structures HOMEWORK 1 Due Feb 2 1 35 points Classify each st

structures

HOMEWORK #1 Due: Feb 2 1. (35 points) Classify each structure shown below as unstable externally, statically determinate extemally, or statically indeterminate externally. If the structure is statically indeterminate extenally, determine the degree of external indeterminacy fixed hinge roller internal hinge 0- 0)

Solution

a) Structure is unstable externally. Because only two vertical reactions are there. horizontal unstability.

This is statically determinate.

b) Structure is unstable externally. Because only vertical reactions are there. No horizontal reactions. horizontal unstability will ocure.

This is statically indeterminate.

D.O.I = 4-3 =1

c) Structure is stable externally.

This is statically determinate. D.O.I = 3+2-3-1-1=0

d)Structure is stable externally.

This is statically indeterminate. D.O.I = 3+2-3-1=1.