Mastering Mechanics 1: Using MATLAB 5: CH2004.m - File Exchange

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Highlights from
Mastering Mechanics 1: Using MATLAB 5

[Column]=makecol(data,formatn... Used with titleblock, from the shape routines.
[D, Slope]=displace(x,Moment,... DISPLACE Displacement of a beam.
[NewState]=straintr(StrainSta... STRAINTR Stress rotation.
[PriStrains, IPShearMax, Shea... PRISTRAIN Principal strains.
[PrinciplePlanes]=ppstrain(St... PPSTRAIN The principle planes of a strain state.
[PrinciplePlanes]=ppstress(St... PPSTRESS The principle planes of a stress state.
[PrincipleStresses, IPShearMa... PRISTRESS Principal stresses.
[StrainState]=rosette(epsilon... ROSETTE Converts strain gauge readings to strain state.
[]=expandaxis(perleft, perrig... EXPANDAXIS Extends the current axis in any or all directions.
[]=mohrs(StressState, option,... MOHRS Draws a Mohr's circle.
[]=mohrs2(StrainState, option... MOHRS2 Draws a Mohr's circle.
[]=plotSMD(x,shear,moment,dis... PLOTSMD Plots a Shear Moment and optional Displacement diagram.
[]=plotSMSD(x,shear,moment,sl... PLOTSMSD Plots a Shear, Moment, Slope and Displacement diagram.
[]=showvect(vectors) SHOWVECT Draws a simple diagram showing the input vectors.
[]=showx(x,colour) SHOWX Draws a line across the current axis.
[]=showx(y,colour) SHOWY Draws a line across the current axis.
[]=titleblock=titleblock(colu... TITLEBLOCK Adds two columns of text within the axis border.
[angles]=findangle (a,b,c); FINDANGLE Finds unknown angles of a triangle.
[area]=diagramintegral(x,y) DIAGRAMINTEGRAL Integral of the given numerical data.
[degrees]=RD(radians) RD Changes a matrix of radian measure to a matrix of degree measure.
[force, placement]=distload(h... DISTLOAD Converts a linearly distributed load to a point force.
[force,moment]=reaction(vecto... REACTION Finds the reaction force and moment needed to balance a force.
[forces]=fixedfixed(x,s,m,a,L... FIXEDFIXED Redundant support moments and forces.
[forces]=fixedpin(x,s,m,a,End... FIXEDPIN Redundant support moments and forces.
[forces]=pinpin(x,s,m,a,EndSu... PINPIN Redundant support forces.
[hypotenuse]=hyp(x,y) HYP Finds the hypotenous of a right triangle.
[leglength]=leg(knownleg,hypo... LEG Finds the leg length of a right triangle.
[magnitude]=mag(inVector, dir... MAG Returns the magnitude of a vector.
[matrix]=makepins(a,L,support... MAKEPINS subroutine for redundancy routine.
[moment]=summoment(vectors, c... SUMMOMENT Solves for the moment caused by a set of forces.
[num]=cols(m) COLS Counts the number of columns in a matrix.
[num]=rows(m) ROWS Counts the number of rows in a matrix.
[outVector]=opp(inVector) OPP Returns the equal but opposite vector
[outvalue]=interpolate(x,y,in... INTERPOLATE Linear interpolation for a given value.
[pntload]=dist2x(mags, place,... DIST2X Converts a distributed load to a point force acting in the X.
[pntload]=dist2y(mags, place,... DIST2Y Converts a distributed load to a point force acting in the Y.
[radians]=DR(degrees) DR Changes a matrix of degree measure to a matrix of radian measure.
[reactions]=threevector(known... THREEVECTOR Solves for three force vectors of known direction only.
[reactions]=twovec(knowns, un... TWOVECTOR Solves for two force vectors of known direction only.
[result]=channel(b,h,bt,lt,or... CHANNEL U-shape shape routine.
[result]=circle(r,req) CIRCLE Circle shape routine.
[result]=comp(part,req) COMP Composite shape routine.
[result]=halfcircle(r,orient,... HALFCIRCLE Semicircle shape routine.
[result]=hortrap(b,h,a,p,req) HORTRAP Horizontal trapezoid shape routine.
[result]=hortria(b,h,p,req) HORTRIA Horizontal triangle shape routine.
[result]=ibeam(b,h,bt,wt,orie... IBEAM I-beam shape routine.
[result]=lbeam(hl,vl,ht,vt,or... LBEAM L-beam shape routine.
[result]=obeam(od,id,req) OBEAM Circular tube shape routine.
[result]=quartercirc(r,orient... QUARTERCIRCLE Quarter circle shape routine.
[result]=rectangle(b,h,req) RECTANGLE Rectangular shape routine.
[result]=rectangle(b,h,req) RECTANGLE Rectangular shape routine.
[result]=rectube(ob,oh,ib,ih,... RECTUBE Rectangular tube shape routine.
[result]=tbeam(b,h,bt,wt,orie... TBEAM T-beam shape routine.
[result]=vertrap(b,h,a,p,req) VERTRAP Horizontal trapezoid shape routine.
[result]=vertria(b,h,p,req) VERTRIA Horizontal triangle shape routine.
[resultant,couple]=sumforce(v... SUMFORCE Sums a set of vectors into one force vector and a couple.
[resultant]=onevector(knowns) ONEVECTOR Vector that is the negative of sum of forces acting at a point.
[sn,tnt]=stresstr(StressState... STRESSTR Stress rotation.
[value]=ispos(x) ISPOS True for positive numbers.
[value]=matprop (name,constan... MATPROP Material properties look up.
[vector]=deg2xy(inputs) DEG2XY Converts vectors in degree angles to standard form.
[vector]=rad2xy(inputs) RAD2XY Converts vectors in radian angles to standard form.
[vector]=rise2xy(inputs) RISE2XY Converts vectors in rise-run format to standard form.
[vector]=xy2deg(inputs) XY2DEG Converts vectors in standard form to degree angle form.
[vector]=xy2rad(inputs) XY2RAD Converts vectors in standard form to radian angle form.
[x,y]=showcirc (radius,coords... SHOWCIRC Draws a circle on the current axis.
[x,y]=showrect (x,y,coords,co... SHOWRECT Draws a rectangle on the current axis.
[xmag,ymag,xcor,ycor]=breakup... BREAKUP Breaks a standard form force vector into its component parts.
[y]=diagram (x,option,mag,pla... DIAGRAM Creates vectors for use in plotting of diagrams.
move (inVector, coords) MOVE Changes the coordintes of a vector.
rain2ess(StrainState,E,poison... STRAIN2STRESS Converts strain to stress.
stress2strain(StressState,E,p... STRESS2STRAIN Converts stress to strain.
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define.m
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from Mastering Mechanics 1: Using MATLAB 5 by Doug Hull
Companion Software

CH2004.m

loadFG=[17,0,4,10];
unknownsFG=[0,0,0;DR(90),0,0;DR(90),4,0];
reactionsFG=threevector(loadFG,unknownsFG);
pointL=twovector(loadFG,[DR(-90),atan2(-5,-4)]);
magF=mag(pointL(2,:));
pointP=twovector(reactionsFG(3,:),[DR(90),DR(180)]);
magG=mag(pointP(1,:));
areaFG=rectangl(4,2,'area');
AverageNormalF=magF/areaFG
AverageNormalG=magG/areaFG

Highlights from Mastering Mechanics 1: Using MATLAB 5

Highlights from
Mastering Mechanics 1: Using MATLAB 5