6. A simply supported beam, of diameter 12 mm, is loaded as shown in the figure below. Using double integration method, determine the location of the maximum deflection and magnitude of the deflection. Modulus of elasticity is 200 GPa for the beam material. 0.2m 20 N B ↓ 0.3 m mn 40 N/m 0.4m D

6. A simply supported beam, of diameter 12 mm, is loaded as shown in the figure below. Using double integration method, determine the location of the maximum deflection and magnitude of the deflection. Modulus of elasticity is 200 GPa for the beam material. 0.2m 20 N B ↓ 0.3 m mn 40 N/m 0.4m D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

108
6. A simply supported beam, of diameter 12 mm, is loaded as shown in the
figure below. Using double integration method, determine the location of the
maximum deflection and magnitude of the deflection. Modulus of elasticity is
200 GPa for the beam material.
0.2m
20 N
B
0.3 m
mar
40 N/m
▬▬▬D
0.4 m

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B2
Figure 4–5a shows a cantilever beam with an end load. Normally we model thisproblem by considering the left support as rigid. After testing the rigidity of thewall it was found that the translational stiffness of the wall was kt force per unitvertical deflection, and the rotational stiffness was kr moment per unit angular(radian) deflection (see Fig. 4–5b). Determine the deflection equation for the beamunder the load F.
For the beam shown in Figure 3, a) Determine the maximum compressive bending stress in the beam. State exactly what location on the beam and where on the cross-section this maximum compressive bending stress occurs. b) Use the double integration method to calculate the deflection at point A, located at the end of the cantilever Given: E = 200 GPa A 5 kN/m 2 m BA 3 m 44 2 kN.m 75 mm 150 mm
1. Determine the "t" parameter of cross section of the beam in the figure below (use Navier formula) and the transversal displacement of section A. The allowable stress of the beam material is considered of 100MPa. The cross section of the beam is given in the next figure. q-5KN/m M=4KNM F=3KN L1=3m L2=1m L3=1m 8t M F JA 10t 2t L1 L2 L3 2t 4t
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