CIVIL TUTOR

1.1 Shear force and Bending moment: When a beam is subjected to a set of loads and reactions, as a result of which the internal forces and moments tend to setup within the beam This internal force is the shear force  and the internal moments are the bending moments.  For illustration,  consider a beam with a given set of loading supported at two points A &  B giving rise to reactions at the two supports.                        (fig.  1.1) Let's cut the beam into two parts &  let's assume that the resultant of loads (F) and reactions to the left of section xx is vertically upwards.                         (fig.  1.2) For equilibrium of the section, the resultant of loads and reactions to the right of section xx has to be equal to ''F" but vertically downwards. This force is known as shear force...

Force is an external agency which produces or tends to produce, destroys or tends to destroy the motion of a body . https://youtu.be/QOKdPtnePeg   a force while acting on a body  may (a) change the motion of a body (b) retard the motion of a body (c) balance the forces already acting on a body, and (d) give rise to the internal stresses in a body             Force is usually expressed in Newtons (briefly written as N). it may be noted that,                           1kgf= 9.81N   In order to determine the effect of a force acting on a body, we must know the magnitude of the force, the line of action of the force, the nature of the force i.e, pull or push and the point at which the force is acting. Moment of a force: the turning effect produced by ...

Slope deflection method: Slope deflection method is a displacement method used for the analysis of beams and frames. This method was introduced by George A Maney and was significantly used for more than a decade until the development of the Moment distribution method. Steps involved in solving a problem by slope deflection method: 1.Determine the fixed end moments by considering each span as a fixed beam 2. Write the slope deflection equations for each span 3. Write the equilibrium equations for each joint 4. Solve the equilibrium equations and slope deflection equations for finding rotations(θ) and settlements (Δ) 5. Substitute the values of Δ and θ and find the final end moments (M) 6. Draw BMD and SFD Slope deflection equations for any member AB of span L. M AB = M FAB +2EI/L[2θ Α +θ Β -3δ/L] M BA = M FBA +2EI/L[θ A +2θ B -3δ/L] where, M AB  & M BA = Final end moments at ends A & B respectively in any member AB. M FAB   & M FBA = Fi...