es226 past exam problems for exam 5 - … · ... bending moment in the beam below at point b and...

Spring 20XX CIRCLE FINAL ANSWERS!! ES226

1 of 9 PAST EXAM PROBLEMS (EXAM 5)

Name: _______________________ ES226 Exam 5

PAST EXAM PROBLEMS 50 Minute time limit.

1. (50 points) Draw the shear and bending moment diagrams for the beam, approximately to scale. Label the values of each at points A, B, and C. Be sure to have the proper shape for each segment of the diagrams.

Given: The beam supports a 10 kip load at B. The beam is supported by soil, which provides the distributed reaction shown.

10 kips

Soil Distributed Reaction

Beam A B C

10 feet 10 feet



1. (15 points) Determine the internal bending moment in the beam below at point B and specify whether the top or bottom of the beam is in compression. A is a pinned support. B is a roller support.

2. (10 points) Determine the internal bending moment at the midpoint of member BC. A and Care pinned supports. B is a pinned connection between AB and BC.

3. (35 points) Determine the internal normal force, shear force, and bending moment at point E. A and C are pinned supports.

B is a pinned connection between members AB and CB.

A Bw = 1000 lbs/ft.

12 feet 6 feet

w=1 kN/m



1. (45 points) Determine the magnitude of internal bending moment that is present at the location of the 60 kip point load and

specify whether this moment results in compression on the outside of the arch or on the inside of the arch (see below). Given: A and B are pinned supports. C is a hinge (pinned connection).

1. (50 points) Write the moment function M(x) for the beam below.

Given: Distributed load that increases linearly from 0 lb/ft at A to 1000 lb/ft at B. You must use the standard sign convention for internal moment (compression-on-top is considered to be positive). A is a fixed support. B is a free end.

2. (50 points) Draw the shear and bending-moment diagrams for the beam, using the standard sign conventions. Make the diagrams reasonably neat and reasonably to scale. A is a fixed support. C is a pinned connection between member ABC and member CDE. D is a roller support. E is a free end.

A B

w = 1000 lbs/ft

10 ft

x

2 kip/ft

5 ft 5 ft 7 ft 3 ft

7.071 kips

45º

A B C D

Note: 1 kip = 1000 lbs

E

A B

C

20 ft

M

M

Indicate Either:

M causes compression on the

outside of the structure

M causes compression on the

inside of the structure



(45 points) Determine the magnitude of internal bending moment that is present at the location of the 60 kip point load and specify whether this moment results in compression on the outside of the arch or on the inside of the arch (see below).

Given: A and B are pinned supports. C is a hinge (pinned connection).



1. (50 points) Write the moment function M(x) for the beam below.

Given: Distributed load that increases linearly from 0 lb/ft at A to 1000 lb/ft at B. You must use the standard sign convention for internal moment (compression-on-top is considered to be positive). A is a fixed support. B is a free end.



2. (50 points) Draw the shear and bending-moment diagrams for the beam, using the standard sign conventions. Make the diagrams reasonably neat and reasonably to scale. A is a fixed support. C is a pinned connection between member ABC and member CDE. D is a roller support. E is a free end.

es226 past exam problems for exam 5 - … · ... bending moment in the beam below at point b and...

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