Problem 9Consider a thin rectangular cantilever beam of length I, thickness 2c and unit with (t-1). Investigatewhat problem of plane stress is solved by stress function:3F3c

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Answered: Problem 9 Consider a thin rectangular…

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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The section of a thick beam has the dimensions shown in the figure below. Calculate the section properties lz, ly and Izy (Izy = product of inertia) referred to horizontal and vertical axes through the centroid of the section. Refer to Section 6 in your notes for properties of planed sections. Also determine the direct stress at the point A due to a bending moment My = 55 Nm. (Hint: use Page 7-9 in your notes) Ay A 5 mm 20 mm G 5 mm 5 mm 10 mm
Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A
1
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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 0.18 in. In segment (2), the normal strain is measured as 1,650 pin/in. Assume L₁ - 34 in. and L₂-83 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. (1) Answers: (a) in.& (b) = 4 i B (2) 4₂ in, pin/in.

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Problem 9 Consider a thin rectangular cantilever beam of length I, thickness 2c and unit with (t-1). Investigate what problem of plane stress is solved by stress function: 3F 4c 3c