1. **Problem Statement:** Design a welded steel frame using an I-beam to support a 2000 kg machine placed at the center of the frame. The frame is simply supported at both ends and must withstand the static vertical load without failure. 2. **Calculate the Load (Force) on the Frame:** The weight $W$ of the machine is converted to force using gravity $g = 9.81 \frac{m}{s^2}$: $$F = mg = 2000 \times 9.81 = 19620\ \text{N}$$ 3. **Determine the Reaction Forces at Supports:** Since the load is at the center of a simply supported beam, the reactions at both supports are equal: $$R_1 = R_2 = \frac{F}{2} = \frac{19620}{2} = 9810\ \text{N}$$ 4. **Calculate the Maximum Bending Moment:** The maximum bending moment $M_{max}$ occurs at the center: $$M_{max} = R_1 \times \frac{L}{2} = 9810 \times 1 = 9810\ \text{Nm}$$ where $L = 2$ meters is the beam length. 5. **Calculate the Section Modulus $S$ of the I-beam:** Assuming a suitable I-beam section with known dimensions, the section modulus $S$ is needed to find bending stress: $$\sigma = \frac{M_{max}}{S}$$ 6. **Check Bending Stress Against Yield Strength:** The bending stress must be less than the yield strength of mild steel (250 MPa): $$\sigma \leq 250 \times 10^6\ \text{Pa}$$ 7. **Weld Design:** Select groove or fillet welds that can safely transfer the calculated bending moment and shear forces without failure, considering weld strength and safety factors. **Summary:** - Load $F = 19620$ N - Reactions $R_1 = R_2 = 9810$ N - Max bending moment $M_{max} = 9810$ Nm - Ensure bending stress $\sigma = \frac{M_{max}}{S} \leq 250$ MPa - Design welds accordingly to support these stresses safely. This completes the static load analysis for the welded steel frame design.