oints) The beam shown in the figure below is in supported at A and simple su...
QUESTION 1 [15] For the simply supported beam subjected to the loading shown in the figure, a) Derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) b) Report the maximum positive bending moment, the maximum negative bending moment, and their respective locations. 36 KN 180 KN-m X B C D 4 m 5 m 3 m Figure 1
4. Use singularity function method to solve the problem. The cantilever beam has modulus of elasticity E and bending moment of inertia I. (1) Draw the free body diagram of the beam (2pts). (2) Find the reactions at the supports (3pts). (3) Find the loading (intensity of load) of the beam in singularity function form (4 pts). (4) What is the vertical shear function like? (4pts) (5) Houw much is the moment? (4pts) (6) Express the elastic curve of the...
The beam is loaded as shown in the diagram below. The beam is uniformly loaded at 3 kN/m for the length of 4 m from B. The beam also has two point loads, 4 KN at 2 m from A and 3 KN at 3 m from B. 2 KN 3 KN 3KN/m A 2 m 2 m 11 m 3 m Fig. Q2 Draw a shear force and bending moment diagram. Also determine the location of maximum bending moment...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
Shear force and bending moments of the beam.
For the simply supported beam subjected to the loading shown in Figure P7.8 derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) plot the shear-force and bending-moment diagrams for the beam, using the derived functions. report the maximum positive bending moment, the maximum negative bending moment, and their respective locations.
A beam with simple supports as shown below has external loading of three point loads and two different uniformly distributed loads. For this beam: a. Calculate reactions at points C and D b. Derive the equations (only), as a function of x, of both Shear Force and Bending Moment between points C and D only c. Construct complete Shear Force (V) and Bending Moment (M) diagrams for the entire beam, and graph them on the lines shown below. Make sure...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
1. For the simply supported beam subjected to the loading shown, Derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) a. b. Plot the shear-force and bending-moment diagrams for the beam using the derived functions c. Report the maximum bending moment and its location. 42 kips 6 kips/ft 10 ft 20 ft
Consider the simply supported beam shown in the figure below. Let x be the distance measured from left end of the beam. 1. Determine the vertical reactions at A and C 2. Write the equations for shear and moment for the section of the member between B and C. 3. Draw the shear and moment diagrams for the entire beam, specifying values at changes in loading and locations where the shear is 0. 48 KN 8 kN/m UT 24 kN-m...
Draw a free-body diagram of the forces acting on the simply supported beam shown in Sketch u,
with wo = 6 kN/m and l = 10 m. Use singularity functions to draw the shear force and bending
moment diagrams.