A simply supported beam having effective span of 5 meter is carrying a centrally concentrated load of 16 kN. The maximum bending moment in the beam in kN-m is _______________
Beam Maximum Bending Moment Calculation
This solution calculates the maximum bending moment for a simply supported beam under a central concentrated load.
Identify Beam Properties
- Beam Type: Simply supported
- Effective Span ($L$): 5 meters
- Concentrated Load ($P$): 16 kN (applied at the center)
Maximum Bending Moment Formula
For a simply supported beam with a concentrated load ($P$) at the center, the maximum bending moment ($M_{max}$) occurs at the center and is calculated using the formula:
$M_{max} = \frac{P \times L}{4}$
Calculate Bending Moment
Substitute the given values into the formula:
$P = 16 \text{ kN}$
$L = 5 \text{ m}$
$M_{max} = \frac{16 \text{ kN} \times 5 \text{ m}}{4}$
$M_{max} = \frac{80 \text{ kN-m}}{4}$
$M_{max} = 20 \text{ kN-m}$
Conclusion
The maximum bending moment in the beam is 20 kN-m.
Important Questions from Design of Structural Elements
A simply supported RCC beam of span 4 m is supporting a brick wall over its entire span. The brick wall is 250 mm thick and 2 m high. The RCC beam has a depth of 600 mm and width of 250 mm. The density of brick masonry and RCC can be assumed as 18 KN/m³ and 25 KN/m³ respectively. Considering the load of the wall and self-weight of the RCC beam, the maximum bending moment in the beam (in KN-m) will be ____________ [rounded off to two decimal places].
Area of tensile steel per meter width of a reinforced concrete slab is 335 sq mm. If 8 mm rods are used as reinforcement, then centre to centre spacing of the reinforcement in mm is _______________
- The maximum bending moment ($kNm$) in a simply supported beam of 8 $m$ span subjected to a uniformly distributed load of 20 $kN/m$ (inclusive of its self-weight) over the entire span is
- Which of the following is NOT a mechanism of bond resistance in reinforced concrete?
A single span simply supported reinforced concrete beam ($250 \text{ mm}$ wide and $480 \text{ mm}$ effective depth) is subjected to a concentrated load of $120 \text{ kN}$ at its mid-span. Neglecting self-weight of the beam, the nominal shear stress (MPa) at the support section is __________
