Instructions for Calculator for Slope and Deflection of Cantilever
(i) The forces and deflection
in the upward direction are considered as positive whereas downward forces and deflection are taken as negative.
(ii) The moments and rotations in the counter clock-wise direction are taken as positive whereas moment and rotation in the clock-wise direction are taken as negative.
(iii) Take the origin of reference axes at the extreme left end of the
beam. All the distances should be entered in meter and load in kN,
Moment of Inertia in cm4 and Modulus of
elasticity (E) in GPa (109 N/m2). This calculator will give the values of slope in radian and deflection in mm at any section "x" of cantilever.
(iv) You can also quickly get the slope and deflection values
at different points of the beam just by changing the position of
section "x".
(v) This calculator can also be used to find the
ordinates of influence line diagram for
structures..
(vi) In case of combination of loads, you can apply the principle of
superposition to calculate the resultant slope and deflection.
You can select from the load cases given below to start calculation.
Prob 6-1 Calculate slope and defelction of Cantilever by Macaulay's method
Prob 6-2 Slope & Deflection of simple beam by double integration method
Prob 7-3 Deflection of beam by Unit Load Method
Prob 7-5 Deflection of pin-jointed truss by Unit Load method
Prob 7-1 Solving Indeterminate structure by method of consistent deformation
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