Consider an elastic straight beam of length L = 10r m, with square cross-section of side a = 5 mm, and Young's modulus E = 200 GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler- Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is MPа. R L Ends of the beam

Consider an elastic straight beam of length L = 10r m, with square cross-section of side a = 5 mm, and Young's modulus E = 200 GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler- Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is MPа. R L Ends of the beam

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

Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.2 in.2 and an elastic modulus of 1820 ksi. Bar (2) has a cross-sectional area of 1.185 in.2 and an elastic modulus of 3590 ksi. Assume L1=21 in., L2=48 in., Q=7.6 kips, P=2.6 kips, and R=12.8 kips. Determine the horizontal deflection of end C relative to end A.
The principal stresses in N/mm² on a rectangular element are shown in the below figure. The intensity of normal stress o, on the oblique plane BE is 400 N/mm D C 2 100 N/mm E 100 N/mm A 2 2 30 400 N/mm Sn B
Current Attempt in Progress When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and Cis 0.18 in. In segment (2), the normal strain is measured as 1,550 µin/in. Assume L = 34 in. and L2 = 92 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. (1) L1 L2 Answers: (a) in.ôz = 0.0001426 in. (b) ej = pin./in.
The rigid bar is supported by a pin at A and two metal wires,each having a diameter of 4mm.The stress-strain diagram of the steel is given in the Figure below.The lower graph is the zoomed view of the elastic deformation and yielding phases of yielding phases of the stress-strain diagram given by the upper graph.a)Obtain the Young’s modulus of metal.What can you say about the kind of metal considering the Young modulus?If the poınt G is displaced 1.5 mm in vertical direction) b)Determine the forces at wires EB and DC c)the intensity of the distributed load w? d)the final diameters of wires.(Poisson’s ratio is v=0.3)
The major and minor principal strains in a 2D stressed element are 70μ and -25µ respectively. If the normal strain at a plane is given as 15µ, then what will be the normal strain on a plane perpendicular to it? A B d C D 40μ 30μ 25μ 20μ
Given the assumptions made in thin plate bending theory are already known,take a rectangular four-node thin plate bending element as an example and discuss compatibility of the element. (A diagram would be very useful) thanks
2] A bar (fixed at one edge and free at the other edge) is under uniform axial load. Use Rayleigh-Ritz method to solve for the axial deformation for the bar.
Elastic deformation: (A) is permanent deformation. (B involves small changes in interatomic spacing. is an irreversible deformation. D is shown in the nonlinear portion of the stress-strain curve.
Solve the required values using Mohr's Circle
A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rod (2) is 1190 µin./in. Assume initial rod lengths of L1 = 131 in. and L2 = 61 in. Determine (a) the normal strain in rods (1). (b) the normal strain in rods (1) if there is a 0.057 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied. (c) the normal strain in rods (1) if there is a 0.057 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied. (1) (1) (2) Rigid bar Answers: (a) ɛ1 = i pin./in. (b) Ɛ1 = i pin./in. (c) Ɛ1 = i pin./in.
Solid Mechanics
Find the req,