4. A steel beam, with square cross-section of side 10 mm and a simply supported length of 8.0 m from points A to B, has a rigid vertical rod attached at its midspan. This rod connects the beam to a hydraulic jack system as shown in Figure 3. Attached at the lower end of the rigid vertical rod is a rigid plate of diameter 30 cm. This plate serves as a stopper on one end of the hydraulic system containing a liquid with a specific gravity of 0.45. At the opposite end of the hydraulic system, which is 0.10 m higher, another rigid plate, having a diameter of 2.0 m, rests on top of the liquid. At its center, a 50 N concentrated force is applied. Considering the weight of the beam as uniformly distributed all throughout (use density of steel as Pateet = 7850 kg/m³), while neglecting the weights of the rigid plates and the rigid rod, (a) determine the reactions at supports A and B. (b) Draw the shear and bending moment diagram of the beam. Obviously, you don't need to enclose the diagrams in a box, right? 8,00 m P= 50 N B 0.10 m S.G. = 0.45 Figure 3. Beam-Hydraulic Jack System

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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4. A steel beam, with square cross-section of side 10 mm and a simply supported length of 8.0 m from
points A to B, has a rigid vertical rod attached at its midspan. This rod connects the beam to a
hydraulic jack system as shown in Figure 3. Attached at the lower end of the rigid vertical rod is a rigid
plate of diameter 30 cm. This plate serves as a stopper on one end of the hydraulic system containing
a liquid with a specific gravity of 0.45. At the opposite end of the hydraulic system, which is 0.10 m
higher, another rigid plate, having a diameter of 2.0 m, rests on top of the liquid. At its center, a 50 N
concentrated force is applied. Considering the weight of the beam as uniformly distributed all
throughout (use density of steel as Pateet = 7850 kg/m³), while neglecting the weights of the rigid
plates and the rigid rod, (a) determine the reactions at supports A and B. (b) Draw the shear and
bending moment diagram of the beam.
Obviously, you don't need to enclose the diagrams in a box, right?
8.00 m
P- 50 N
0.10 m
S.G. = 0.45
Figure 3. Beam-Hydraulic Jack System
Transcribed Image Text:4. A steel beam, with square cross-section of side 10 mm and a simply supported length of 8.0 m from points A to B, has a rigid vertical rod attached at its midspan. This rod connects the beam to a hydraulic jack system as shown in Figure 3. Attached at the lower end of the rigid vertical rod is a rigid plate of diameter 30 cm. This plate serves as a stopper on one end of the hydraulic system containing a liquid with a specific gravity of 0.45. At the opposite end of the hydraulic system, which is 0.10 m higher, another rigid plate, having a diameter of 2.0 m, rests on top of the liquid. At its center, a 50 N concentrated force is applied. Considering the weight of the beam as uniformly distributed all throughout (use density of steel as Pateet = 7850 kg/m³), while neglecting the weights of the rigid plates and the rigid rod, (a) determine the reactions at supports A and B. (b) Draw the shear and bending moment diagram of the beam. Obviously, you don't need to enclose the diagrams in a box, right? 8.00 m P- 50 N 0.10 m S.G. = 0.45 Figure 3. Beam-Hydraulic Jack System
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