Strength Analysis of a T-section

Objective: Check of the strength analysis of the section

Task: Check the strength of a simply supported T-beam with the length of 4,0 m and 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. 27-28.

Initial data file:

SCAD 7 SNiP.spr
report – SCAD 7 SNiP.doc

Compliance with the codes: SNiP 2.03.01-84. 

Initial data:

b = 200 mm Beam section sizes
h = 600 mm  
b'f= 400 mm  
h'f= 100 mm  
а = 50 mm Distance from the center of gravity of the reinforcement to the compressed edge of the section
As = 1964 mm2 (4Ø25) Cross-sectional area of reinforcement
Класс бетона В25
Класс арматуры А-III
q = 191 kN/m Load on the beam
М =  300 kN/m Bending moment in the section

 

Results of the SCAD analysis:

N

Max. 0 T
Snap 0 m

Max. 0 T
Snap 0 m

My

Max. 0 kN*m
Snap 0 m

Max. 300 kN*m
Snap 2 m

Mz

 

 

 

 

Mk

 

 

 

 

Qz

Max. 30,58 T
Snap 0 m

Max. -30,58 T
Snap 4 m

Qy

 

Length of the bar 4 m
Length of the flexible part 4 m
Loading L1 - "150 kN/m"

 

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

58,5

20

 

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 4 m

 

Specified reinforcement

Segment

Reinforcement

Section

1

S1 - 4Ø25

 

 

Results

Segment

Utilization factor

Check

Checked according to SNiP

1

0,89

Ultimate moment strength of the section

Sec. 3.15-3.20, 3.27-3.28

 

Comparison of solutions

Check

strength of the section

Guide

300/327,1 = 0,917

SCAD

0,89

Deviation, %

3,0 %