Concept explainers
Calculate the loads that is acting on the floor beam BE and girder AC.
Answer to Problem 1P
The uniformly distributed load acting on the floor beam BE is
The load acting at A, B, and C on the girder AC are
Explanation of Solution
Given information:
The building is a single-story building.
The building is subjected to uniformly distributed load of
Calculation:
Show the roof of the single-story storage building as shown in Figure 1.
Refer Figure 1.
The columns are denoted by A, C, D, and F.
The floor beam is denoted by BE.
The girders are denoted by AC and DF.
Show the tributary area of the floor beam BE as shown in Figure 2.
Refer Figure 2.
The tributary area of the floor beam BE is denoted by the shaded area.
Calculate the tributary area of the floor beam BE
The length of the floor beam BE is
Calculate the uniformly distributed load
Substitute
Show the uniformly distributed load acting on the floor beam BE as shown in Figure 3.
Refer Figure 3.
The reactions at B and E are denoted by
The loading on the floor beam BE is symmetrical.
Calculate the value of
Show the uniformly distributed load acting on the floor beam BE as shown in Figure 4.
Refer Figure 4.
Thus, the uniformly distributed load acting on the floor beam BE is
Show the tributary area of the girder AC as shown in Figure 5.
Refer Figure 5.
The tributary area of the girder AC is denoted by the shaded area.
Calculate the tributary area of the girder AC
Calculate the load
Substitute
The total load acting on the tributary area of the girder AC is
Almost half the load acts at the junction of the floor beam BE and the girder AC. Then,
The load acting at B is
The remaining half of the load acts equally on the column A and C. Then,
The load acting at A is
Show the load acting on the girder AC as shown in Figure 6.
Refer Figure 6.
The reactions at A and C are denoted by
The loading on the girder AC is symmetrical.
Calculate the value of
Show the load acting on the girder AC as shown in Figure 7.
Refer Figure 7.
Thus, the load acting at A, B, and C on the girder AC are