a simply supported beam abcd with arectangular cross section carries the loading shown in figure. the uniform beam has a mass of 33 kg per meter (m kg/m) and a cross section as shown in the figure. you may take 10 m/s^2 as acceleration.
Question A2
A simply supported beam ABCD with a rectangular cross-section carries the loading shown in Figure QA2. The uniform beam has a mass of m kg per meter of length (m kg/m) and a cross-section as shown in Figure QA2. You may take 10 m/s as the acceleration of gravity in this question. Take m as the last two digits of your student id number in kg/m (for example 13061789 would become 89 kg/m and 08044705 would become 5 kg/m).
a) Write the different shear force equations for the beam in between each letter shown in Figure QA2 (3 marks)
b) Plot the Shear Force diagram using the values obtained. (2 marks)
c) Write the different bending moment equations for the beam in between each letter shown in Figure QA2 (7 marks)
d) Plot the Bending Moment diagram using the values obtained (4 marks)
e) Determine the value of the maximum bending moment and its location. (2 marks)
f) Determine the second moment of area / of the beam in m (3 marks)
g) Determine the magnitude and location of the maximum bending stress in the beam. (4 marks)
a simply supported beam abcd with arectangular cross sectioncarries the loading shown in figure. 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
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
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.
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...
5. (20 Points) For the loading on the simply supported beam shown below. a) What is the internal shear and bending moment at point C? b) Given the beam has a rectangular cross section with a width of 8 in. and a height of 20 in., find the maximum normal stress (om) in the cross section at C from the bending moment calculated above. 600 lb 200 lb/ft
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported at D, while point B is roller-supported. Determine the support reactions. b) For span BC (2<x< 4) write down the x-dependent equation for moment. x should be measured from cnd A. Plot the shear force diagram and the bending moment diagram for the beam. Show all important values of the diagrams. d) Plot the deflected shape of the beam. c) 50KN 40kN/m 25kNm 20kN/m...
The simply supported beam shown in Figure 1 is pin-supported at A and roller-supported at D. la) Replace the distributed loads in Figure 1 by an equivalent resultant force and locate its location with respect to A. {2 + 3 marks 1b) Calculate the reactions at supports A and D. {2 marks 1c) Calculate the shear force and bending moment at point C. {4 marks) 15 kN/m 6 kN/m D B q 3.0 m 3.0 m 3.0 m Figure 1
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and a concentrated load, F, as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected a) Draw the free body diagram for the beam, showing all the applied and reaction forces. Find the reaction forces F=14 kN .6m b) Give the expression for the shear force, V- V(x), and the bending moment M M(x),...
Part 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.) Let a=1.750 m, b=5.75 m, PA = 75kN, and Pc = 80kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Calculate the reaction forces B, and D, acting...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed load over its entire 1.2m length. Specify the maximum allowable load if the beam is made from malleable iron, ASTM A220, class 80002. The allowable tensile stress is 164 MPa and allowable compressive stress is 412 MPa. The centroid of the section is located at 35 mm from the bottom and moment of inertia are Ix = 2.66 x 10 mm". (a) Draw loading...