all assignments

1 Dr. Osama Baalbaki & Eng. Nour Wehbi–Dept. of Civil Engineering,

Beirut Arab University-Debbieh Campus

Elementary Structural Analysis, CVLE 212

Dept. of Civil and Environmental Engineering


Assignment I

Problem I

The second floor of light manufacturing building is made of 5inch

thickness stone concrete slab with added 4 inch thickness cinder concrete

fill. If the suspended ceiling of the first floor consists of metal lath and

gypsum plaster, then it is required to:

Calculate the total dead load acting in pounds per square foot of floor

area. (Material densities are provided in your lecture).

Problem II

A steel framework is used to support 4inch thickness reinforced stone concrete

slab that carries a uniform live load of 500lb/ft2.

It is required to:

Sketch the loading that acts along member BE and FED for:

a) a=7.5ft and b=10ft

b) a=4ft and b=12ft




Problem III (Very important)

The floor system used in a school classroom consists of a 120mm thick

reinforced concrete slab.

Given:

SDL=1.6kN/m2

LL=3.2kN/m2

Concrete specific weight is 25kN/m3

a- Sketch and calculate the loading that acts along the beam DF and

edge beam AM.

b- Sketch and calculate the loading that acts along the side girder

ABCDE.

Note: beam-girder and girder-column are treated as pinned connections




Dept. of Civil Engineering

Elementary Structural Analysis

Assignment II

Problem I

a) Classify each of the structure shwon below as statically

determinate or statically indeterminate.

b) Check for each case the stability.

c) If statically determinate or statically internaly indeterminate,

calculate ONLY the reaction at support A.

-1- -2-

-3- -4-




-6-

Problem II

Given for the following structure;

A concentrated load of 150 kN is perpendicular to the member AB

A uniform distributed load of 50 kN/m acts fully on member BC

A, B and C are roller supports.

is variable measured from the vertical line as shown.

a- Set Calculate the reactions at the supports

b- There is ONLY one value for to make the structure unstable.

What is the value for in this case?

150 kN

C B

A

3.84m

𝜃

50 kN/m 4

3

8m 4.8m






Assignment III

1-a. Determine the internal shear, axial load, and bending moment in the

beam at points C and D. Assume the support at B is a roller. Point C is located

just to the right of the 40-kN load.

1-b. Draw the shear and moment diagrams for the beam shown in figure.

2. Determine the internal shear, axial force, and bending moment in the beam

at points C and D. Assume the support at B is a roller. Point D is located just to the

right of the 50-kN load.

3. Determine the internal shear, axial load, and bending moment at point C,

which is just to the right of the roller at A, and point D, which is just to the left of the

15-kN concentrated force.




4-a. Determine the shear and moment in the floor girder as a function of x,

where 4 m < x < 8 m. Assume the support at A is a pin and B is a roller.

4-b. Draw the shear and moment diagram of the floor girder. Assume there is a

pin at A and a roller at B.

4 kN 4 kN 4 kN 4 kN

5-a. Determine the internal shear, axial load, and bending moment at point C.

Assume the support at A is a pin and B is a roller.

5-b. Draw the shear and moment diagrams of the beam in shown in figure.

6. Draw the shear and moment diagrams for the beam, and determine the shear

and moment throughout the beam as functions of x.






Assignment IV Draw the straining action Diagrams for the compound hinged beams shown, i.e N.F.D, S.F.D and B.M.D

100 kN 30 kN/m






Assignment V

1- Draw the normal N.F.D, shear S.F.D and moment B.M.D for each member of the frame. Assume pin support at A and roller at support D.

2- Draw the normal, shear and moment diagrams for each member of the frame. Assume fixed support at A, internal pin at joint B, and roller support at C.

3- Draw the normal, shear and moment diagrams for each member of the frame. Assume the frame is pin connected at A, C, and D, however rigid joint at B.

1






Assignment VI

For the structures shown in the accompanying figures, calculate the

reactions and draw the internal forces diagrams, N.F.D , S.F.D, and

B.M.D

1






Assignment VII

Problem I

Draw the influence lines for vertical reactions at supports B and D and the shear and

bending moment at point C of the beams shown in the following Figures. Determine

also in each beam, the maximum positive and negative shears and the maximum

positive and negative bending moments at point C due to a concentrated live load of

70kN, a uniformly distributed live load of 30kN/m, and a uniformly distributed dead

load of 30kN/m. Use in this problem both methods of analysis “equilibrium and

virtual work concept”

Problem II Draw the influence lines for the vertical reactions at supports A and

E and the reaction moment at support E of the beams shown in the

following Figures. Determine also in each beam, the maximum

positive shear and bending moment at point B due to the shown

truck loadings.

100kN 80kN 60kN

5m 5m 5m

5m 5m 5m 5m