60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the...
description
Transcript of 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the...
![Page 1: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/1.jpg)
60 kN
100 kN
130 kN
Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent force system below
5
12
3
4
![Page 2: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/2.jpg)
A25 kN
25 kN19 kN
10 kN2 m
2 m
2 m 3 m
Q2. Calculate the net moment about point A due to the forces shown below
![Page 3: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/3.jpg)
1. Types of Supports2. Types of Beams3. Calculate Reactions4. Draw/sketch Shear Force
Diagram(SFD)5. Draw/sketch Bending Moment
Diagram(BMD)
![Page 4: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/4.jpg)
Beam is the most common structural member and carries transverse load
They are sometimes referred by other names, indicative of some specialized function such as girder (penopang),stringer, purlins or joists.
The concepts of shear and bending in statically determinate beam only.
![Page 5: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/5.jpg)
![Page 6: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/6.jpg)
![Page 7: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/7.jpg)
![Page 8: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/8.jpg)
![Page 9: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/9.jpg)
![Page 10: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/10.jpg)
![Page 11: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/11.jpg)
![Page 12: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/12.jpg)
![Page 13: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/13.jpg)
![Page 14: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/14.jpg)
![Page 15: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/15.jpg)
![Page 16: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/16.jpg)
1) Load Deflection is directly proportional to the
load
2) Span Deflection is proportional to the cube of the
span
![Page 17: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/17.jpg)
3) Size and shape of beam The greater the size of beam, the less the
deflection. Deflection is inversely proportional to the
moment of inertia
4) Stiffness of material The stiffer the material, the greater its
resistance to bending, the less will be the deflection.
Table 11.1 Values of coefficient c for deflection formula δ=cWl3/EI
![Page 18: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/18.jpg)
A 406 x 178 UB 54 is simply supported at the ends of a span of 5 m carries a uniformly distributed load of 60 kN/m. Calculate the maximum deflection given E = 205 000 N/mm2
![Page 19: 60 kN 100 kN 130 kN Q.1 Determine the magnitude, sense, and direction of the resultant of the concurrent…](https://reader036.fdocuments.in/reader036/viewer/2022062414/5a4d1be87f8b9ab0599e315c/html5/thumbnails/19.jpg)
From Table 11.1δ = 5Wl3/384 EI where W = 60 x 5 = 300 kN
= 3 x 105 Nl = 5000 mmE = 205 000 N/mm2
I = 164.6 x 106 mm4
δ = (5/384) x {(300 000 x 125 x 109)/ (205 000 x 164.6 x 106)}
= 14 mm