SOLUTION
1.
The beam in question is 410UB59.7. Thus it is a beam of length of 5 m as mentioned in the figure of the question. The weight of the beam is 585.06N(=59.7).
Total force acting on the beam in vertically downward direction=.
Maximum Vertical Shear =27925.3N.
The reaction forces, R1=R2= (25585.06/2)N=13962.65N.
Area of the cross-section=7640=7.64
Shear Stress=== Kpa=3.65Mpa.
Maximum bending moment= (13962.65) Nm=34906.625Nm in the direction as shown in the figure above.
Bending stress=Mpa
Deflection===0.09125mm
The Forces F shown in the above diagram would be equal to the reaction forces(we have cut the beam hypothetically to show the internal forces and the moment).
2.The beam in question is 400 Oregon. Thus, it is a beam of length of 5 m as mentioned in the figure of the question.
Mass of the timber=550 Kg=110 kg
The weight of the beam is 1078N(=110).
Total force acting on the beam in vertically downward direction=.
Maximum Vertical Shear =26078 N.
The reaction forces, R1=R2= (26078/2)N=13039 N.
Area of the cross-section= (400=0.04
Shear Stress=== 651950 pa=0.652 Mpa.
Maximum bending moment= ( ) Nm=32597.5 Nm in the direction as shown in the figure above.
Bending stress=Mpa
Deflection===0.472 mm
3. The beam in question is 180UB18.1. Thus, it is a beam of length of 6 m as mentioned in the figure of the question.
Mass of the timber=18.1 Kg=108.6 kg
The weight of the beam is 1064.28N(=108.6).
Total force acting on the beam in vertically downward direction=.
Maximum Vertical Shear =16064.28 N.
The reaction forces, R1=R2= (16064.28/2) N=8032.14 N.
Area of the cross-section= 2.3
Shear Stress=== 6984.34 Kpa=6.98Mpa.
Maximum bending moment= ( ) Nm=24096 Nm in the direction as shown in the figure above.
Bending stress=Mpa
Deflection===0.2094 mm
Reference:
1. Ferinand P. Beer,E. RusselJhonston and Elliot R. Eisenberg,Vector Mechanics for Engineers Statics
2. Raymond A. Serway and Jerry S.Faughn, College Physics
LG60
But you can order it from our service and receive complete high-quality custom paper. Our service offers SCIENCE essay sample that was written by professional writer. If you like one, you have an opportunity to buy a similar paper. Any of the academic papers will be written from scratch, according to all customers’ specifications, expectations and highest standards.”
