Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
bartleby

Concept explainers

Question
100%
Chapter 2, Problem 1P
To determine

Calculate the loads that is acting on the floor beam BE and girder AC.

Expert Solution & Answer
Check Mark

Answer to Problem 1P

The uniformly distributed load acting on the floor beam BE is 3.84kN/m_.

The load acting at A, B, and C on the girder AC are PA=5.76kN_, PB=11.52kN_, and PC=5.76kN_.

Explanation of Solution

Given information:

The building is a single-story building.

The building is subjected to uniformly distributed load of wUDL=0.96kPa.

Calculation:

Show the roof of the single-story storage building as shown in Figure 1.

Structural Analysis, Chapter 2, Problem 1P , additional homework tip  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.

Structural Analysis, Chapter 2, Problem 1P , additional homework tip  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 (A1) as follows:

A1=4m×6m=24m2

The length of the floor beam BE is L=6m.

Calculate the uniformly distributed load (W1) acting on the floor beam BE as follows:

W1=wUDL×A1L

Substitute 0.96kPa for wUDL, 6m for L and 24m2 for A1.

W1=0.96kPa×24m26m=3.84kN/m

Show the uniformly distributed load acting on the floor beam BE as shown in Figure 3.

Structural Analysis, Chapter 2, Problem 1P , additional homework tip  3

Refer Figure 3.

The reactions at B and E are denoted by RB and RE respectively.

The loading on the floor beam BE is symmetrical.

Calculate the value of RB and RE using the relation:

RB=RE=3.84kN/m×6m2RB=RE=11.52kN

Show the uniformly distributed load acting on the floor beam BE as shown in Figure 4.

Structural Analysis, Chapter 2, Problem 1P , additional homework tip  4

Refer Figure 4.

Thus, the uniformly distributed load acting on the floor beam BE is 3.84kN/m_.

Show the tributary area of the girder AC as shown in Figure 5.

Structural Analysis, Chapter 2, Problem 1P , additional homework tip  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 (A2) as follows:

A2=8m×3m=24m2

Calculate the load (W2) acting on the girder AC as follows:

W2=wUDL×A2

Substitute 0.96kPa for wUDL and 24m2 for A2.

W2=0.96kPa×24m2=23.04kN

The total load acting on the tributary area of the girder AC is 23.04kN.

Almost half the load acts at the junction of the floor beam BE and the girder AC. Then,

The load acting at B is 11.52kN.

The remaining half of the load acts equally on the column A and C. Then,

The load acting at A is 5.76kN and the load acting at C is 5.76kN.

Show the load acting on the girder AC as shown in Figure 6.

Structural Analysis, Chapter 2, Problem 1P , additional homework tip  6

Refer Figure 6.

The reactions at A and C are denoted by RA and RC respectively.

The loading on the girder AC is symmetrical.

Calculate the value of RA and RC using the relation:

RA=RC=(5.76+11.52+5.762)kNRA=RC=11.52kN

Show the load acting on the girder AC as shown in Figure 7.

Structural Analysis, Chapter 2, Problem 1P , additional homework tip  7

Refer Figure 7.

Thus, the load acting at A, B, and C on the girder AC are PA=5.76kN_, PB=11.52kN_, and PC=5.76kN_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
The roof of a single-story storage building, shown in Fig. P2.1, is subjected to a uniformly distributed load of 0.96 kPa over its surface area. Determine the loads acting on the floor beam BE and the girder AC of the framing system.
The roof system of an office building consists of a 4-in.- thick reinforced concrete slab resting on four steel beams (A ¼ 16:2 in.2), which are supported by two steel girders (A = 42:9 in.2). The girders, in turn, are supported by four columns, as shown in Fig. P2.8. Determine the dead loads acting on the girder AG.
The floor system of a gymnasium consists of a 130- mm-thick concrete slab resting on four steel beams (A = 9,100 mm2) that, in turn, are supported by two steel girders (A = 25,600 mm2), as shown in Fig. P2.7. Determine the dead loads acting on beam BF and girder AD.
Knowledge Booster
Civil Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • The floor system of an apartment building consists of a 4 in. thick reinforced concrete slab resting on three steel floor beams, which in turn are supported by two steel girders, as shown in Fig. P2.5. The areas of cross section of the floor beams and the girders are 18.3 in.2 and 32.7 in.2 , respectively. Determine the dead loads acting on the beam CD and the girder AE.
    A building's entrance canopy is constructed as a fixed slab attached to one of its longer sides. The slab has dimensions of 2.50 m x 6 m and a thickness of 225 mm. It is designed to bear various loads, including a uniform live load of 2000 Pa, a uniform dead load of 5000 Pa (excluding the weight of the slab itself), and a concentrated dead load of 5000 N per meter applied at the far end of the support. The design of the slab ensures that the main bars are oriented parallel to the shorter span. The specified design properties include a compressive strength (fc') of 21 MPa, a yield strength (fy) of 345 MPa, 16-mm-diameter main bars, 10-mm-diameter temperature bars, and a clear cover of 20 mm. The unit weight of the concrete is 23,544 N/m3.Find: 1. Determine the spacing of the main bars in mm 2. Determine the spacing of the temperature bars in mm
    The floor system of an apartment building consists of a 4-inch-thick reinforced concrete slab resting on three steel floor beams, which are in turn supported by two steel girders, as shown below. The areas of cross section of the floor beams and the girders are 18.3 in.2 and 32.7 in.2, respectively. Determine the dead load acting on the beam CD if a 6-inch-thick brick wall, which is 7 ft high and 25 ft long, bears directly on the top of beam CD.
    • SEE MORE QUESTIONS
    Recommended textbooks for you
  • Structural Analysis
    Civil Engineering
    ISBN:9781337630931
    Author:KASSIMALI, Aslam.
    Publisher:Cengage,
  • Structural Analysis
    Civil Engineering
    ISBN:9781337630931
    Author:KASSIMALI, Aslam.
    Publisher:Cengage,