Q1. On figure above, Use the slope-deflection method to:
a- calculate the support reactions in the beam shown below
b- calculate the sheare force and binding moment
c- draw the binding moment and shear force digram
Q2.
By using moment distribution,Determine the support reactions in the continuous beam ABCD,
Determine the bending moment and shear force and draw the diagram for them
Use the technique below to solve this question:
Step.1
Stiffness of a member (k)
Stiffness of AB = kAB =
• Stiffness of BC = kBC =
• Stiffness of CD = kCD =
Step.2
Distribution factor (DF)
• DFBA =
• DFBC =
• DFCB =
• DFCD =
Step.3
Fixed-end moments (FEM)
Member AB
MAB =
MBA =
Member BC
MBC =
MBC =
Member CD
MAB =
MBA =
Step.4
Make table for your question as the table on different example below :
Finally, draw the diagram for bending moment and shear force.
Q3.
On the figure below
The composite bar shown in the figure below is initially unstressed The coefficien unit temperature change, respectively, while the corresponding values of Young`s modulus are ES and EA.
a- If the temperature of the bar is reduced by an amount of T uniformly along its length, find an expression for the tensile stress induced.
b- If the temperature of the bar is increased by an amount of T uniformly along its length, find an expression for the tensile stress induced.
