Two simply supported beams are made up of the same material and are of the same cross-section. Both beams carry uniformly distributed loads of equal intensities. One beam is 2 m long and the other is 4 m long. The 2 m long beam shows a central deflection of 1 mm. What is the central deflection of the 4 m long beam? (a) 16 mm (c) 8 mm (b) 2 mm (d) 1 mm

Two simply supported beams are made up of the same material and are of the same cross-section. Both beams carry uniformly distributed loads of equal intensities. One beam is 2 m long and the other is 4 m long. The 2 m long beam shows a central deflection of 1 mm. What is the central deflection of the 4 m long beam? (a) 16 mm (c) 8 mm (b) 2 mm (d) 1 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Analyze the cantilever beam shown: Determine the deflection at the free end, if EI = 2000 kN.m2 Determine the deflection at 3 meters from the fixed support along the beam, if EI = 2000 kN.m2
A cantilever beam 3 m long carries a uniformly varying load zero at fixed to 1200 N/m at free end. Assume that E = 10 GPa and I = 30 x 10x10⁶ mm⁴. 1. Which of the following most nearly gives the deflection at free end? a. 21.4 mm b. 29.7 mm c. 38.1 mm d. 18.5 mm 2. Which of the following gives the deflection at a section 2 m from fixed end? a. 10.5 mm b. 20.3 mm c. 16.4 mm d. 14.8 mm 3. Which of the following gives the rotation at a section 2 m from fixed end? a. 0.421° b. 0.914° c. 0.739° d. 0.614°
A 5 m simple supported rectangular beam has a dimension of b = 150 mm and d = 350 mm is subject to a uniform load of 15 kN/m. a.) Which of the following will give the maximum moment of beam?b.) Which of the following will give the moment of inertia of the rectangular beam along x-axis?c.) Which of the following will give the value of “c” or the location of NA from extreme fiber?d.) Which of the following will give the maximum bending moment of the beam?
A concentrated load, P is appied at the center of a simply supported beam with length, l. What is the maximum deflection of the beam in millimeters? P = 37 kN l = 8 m EI = 18000 kNm2
A circular beam carries a concentrated and a distributed load as shown in the figure. Determine the following unknowns if the modulus of elasticity is 90GPa and the maximum shear is 444.9kN. Let, P=170kN, a=2.5m, b=1m and c=3m ; If the deflection at the free end (leftmost part of the beam) is equal to -14.183444485219mm, Determine the radius of the cross-section of the circular beam. Determine the slope at the free end of the beam
Determine the following unknowns on the beam shown below using Conjugate-Beam Method. Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized solution. a. Vertical Reaction at C in kN.b. Moment Reaction at C in kN-m.c. Deflection at point B in mm.d. Maximum deflection on the beam in m Valuea = 4.8b = 28c = 11 Thank you very much!
How i can model at Autodesk inventor a three-point bending test on a simply supported, straight beam made of structural steel (modulus of elasticity E=210GPa, Poisson’s ratio ν=0.3), with dimensions 10000mm long, 2000mm wide, and 500mm thick, subjected to an external load of 7000N plus the beam's weight? The beam is required to meet a stress constraint of 140MPa and a deflection constraint of L/1000, where L is the span of the beam
A simply supported 4-m long beam is made up of 80% grade Kato. The beam is carrying a uniform load of 12 KN/m all through out its length and a concentrated load of 800 N 1 meter from the left support. The cross-sectional area of the beam is indicated below. a. What is the moment of inertia (in mm4) of the cross-section of the beam? b. What is the value of Q (in mm3)? c. What is the actual bending stress of the beam in MPa? d. What is the actual shearing stress of the beam in MPa?
A rod of diameter 50 cm and length 6 m is hanging vertically and carries an axial loadof 10 kN at bottom end. Calculate the elongation of the bar at a distance 2 m from thebottom end. Take the unit weight of the rod material is 25 kN/m' and modulus ofelasticity of the material is 3x109 MPa.
A simply supported beam spans L=28ft. A 3/4 inch thick steel plate with a width of b1=3.2ft, and a length L=28ft is balanced on the beam as shown. When viewed from above, the weight of the steel plate is 30lb/ft2. What is the total weight of the plate, and what is the distributed load on the beam due to the weight of the plate? A one-inch thick sheet of particle measuring 6 feet wide and 28 feet long is balanced on top of the aforementioned steel plate. The weight of the particle board, when viewed from above, is 3lb/ft2. What is the magnitude of the distributed load on the beam due to the weight of the particleboad? What is the magnitude of the total distributed load on the beam due to the weight of the particleboard and the steel plate?
Question 1: Consider a non-uniform 10m long cantilever beam, with flexural rigidity of EI(x)= 300/x+20 kNm2 a) What is the flexural rigidity at each end of the beam? b) Calculate the deflection function for this beam under a uniform distributed load of 10N/m over the whole beam. Question 2: Consider a uniform 10m long beam, with flexural rigidity of 12,000Nm2 that has a fixed supports on both ends. A weight is hung under the beam—attached via cable at the x = 3 point—applying a downward force of 200 N . At the same time a winch is connected to the beam—via a cable attached at the x = 7 point—pulling upward with a force of 200N. a) What load function, f(x), represents this load? b) Calculate the deflection function for the beam. c) Include a picture of the beam when it is under load. Question 3: Consider a non-uniform cantilever beam that is 1 m long and whose flexural rigidity is given by the function EI(x) = 30/x+2 kNm2. a) Calculate the influence function (a.k.a., “Green’s…
A 10m beam is simply supported at the right end and is fixed at the left end. it is subjected to a concentrated load of 20kn at midspan. how far from the left support is the maximum deflection? assume that the flexural rigidity of the beam is constant all throughout. EI = 10000 kN - m^2 Note: please answer in 3 decimal places thank you