Awarded as the best online publication by CIDC

Continous Beams And One Way Slabs

The ACI Code gives approximate formulas for finding shear and bending moments in continuous beams and one way slabs. A summary list of these formulas follows. They are equally applicable to USCS and SI units. Refer to the ACI Code for specific applications of these formulas.

For Positive Moment

1 ) End spans

If discontinues end is unrestrained =  wl2n /11

If discontinues end is integral with the support=  wl2n /14

2) Interior spans =  wl2n/16

For Negative Moment

1) Negative moment at exterior face of first interior support

Two spans = wl2n /9

More spans = wl2n /10

2) Negative moment at other faces of interior supports= wl2n / 11

3) Negative moment at face of all supports for slabs with spans not exceeding 10ft (3m) and (b) beams and girders where the ratio of sum of column stiffness to beam stiffness exceeds 8 at each end of the span= wl2n / 12


4)Negative moment at interior faces of exterior supports, for members built integrally with their supports

Where the support is a spandrel beam or grider =wl2n /24

Where the support is a column =wl2n /16

Shear Forces

Shear in end members at first interior support = 1.15 wln /2

Shear at all other supports =  wln /2

End Reactions

Reactions to a supporting beam, column, or wall are obtained as the sum of shear forces acting on both sides of the support.

Share this post

Kanwarjot Singh

Kanwarjot Singh is the founder of Civil Engineering Portal, a leading civil engineering website which has been awarded as the best online publication by CIDC. He did his BE civil from Thapar University, Patiala and has been working on this website with his team of Civil Engineers.

If you have a query, you can ask a question here.

2 comments on "Continous Beams And One Way Slabs"

Matthew says:

Your knowledge is awesome!

Dave Merkes says:

I have seen example problems that increase the positive moment calculated by above equation
by 15% for two span structures. Why is this?

Leave a Reply

Your email address will not be published. Required fields are marked *

Ask a question