A simply supported beam with a length of 21 feet with loading is shown below. The uniform load has a magnitude of 420 pounds per foot (plf). The point loads each have a magnitude of 6 kips. The point loads are located at 1/3 points of the beam (i.e. 7 feet from each end of the beam). Determine: a. Location and magnitude of maximum moment b. Maximum shear c. Location and magnitude of maximum deflection. E = 1.8 x106 psi. I = 3000 in4 .
A simply supported beam with a length of 21 feet with loading is shown below. The...
A steel beam is simply supported over a span of 20 feet and carries a total design point load of 6 kips at the center of the span. The moment of inertia (1) for the beam is 245 in4. Neglecting the beam weight, the maximum load deflection of the beam is with a point load in.(Fill in the blank and show calculation below) Show equation(s) used and calculation(s): A steel beam is simply supported over a span of 20 feet...
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 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...
A simply supported 2 x 4 beam spans 10 feet. It is designed to handle two equal concentrated loads of 200 lbs. The loads occur at 30" from each end. The beam is made of Douglas Fir (Young's Modulus 1.95 x 105 PSI). Assume that the beam is oriented in the proper direction to minimize stress. Don't forget to use actual dimensions instead of nominal dimensions. 2. a. b. c. d. e. Calculate the maximum shear force. Calculate the maximum...
Name ind the deflection at point B in the middle of the simply supported beam. Watch your units; use pounds and inches. 3.60 kips/foot 3.60 kips/foot E = 29,000,000 PSI 8in 4 ft 3 in HINT: 124/2
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...
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
3. A simply supported beam is loaded as shown. Determine the maximum deflection of the beam, and slope at A. Use any of the three methods: 1) double integration, 2) moment-area, or 3) conjugate beam 5k 5K (20) DJ E = 29x10° psi I = 600 in4 klokt kloft * loft &
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
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.