For the beam shown below, ignoring the self-weight, the maximum hogging moment (in kN·m) generated for the loads indicated is_____________ (rounded off to one decimal place).
Step 1: Understand support conditions
Left end = pin support
Roller support is 2 m from start of UDL
There is an overhang of 2 m on the right
Hogging moment will occur at the roller support due to the 5 kN load on overhang
Step 2: Convert UDL into point load
UDL = $2 \text{ kN/m}$ over $2 \text{ m}$
Equivalent point load:
$W = 2 \times 2 = 4 \text{ kN}$
This acts at the center of the 2 m length.
Step 3: Find reactions
Let reactions be $R_A$ (left) and $R_B$ (roller).
Total downward load:
$3 + 4 + 5 = 12 \text{ kN}$
So,
$R_A + R_B = 12$
Taking moment about left support:
$R_B(4.5) = 3(1) + 4(3.5) + 5(6.5)$
$R_B(4.5) = 3 + 14 + 32.5$
$R_B(4.5) = 49.5$
$R_B = 11 \text{ kN}$
Then,
$R_A = 12 - 11 = 1 \text{ kN}$
Step 4: Maximum hogging moment
Maximum hogging occurs at roller support due to overhang load.
Taking moment at roller support:
$M_B = -5 \times 2$
$M_B = -10 \text{ kN-m}$
Maximum hogging moment (magnitude):
$\boxed{10.0 \text{ kN-m}}$
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].
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 _______________
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?
