• Maximum bending moment ($M$) = $5 \text{kN}\cdot\text{m}$
• Maximum shear force ($V$) = $10 \text{kN}$

Given Adjusted Allowable Stresses:

• Bending ($F_b'$): $12 \text{MPa}$
• Shear ($F_v'$): $1.0 \text{MPa}$

Verify if the beam is safe for both bending and horizontal shear.

Given Parameters:

• Reference bending design value ($F_b^*$): $14.0 \text{ MPa}$
• Minimum Modulus of Elasticity ($E_{min}'$): $6,000 \text{ MPa}$
• Effective unbraced length ($l_e$): $5,000 \text{ mm}$

• Main span ($L_1$): $4.0 \text{ m}$
• Overhang ($L_2$): $1.5 \text{ m}$
• Load ($w$): $5 \text{ kN/m}$
• Adjusted Allowable Bending Stress ($F_b'$): $10 \text{ MPa}$

• Immediate Dead Load Deflection ($\Delta_{DL}$): $8 \text{ mm}$
• Immediate Live Load Deflection ($\Delta_{LL}$): $10 \text{ mm}$

The joist must support unseasoned lumber in wet conditions, requiring a long-term creep factor of $2.0$. The code requires the total long-term deflection not to exceed $L/240$.

Determine if the joist is safe for serviceability.

Determine the minimum required length of bearing ($l_b$) on the concrete wall to prevent the timber from crushing.