4. (12 points) Replace the distributed load on the beam with a statically equivalent concentrated force and determine the location of that force with respect to point B. T equation of the parabol...
The location of the equivalent concentrated force to the triangular distributed load shown, measured from the right support is: 100 N/m 12 m 3 m 4m 6 m 7 m 8 m
Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A.
Replace the loading on the beam by an equivalent resultant force and specify its location measured from point A. (b) Calculate the value of the reactions at support A and support B. (c) calculate the shear, normal force, and bending moment at a point 1.5 m to the right of A. (d) Same as (c) but at a point 0.5 m to the right of B. The system is in equilibrium.
engineering mechain Problem-1: (20 points) A cantilever beam is supported by a distributed load, concentrated load and moment as shown in the figure. Use wo= 1 kN/m and L=12 m. Determine the following: a. Write down the equation of shear force and bending moment for the portion of the beam from A to B. b. Draw the shear force diagram for the entire beam c. Draw the bending moment diagram for the entire beam d. What is the shear force...
a) Replace the loading acting on the beam by an equivalent force and a couple moment at point A b) Show the equivalent force Fr, its two components, the angle e, and the moment on an xy coordinate where A is the origin of the xy axis. 3 kN 2.5 kN 1.5 kN 1. 2m 4 m - 2 m
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa F- 8 kNN 8cm 3cm 3cm w- 6 kN/m 6cm 2cm Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and B in terms of Ro 2) Using the boundary conditions, calculate the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
Distributed loading on chapter 4 of the book entitled A First Course in the Finite Element Method. I would like to know how do they get the moment? Further more on example 4.3 equation 4.3.21. How to do we solve it simultaneously? Pigure 4-22. These reaction enera, fixed-end reactions are those reactions at the e end reactio if the ends of the element are assumed to be fixed-that is, if displacements prevented. (Those of you who are unfamiliar with the...
Po = sokN q=80kN/m A 4 m long beam is subjected to a concentrated force Po = 50 kN, a concentrated couple, Mo = 100 kN, and a triangularly distributed load starting at qo = 80 kN/m as shown. X А. B A Mo = 100km (a) Find the shear, V(x) and moment M(x) as functions of x. (b) Construct accurate shear and moment diagrams. (c) Calculate the location Xmax of the maximum moment and its absolute magnitude Mmax. 1m...