BRIDGE DESIGN AIDS FEBRUARY 1990 8·0

The following pages ofBridgeDesignAids, Section 8, have been reviewed in December 1989 and found to be valid and appropriate for continued use:

Page Date Title

8- l thru 8-9 May 1962 Influence Lines for Momem (3 Span with% end spans)

8-10 thru 8-20 May 1962 Influence Lines for Moment (4 Span with% end spans)

8-21 thru 8-32 May 1962 Influence Lines for Momem (5 Span with% end spans)

8-35 thru 8-43 Jan 1963 Influence Lines for Moment (4 equal spans)

8-45 thru 8-47 May 1963 Design Charts - Moment envelopes

These pages will be updated when appropriate.

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8-37 VOL Ill Design Aids BRIDGE PLANNING AND DESIGN MANUAL Janvory 1963

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VOL Ill Design Aids BRIDGE PLANNING AND DESIGN MANUAL Jonuoty l963 8-39

VOL Ill Design Aids BRIDGE PLANNING AND DESIGN MANUAL Jonuory 1963 8-40

8-41 VOL Ill Design Aids BRIDGE PlANNING AND DESIGN MANUAL JonvOfy 1963

8-42 VOL Ill Design Aids BRIDGE PLAHHING AHD DESIGN MANUAL Jonvo, .,. 1943

VOL Ill Design Aids BRIDGE PLANNING AND DESIGNMANUAL

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VOL Ill Des ign Aids BRIDGE PLANNINGAND DESIGN MANUAl Mo)' 1963 8-45

Posit ive Moment Negative Moment I I "I

0 10 20 30 40 50 40 30 20 10 0 100 100y90 90

IIeo {, ~

@ _, f!l 8.(;

e1o /i 'I '-- 70"' 0

(,)1l: ~H60

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20 20

10

1/

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10

0 10 20 30 40 50 40 30 20 10 0 % of Span Length

NOTES: Use for Continuous Structures with approximately equal Spans, or adjacent to 3/4 length simply supported end span.

.Rot1o of

DL Moment LL +I Moment

shown thus: @1.0

AASHO 1944, and subsequent revisions.

LL H20-S16-44 USE OF CHART' Calculate max. negative DL+LL+IM of support by co~entionof methods. Coli thi~ total 100%. Find rat io DLM using max. M values ot support.

LL+IM To find mox. neg. M ot other points in span, read % from proper ratio curve and multiply max. neg. M ot support by this %. Colculote mox. posit ive DL+ LL+ I M ot ~ span, and continue os above, referring oil values to ~ span.

DESIGN CHART ENVELOPE CURVES FOR MOMENT-INTERIOR

SPAN- UNIFORM MOM. OF INERTIA

---

8-46 VOL Ill Design Aids BRIDGE PLANNING AND DBIGH MANUAL July 1963

Symmetrical about ~ span--..2 ~ ®. ~v/

~ ~ c:~ ~ ~0 ~ 0 ~ ~ ::;:( /.....--:::: / -cr- fJ)r:::::::

0 ~~ 0 N - r-----r- -I-I

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0

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@ (£"~A ~~ I®0 lD

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1\ "0c: 'E lD LIJ .... Cl> -~ 0 0 C: E v•

--.;;;::: r<)r<) ~~ 0 ~ ::!: ... ~

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0 Cl>r--r--'-- .... ..J

.::!t-- ~ ..J 0 0 0

0

0 ~ g ~ ~ ~ ~ N

%Maximum DL + LL+I Moment

This chart con be used for any structure of 3 continuous spans of uniform moment of inertia. In a structure having columns fixed with the deck the negative moment curves will change from the values indicated. For "Use of Chart" see Design Chart on Interior Span.

8-47 VOL Ill Design Aids BRIDGE PLANNING AND DESIGN MANUAL

0 10 20 30 40 50 60 70 80 90 100 100

/ ~ 90 / ~

- ~1/ ~ @

s c 80

~ 70 I ~~ Cl>t3) c

H

+ -1/; ,, _J I ~\ _J 60

1\1 ~I+ I ~ · '"'flU"" _J 0 50 1/ \\1\ (1.0) 17/!J

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30 1/tlI @ v V'@ L/en

20 h ~ ~~I lJ (\1\10 I

1/ -~v://v /1V@ '\ \// 0 10 20 30 40 50 60 70 80 90 100

% of Span Length

DL Moment Ratio of shown thus:LL+ I Moment

This chart can be used for o 2 span continuous structure in which the ends and center ore simply supported. It may be used for a structure in which the center bent is fixed with the girders, however bar lengths will be slightly longer than required.

SOLID LINES 50' spans DASHED LINES --- -- 100' spans

DESIGN CHART ENVELOPE CURVES FOR MOMENT

2 EQUAL CONTINUOUS SPANS UNIFORM I

LIVE LOAD H20- Sl6-44