SITUATION 3: Assume that each member of the truss is stressed to itsworking stress. Use the following data: b = 1.8m, P = 530 kN, α = 30º,σT = 125 MPa, σc = 85 MPa.4. What is the value of 0 that will result in the smallestmaterial volume?BbA

volume will be minimum if required cross section area of trus members minimumFor that load on…

Answered: SITUATION 3: Assume that each member of…

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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3. A thin hollow sphere of radius 75 mm and thickness 30 mm is subjected to an internal pressure of 100 Mra. Determine the maximum normal or longitudinal stress on an element of the sphere.
The stresses shown act at a point in a stressed body. The stress magnitudes are Sy = 100 MPa and Sy = 215 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume ß = 51°. ↑ Answer: Sn = MPa Snt = MPa
Problem 1. A material element in plane stress is subjected to stresses: Ox = -7000 psi Oy = -3000 psi = -4000 psi Txy а) Find the stresses ox,, Oy,, and Tx, y, on an element oriented at an angle 0 = 30° clockwise from the x axis and show these stresses and on a sketch of a properly oriented element. b) Find the principal stress angles, Op1, Op2, and the principal stresses, 01,02 c) Find the maximum shear stress angles, 051, es2, and the maximum shear stresses, +Tmax- d) Show the principal stresses and maximum shear stresses on a sketch of a properly oriented element
Figure 1 shows the elastically deformed shape AB'C'D' of a thin plate subjected to plane stress conditions. The elasticity modulus and Poisson's ration are E=210 GPa and v=0.33 respectively. Determine the direction (angle 0) of the maximum shear stress on the point 0(0.5, 0.5). C'(1.09, 1.08) D'(0.01, 1.03) C(1.00, 1.00) D(0, 1) A(0, 0) O(0.5, 0.5) B(1, 0) B'(1.05, 0.06)
Q.b.
www The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 60 MPa and Sy = 210 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume 3 = 47° Selle Answer: Sn = Snt = S, 6 ← T 5 S., MPa MPa
The stresses shown act at a point in a stressed body. The stress magnitudes are S, = 100MPA and S, = 245 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B = 55°. Sy Answer: Sn = MPa Snt = MPa
2.75 A steel rod is stretched between two walls. At 20°C, the tensile force in the rod is 5000 N. If the stress is not to exceed 130 MPa at –20°C, find the minimum allowable diameter of the rod. Use a = 11.7 × 10–6/°C and E = 200 GPa. %3D
Topic.p stress problem.
A
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If o- 29 MPa in the direction shown, determine the principal stresses at the point. 28 MPa 16 MPa O 42.4 MPa and -29.4 MPa O 26.2 MPa and -17.7 MPa O 53.1 MPa and -37.9 MPa O 45.4 MPa and -31.0 MPa O 34.1 MPa and -24.6 MPa

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SITUATION 3: Assume that each member of the truss is stressed to its working stress. Use the following data: b = 1.8m, P = 530 kN, α = 30º, σT = 125 MPa, σc = 85 MPa. 4. What is the value of 0 that will result in the smallest material volume? B b A