Concept explainers
Find the dead loads acting on the girder AE and beam CD.
Answer to Problem 6P
The dead load acting on the beam CD is
Dead load in Girder AE:
The dead load at C, A, and E are
The uniformly distributed load in the girder AE is
Explanation of Solution
Given information:
The thickness of the reinforced concrete slab is
The area of cross-section of the steel floor beam is
The area of cross-section of the steel girder is
The length, height, and thickness of the brick wall are
Calculation:
Show the floor systemof the building as shown in Figure 1.
Refer Figure 1.
The tributary area of the beam CD is represented by the shaded region.
Tributary area of the beam CD:
The width of the tributary area of the beam CD is
The width of the tributary area of the beam CD is same as the length of the beam CD. Then,
The length of the tributary area of the beam CD is
The thickness of the concrete slab is
Refer Table 2.1 “Unit Weights of Construction Materials” in the text book.
The unit weight of the reinforced concrete is
The unit weight of the structural steel is
The unit weight of the brick wall is
Calculate the dead load per unit length of the beam CD as follows:
Concrete Slab:
Calculate the dead load of the concrete slab using the relation:
Substitute
Steel beam:
Calculate the dead load of the steel beam using the relation:
Substitute
Calculate the dead load of the brick wall using the relation:
Calculate the dead load of the beam CD as follows:
The dead load of
Show the dead load acting on the beam as shown in Figure 2.
Refer Figure 2.
The reaction at C and D are denoted by
The dead load on the beam is symmetrical. Then,
Show the dead load acting on the beam as shown in Figure 3.
Refer Figure 3.
Thus, the dead load acting on the beam CD is
Show the floor system of the building as shown in Figure 4.
Refer Figure 4.
Tributary area of the girder AE:
The width of the tributary area of the girder AE is
The width of the tributary area of the girder AE is same as the length of the girder AE. Then,
The length of the tributary area of the girder AE is
The thickness of the reinforced concrete slab is
Calculate the dead load per unit length of the girder AE as follows:
Steel beam:
Calculate the dead load of the girder AE using the relation:
Substitute
Concentrated load at A and E.
Show the tributary area of column at A and E as shown in Figure 5.
Refer Figure 5.
The tributary area of column at A and E are Equal.
The tributary area of column at A and E are
Calculate the concentrated load (P) at the column A and E the using the relation:
Substitute
Refer Figure 3.
The concentrated load at the column C is
Show the loading on the girder AE as shown in Figure 6.
Refer Figure 6.
The reaction at A and E are denoted by
The dead load on the beam is symmetrical. Then,
Show the loading on the girder AE as shown in Figure 7.
Refer Figure 7.
The dead load at C, A, and E are
The uniformly distributed load in the girder AE is
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Chapter 2 Solutions
Structural Analysis, Si Edition
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