Strength Analysis of a Rectangular Beam

Objective: Check the mode for calculating reinforced concrete structures in the “Reinforced Concrete” postprocessor of SCAD

Task: Check the strength of the cantilever beam section for the specified reinforcement

References: Guide on designing of concrete and reinforced concrete structures made of heavy-weight or lightweight concrete (no prestressing) (to SNiP 2.03.01-84), 1989, p. 26.

Initial data file:

SCAD 3 SNiP.spr
report – SCAD 3 SNiP.doc

 

Compliance with the codes: SNiP 2.03.01-84. 

Initial data:

b = 200 mm Beam section sizes
h = 800 mm  
а = 50 mm Distance from the center of gravity of the reinforcement to the compressed edge of the section
As = 2945 mm2 (6Ø25) Cross-sectional area of reinforcement
Concrete class В25
Class of reinforcement А-III
l = 4,8 m Beam span
q = 191 kN/m Load on the beam
М = 550 kN/m Bending moment in the section under the load

 

Results of the SCAD analysis:

N

Max. 0 T
Snap 0 m

Max. 0 T
Snap 0 m

My

Max. 0 kN*m
Snap 5 m

Max. 550,55 kN*m
Snap 0 m

Mz

 

 

Mk

 

 

Qz

Max. -11,21 T
Snap 0 m

Qy

 

 

Length of the bar 5 m
Length of the flexible part 5 m
Loading L1 - "110 kN"

 

Structural group Beam

Distance between the rebars in the first row S1  is less than the allowable value (see Sec. 5.12 of SNiP 2.03.01-84*)   .
Elements: 1
Importance factor  γn = 1
Importance factor (serviceability limit state) = 1
Member type – Flexural
Stress state - Uniaxial bending

 

Coefficients allowing for seismic action

 

Normal sections

0

 

Oblique sections

0

 

 

Distance to the c.o.g. of reinforcement

a1

a2

mm

mm

50

50

 

Reinforcement

Class

Service factor

Longitudinal

A-III

1

Transverse

A-I

1

 

Concrete
Concrete type: Heavy-weight
Concrete class: B25
Hardening conditions: Natural
Hardening factor 1

Service factor for concrete

γb2

allowance for the sustained loads

0,9

 

resulting factor without γb2

1

 

Humidity of environmental air - 40-75%

Crack resistance
Category of crack resistance - 3
Conditions of operation: Indoors
Mode of concrete humidity - Natural humidity
Allowable crack opening width:
  Short-term opening  0,4 mm
  Long-term opening  0,3 mm

Structural group Beam. Element No. 1
Member length 5,0 m

Specified reinforcement

Segment

Reinforcement

Section

1

S1 - 6Ø25

 

 

Results

Segment

Utilization factor

Check

Checked according to SNiP

1

0,83

Ultimate moment strength of the section

Sec. 3.15-3.20, 3.27-3.28

 

Comparison of solutions

Check

strength of the section

Guide

550/636,4 = 0,864

SCAD

0,83

Deviation, %

4,1 %