Design Shear ReinForcement For a beam Shown below. It's Si ze is 350 x 600· It's effective dep th 525mm. It is Supported is column of size on 450x450. Column and steel is Gyade is C-25 420.It is reinforced with 3 No 8 + 3No 6 bars. Grade of Shear rein forcement is 280. 130KN/m 000 6-3m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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solve the question given in the image provided clearly in typed form.

De sign Shear Rein Forcement
For a
beam
Shown
below. It's
Size
is
350 x 6 00. It's
effective
dep th is
525 mm. It is supported
column
of size
on
450x450. Column
is
C-25
and steel
is Grade
420.It
is
reinforced with
3 No8 + 3No 6 bars.
Grade of
Shear
vein forcement
is 280.
13 okN/m
6-3m
と
Transcribed Image Text:De sign Shear Rein Forcement For a beam Shown below. It's Size is 350 x 6 00. It's effective dep th is 525 mm. It is supported column of size on 450x450. Column is C-25 and steel is Grade 420.It is reinforced with 3 No8 + 3No 6 bars. Grade of Shear vein forcement is 280. 13 okN/m 6-3m と
Expert Solution
Step 1 Interpretation of data

Data given:

Length of the beam (L) = 6.3 m

Uniformly distributed load (w) = 130 kN/m

Size of the beam (B × D) = 350mm x 600mm

Effective depth (deffective) = 525 mm

Grade of shear reinforcement = 280

Column = C-25

Grade = 420

3 #8 bars and 3 #6 bars

 

Step 2 Calculations for support reaction and maximum shear stress

The maximum shear force can be observed at support. Therefore, the value of support reaction can be calculated as,

VA = VB = wL2 = 130 × 6.32 = 409.5 kN

Ergo, the maximum shear stress can be calculated as,

τ = VuB×d = 409.5 × 103350 × 525 = 2.23 N/mm2

 

Step 3 Calculations for area of steel provide

Properties of #8 rebar

Nominal area = 509 mm2

 Area of 3 #8 rebars = 3 × 509 = 1527 mm2

Properties of #6 rebar

Nominal area = 284 mm2

 Area of 3 #6 rebars = 3 × 242 = 726 mm2

Total area of steel = 2253 mm2

% of steel provided = AstB × d × 100 = 2253350 × 525 × 100 = 1.226%

Consider grade of concrete = M20

 Tsteel = 0.41 N/mm2

Ergo, shear stress resist by steel = 0.41 MPa

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