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 C is 0.22 in. In segment (2), the normal strain is measured as 1,900 μin./in. Assume L₁ = 47 in. and L₂ = 91 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. Answers: (a) in.₂ = (b) Ex = (1) L₁ i B (2) L2 in. pin/in.

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 C is 0.22 in. In segment (2), the normal strain is measured as 1,900 μin./in. Assume L₁ = 47 in. and L₂ = 91 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. Answers: (a) in.₂ = (b) Ex = (1) L₁ i B (2) L2 in. pin/in.

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

170MPA 320MPA 430MPA Figure Q2: State of plane stress
The stresses acting on element B (see figure part a) on the web of a wide-flange beam are found to be o = 11,000 psi in compression in the horizontal direction and oy = 2,600 psi in compression in the vertical direction (see figure part b). Also, shear stresses of magnitude Tzy = 3,200 psi, act in the directions shown. B Side Cross View Section (b) (а) Determine the stresses acting on an element oriented at a counterclockwise angle of 45" from the horizontal. Round your answers to one decimal place. psi psi psi
Calculate the value of Q and t that are used in the shear formula for finding the shear stress at A. 0.3 m 0.3 m 0.2 m 0.2 m 0.4 m 0.km 0.2 m
4
Thin square plate PQRS is symmetrically deformed into the shape shown by the dashed lines in the figure.[a = 200 mm, b = 202.1 mm, c = 198.9 mm] For the deformed plate, determine the normal strain of diagonal PR? In micro £ For the deformed plate, determine the shear strain xy at corner P?in micro rad
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 C is 0.19 in. In segment (2), the normal strain is measured as 1,650 pin./in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. Answers: (a) 8₂ = (b) E₁ = 41 in. (2) 93 in. lin. uin./in. P
The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Calculate the shear strain, Yxy, at A. Also, calculate the average normal strain & along the x' axis. 800 mm 45% 45° 800 mm 5 mm
P² The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex= 320 μE, Ey = -910 μE, Yxy=-580 prad. Enter the angle such that -45°≤0₂≤ +45°. Answer: Ep1 = με Ep2= με Ymax in-plane Vabsolute max. 0p= H H prad urad
A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines in the plate remain straight after deformation and that apex C is displaced to point C'as shown. Compute the following: a) the normal strains ex, ey and the shearing strain yxy at point C based on small deformation theory b) the normal strain at point A in the direction of AC based on small deformation theory c) the normal strains ex, ey and the shearing strain yxy at point C based on large deformation theory A 30° -200 mm. 3mm C" 1 I 1 1 60° 4mm
Question 1 A beam is undergoing bending deformation, whose cross-section is shown in Figure Q1. a) Determine the cross-sectional properties lxx, lyy and Iy. b) Determine the direct (bending) stress distribution in the section beam, produced by a positive bending moment, M,. The cross-section is anti-symmetric with centroid at the mid-point of the vertical web. No moment is applied about the y-axis, i.e. M, = 0. 2 2 M. 2 h 2 Figure Q1
1. The stress condition on a two-dimensional infinitesimal material element is shown in Fig. 1 Fig. 1 60 MPа A 50 MPа В 30 MPа A. Describe the state of stress on: (i) Face A (ii) Face B B. State the sign convention for stress components on faces A and B in the: (i) Physical-space (ii) Mohr-Circle-space C. Draw the Mohr circle for the stress element in Fig. 1
A