δ (base friction)	δ_k	deg
c_a (adhesion)	c_a,k	kPa

4. Characteristic & ULS Design Actions

Characteristic Actions (editable)
Vertical	V_k		kN
Horizontal (B direction)	H_B,k		kN
Moment (about L axis)	M_L,k		kNm
Derived permanent action for V (net self-weight)
Concrete self-weight	G_self,k	–	kN
Soil removed	G_soil,k	–	kN
Net added	ΔG_k	–	kN
V incl. ΔG	V_k,total	–	kN

ULS Combination	V	H_B	M_L
DA1-C1	–	–	–
DA1-C2	–	–	–

5. Factors

Combination Factors Summary — DA1‑C1 vs DA1‑C2 (linked to NA presets, editable)
Factor	DA1‑C1	DA1‑C2
γ_G
γ_Q
γ_c
γ_φ
γ_γ
γ_cu
γ_Rv (bearing)
γ_Rh (sliding)

6. Calculated Factors

6.1 Inclination Factors (from H/V)
Combo	i_c	i_q	i_γ	α = H/V
SLS (rep.)	–	–	–	–
DA1‑C1	–	–	–	–
DA1‑C2	–	–	–	–

6.2 Shape Factors (rectangular footing, using effective B′, L′)
Combo	B′ (m)	L′ (m)	s_c	s_q	s_γ
SLS (rep.)	–	–	–	–	–
DA1‑C1	–	–	–	–	–
DA1‑C2	–	–	–	–	–

6.3 Bearing Capacity Factors (N_c, N_q, N_γ)
Set	φ (deg)	N_c	N_q	N_γ
Characteristic	–	–	–	–
Design C1	–	–	–	–
Design C2	–	–	–	–

6. Results

SLS (Characteristic) — Drained
q_d	–	kPa
q_d overburden @ base	–	kPa
&gamma’_base (eff.)	–	kN/m³
SLS (Characteristic) — Undrained
q_d	–	kPa

ULS	V	q_Rd Drained	q_Rd Undrained
DA1-C1	–	–	–
DA1-C2	–	–	–

Sliding Check (ULS)
Combo	H_Ed	V	R_Rd;h
DA1-C1	–	–	–
DA1-C2	–	–	–

Overturning Check — B direction only (e_B=M_L/V)
Limit	B/6	–	m
DA1-C1	e_B	–	m
DA1-C2	e_B	–	m

7. Conclusions — Overdesign Factors

7.1 Bearing Overdesign Factor η = (q · A′) / V (η ≥ 1 ⇒ ✔ OK)
Case	V used	A′	q_rep	η	Status
SLS — Drained	–	–	–	–	–
SLS — Undrained	–	–	–	–	–
ULS DA1‑C1 — Drained	–	–	–	–	–
ULS DA1‑C1 — Undrained	–	–	–	–	–
ULS DA1‑C2 — Drained	–	–	–	–	–
ULS DA1‑C2 — Undrained	–	–	–	–	–

7.2 Stability Overdesign Factors (η ≥ 1 ⇒ ✔ OK)
Check	Combo	η	Status
Sliding	DA1‑C1	–	–
Sliding	DA1‑C2	–	–
Overturning (B)	DA1‑C1	–	–
Overturning (B)	DA1‑C2	–	–

8. Governing Formulas

SLS — Drained bearing pressure

\[ q_{d,SLS}^{(D)} = c’_k N_c s_c i_c \; + \; \gamma_k D_f N_q s_q i_q \; + \; 0.5\,\gamma_k B’ N_{\gamma} s_{\gamma} i_{\gamma} \]

—

SLS — Undrained bearing pressure

\[ q_{d,SLS}^{(U)} = c_{u,k} N_c \quad (N_c = 5.14) \]

—

ULS — Drained, DA1‑C1 (with resistance factor)

\[ q_{Rd}^{(D,C1)} = \frac{\;c’_d N_c s_c\; + \; \gamma_d D_f N_q s_q i_q \; + \; 0.5\,\gamma_d B’ N_{\gamma} s_{\gamma} i_{\gamma}\;}{\gamma_{R;v}} \]

—

ULS — Drained, DA1‑C2 (with resistance factor)

\[ q_{Rd}^{(D,C2)} = \frac{\;c’_d N_c s_c\; + \; \gamma_d D_f N_q s_q i_q \; + \; 0.5\,\gamma_d B’ N_{\gamma} s_{\gamma} i_{\gamma}\;}{\gamma_{R;v}} \]

—

ULS — Undrained, DA1‑C1

\[ q_{Rd}^{(U,C1)} = \frac{c_{u,k}}{\gamma_{cu,C1}} N_c \; / \; \gamma_{R;v} \]

—

ULS — Undrained, DA1‑C2

\[ q_{Rd}^{(U,C2)} = \frac{c_{u,k}}{\gamma_{cu,C2}} N_c \; / \; \gamma_{R;v} \]

—

ULS — Sliding resistance

\[ R_{Rd;h} = \frac{ V_{Ed} \tan\delta_d + c_{a,d} A’ }{\gamma_{R;h}} \]

—

ULS — Overturning (kern / middle‑third)

\[ e_B = \frac{M_{B,Ed}}{V_{Ed}},\quad e_L = \frac{M_{L,Ed}}{V_{Ed}},\quad e_B \le \frac{B}{6},\; e_L \le \frac{L}{6} \]

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