Question

Problem 1. A. Using singularity functions method, find out the equations for q, v, and M. B. Using appropriate boundary conditions, find out the constants. C. Draw shear force and bending moment diagrams.

Answer 1

Answer:

Hello the required diagram for the question  is missing attached is the diagram AND A FREE BODY DIAGRAM

B)Rav = 3.375 KN  Rbv = 4.625 KN

Explanation:

Attached is the detailed diagram of the bending moment diagrams and shear force

A) using singularity functions

y(x) = Displacement shape of Elastic curve

dy/dx = ∅ (x) ( slope )

d^2x/dy^2 = m(x) / E I  ( moment function )

d^3x / dy^3 = I / EI V(x) ( shear function )

d^4x / dy^4 = I / EI q(x) ( loading function )

B) using the appropriate boundary conditions find out the constants

summation of F(x)  = 0

Rah = 0

Rav - 8 + Rbv = 0

Rav + Rbv = 8 ----- equation 1

summation of M(a) = 0

= -8(4) + Rbv (8) - 5 = 0

therefore Rbv = 37 / 8 = 4.625 KN

insert the value of Rbv back into equation 1

Rav = 8 - 4.635 = 3.375 KN

C) ATTACHED ARE THE DIAGRAMS