Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
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Chapter 4.9, Problem 141P
To determine
Find the stress at the point A.
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Please sovle this for me and please don't use ai
3. The cold-drawn AISI 1040 steel bar shown in the figure is subjected to a
completely reversed axial load fluctuating between 28 kN in compression to 28 kN
in tension. Estimate the fatigue factor of safety based on achieving infinite life (using
Goodman line) and the yielding factor of safety. If infinite life is not predicted,
estimate the number of cycles to failure.
25 mm +
6-mm D.
10 mm
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- CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 1. The truss shown is supported by hinge at A and cable at E.Given: H = 4m, S = 1.5 m, α = 75⁰, θ = 33⁰.Allowable tensile stress in cable = 64 MPa.Allowable compressive stress in all members = 120 MPaAllowable tensile stress in all members = 180 MPa1.Calculate the maximum permissible P, in kN, if the diameter of the cable is 20 mm.2.If P = 40 kN, calculate the required area (mm2) of member BC.3. If members have solid square section, with dimension 15 mm, calculate the maximum permissible P (kN) based on the allowable strength of member HI.ANSWERS: (1) 45.6 kN; (2) 83.71 mm2; (3) 171.76 kNarrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 2: A wire 4 meters long is stretched horizontally between points 4 meters apart. The wire is 25 mm2 in cross-section with a modulus of elasticity of 200 GPa. A load W placed at the center of the wire produces a sag Δ.1.Calculate the tension (N) in the wire if sag Δ = 30 mm.2.Calculate the magnitude of W, in N, if sag Δ = 54.3 mm.3. If W is 60 N, what is the sag (in mm)?ANSWERS: (1) 562 N, (2) 100 N, (3) 45.8 Narrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 4 : A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position as shown. The cable has tensile force T and is attached at C. The length of the pole is 6.0 m, the outer diameter is d = 140 mm, and the wall thickness t = 12 mm. The pole pivots about a pin at A. The allowable shear stress in the pin is 60 MPa and the allowable bearing stress is 90 MPa. The diameter of the cable is 8 mm.1.Find the minimum diameter (mm) of the pin at A to support the weight of the pole in the position shown.2.Calculate the elongation (mm) of the cable CD.3.Calculate the vertical displacement of point C, in mm.ANSWERS: (1) 6 mm, (2) 1.186 mm, (3) 1.337 mm--arrow_forward
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