A theoretical and practical treatise on the strength of beams and columns

Robert H Cousins

Description

T REESE LIBRARY OF THE OF CALIFORNIA.UNIVERSITY ^LReceived^ No. No.Accessions *$-&- . Resultant . 37^2 Tbx bdx = , */#r T 3^T * . . The moment ?. o =the moment the resultant we obtain the lever arm fdr.Dividing by OFAN UNIFORMLY9. Problem I. THEMOMENTREQUIRED WITHVARYING COMPRESSIVE FOKCE OF MAXIMUM INTENSITY, C\ RESPECT TO AN IN THE BACK OF THE PRESSURE WEDGE.J3,AXIS, LetABD a section the (Fig. 5) represent through pressure wedge. M C= >The resultant 7^ STRENGTH OF BEAMS AND COLUMNS.10 =The lever-arm %dc , (11) PROBLEM II. the moment aRequired of only portion of =over a EB d and width l)the distributed l lforce depth in A. the axis at Bthe zero at ;force being intensity being (Fig. 5). ! =C the of the force at--7 intensity E, ' = the lever-arm of this force at consideredE, 2i to be constant over the distance EB, -_ i =( C the of the force at B less that1 intensityJ atJ?, - = its lever-arm, o considered the force to be divided into twoHaving portions, the in over theconstant EB,first, GE, intensity depth and at G tothe second in from zeroincreasing intensity l-f 1 G at the moments of theseF, by adding parts'j J we obtain 5 = (8rf-H , (12) VARYINGUNIFORMLY FORCES. 11 the Calculus :By = =Let x d the ABc c depth (Fig. 5), =x distance from A,any C= the of the force at the xdepthintensity t bdx= ofa small area of the base the wedge, -.JLsBSp.otli.'lt the above for R between the limits x= d andc , cIntegrating expression =x we obtaindi, b -E or 12.c (Me 2di) C, Eq. jj~ 1O.

Sujets

• Girder
• Columns
• Strength of materials

Informations

• Publié par: les_archives_du_savoir
• Nombre de lectures: 12
• Langue: English
• Poids de l'ouvrage: 10 Mo

Extrait

T
REESE LIBRARY
OF THE
OF CALIFORNIA.UNIVERSITY
^LReceived^
No. No.Accessions *$-&-<r-^--3 ShelffSihtmttixvA mid imtiial
STRENGTH
BEAMS AND COLUMNS;
IN WHICH
THE ULTIMATE AND THE ELAS-
TIC LIMIT STRENGTH OF BEAMS AND COL-
UMNS IS COMPUTED FROM THE ULTIMATE AND ELASTIC
LIMIT COMPRESSIVE AND TENSILE OF THESTRENGTH MATERIAL,
BY THE CORRECTMEANS OF FORMULAS DEDUCED FROM
AND NEW THEORY OF THE TRANSVERSE
STRENGTH OF MATERIALS.
BY
EOBEET H. COUSIKS,
Civil Engineer,
Assistant Mathematics at theFormerly P)'ofesaor of Virginia Military Institute,
Va.Lexington.,
E. & F. N. SPON",
NEW YORK : LONDON :
12512 CORTLANDT STREKT. STRAND.
1889.
[All rights reserved.]COPYRIGHT, 1889,
BY
R. H. COUSINS.