roblem # 1 A simply supported beam 30 ft long is prestressed by a straight tendo

roblem # 1
A simply supported beam 30 ft long is prestressed by a straight tendon that carries an effective force of 233 kips. The rectangular beam is 10 in. wide and 20 in. deep and the eccentricity of the prestressing force is 4 in.
A. Calculate the maximum mid-span service moment the beam can support for the allowable stresses listed in the table below:
Compressive Stress (psi)
Tensile Stress (psi)
2,700
0
3,600
0
2,700
580
3,600
580
B. Draw a neat sketch to indicate the location of the center of the compression force and its distance from the tensile force. What conclusions can you draw?
C. Repeat parts A and B but for the maximum service moment but at a location distant 25 in. from the support.

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