C.E. 321- W 96

Mid Term Exam 3

April 1 - April 5, 1996

_______________________ _____________________

Name Score

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Date/Time Picked up Date/Time Returned Location

This exam is open book (your textbook only) and open notes, however it must be an individual effort, no help can be sought or used from anyone else.

1. Use Method of Consistent Displacements (Force Method) (25 points)

Determine the reactions and draw shear and moment diagrams for the two-span beam shown below. Assume the reaction at B to be the redundant. E and I are constant.

20 Kip

3 Kip/ft

10 ft

20 ft 25 ft

Note: the 3rd Beam deflection equation on first page of Hibbler is in error, it should read:

n = -(Pbx)/(6LEI) [ L2 - b2 - x2 ]

2. Use Three Moment Equation (25 points).

Develop the shear and moment diagrams for the structure shown below, E and I are the same in each span

2 Kip/ft 20 Kip

A B C D

10' 10' 10' 10'

3. Use Slope Deflection Equations (25 Points)

Find the moments at points B and C, E and I are the same in each span.

2 Kip/ft 20 Kip

A B C D

25' 25' 15' 10'

4. Use Moment Distribution (25 points)

A

I=144 in4

8' 4 kip

5'

C D

B

I=180 in4 I=240 in4

12' 2 Kip

I=108 in4

6'

E

10' 10'

Develop the initial part of a moment distribution table - the member stiffness, the distribution factors, the fixed end moments, and the carryover factors