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Diffstat (limited to '3862/CH2/EX2.23')
-rw-r--r-- | 3862/CH2/EX2.23/Ex2_23.sce | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/3862/CH2/EX2.23/Ex2_23.sce b/3862/CH2/EX2.23/Ex2_23.sce new file mode 100644 index 000000000..2615e9871 --- /dev/null +++ b/3862/CH2/EX2.23/Ex2_23.sce @@ -0,0 +1,31 @@ +clear +// + +//When the roller is about to turn over the curb, the contact with the floor is lost and hence there is no reaction from the floor. The reaction R from the curb must pass through the intersection of P and the line of action of self weight, since the body is in equilibrium under the action of only three forces (all the three forces must be concurrent). + +//variable declaration +W=2000.0 //weight of roller,N +r=300.0 //radius of roller,mm +h=150.0 // height of curb,mm +OC=r-h +AO=r + +alpha=acos(OC/AO) + +//angleOAB=angleOBA,Since OA=OB, +angleOBA=(alpha)/2 + +//the reaction makes 30° with the vertical +//sum of vertical Fy & sum of horizontal forces Fx is zero +//Assume direction of Fx is right +//Assume direction of Fy is up + +R=W/cos(angleOBA) +P=R*sin(angleOBA) + +printf("\n P= %0.2f N",P) + +//Least force through the centre of wheel: Now the reaction from the curb must pass through the centre of the wheel since the other two forces pass through that point. Its inclination to vertical is theta = 60°. If the triangle of forces ABC representing selfweight by AB, reaction R by BC and pull P by AC, it may be observed that AC to be least, it should be perpendicular to BC. In other words, P makes 90° with the line of action of R. +//From triangle of forces ABC, we get +P=W*sin(alpha) +printf("\n P= %0.2f N",P) |