(Book Solutions) F4-8, Structural Analysis by R C Hibbeler, chapter- Internal Loadings Developed in Structural Members – Determine the internal shear and moment in the beam as a function of x.

Problem:

(F4-8, Structural Analysis by R C Hibbeler, chapter- Internal Loadings Developed in Structural Members)

Determine the internal shear and moment in the beam as a function of x.

Solution:

Check the book Solution Manual: Book Solutions for Structural Analysis by R C Hibbeler.

As per the Conditions of Static Equilibrium of the Structural Element:

• ∑F_y = 0
• ∑F_x = 0
• ∑M = 0

End support reactions are:

• Vertical Reactions, RA = 12.0 kN
• and RB = 24.0 kN

In between A and B, for 0.0m ≤ x ≤ 6.0m:

• Shear, V_x = 12.0 – 1.0x²
• Moment, M_x = -0.334x³ + 12.0x

Maximum positive Bending Moment, M_max = 27.713 kN-m

at x = 3.464 m from the left end.

Check the book Solution Manual: Book Solutions for Structural Analysis by R C Hibbeler.