Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 1, Problem 11P
Evaluate the expression
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Hi, can you please define and calculate the failure mode of the linkage that failed on the swing (images added) :
A child swing set was discovered to have failed at the fixing at the top of the chains connecting the seat to the top of the swing set. A 12 mm threaded steel bolt, connecting the shackle to the top beam, failed at the start of the threaded region on the linkage closest to the outside side of the swing set .
The linkage and bolts were made of electro galvanised mild steel . The rigid bar chain alternatives and fixings were of the same material and appeared to be fitted in accordance with guidelines. The yield strength of the steel used is 260 MPa and the UTS is 380 MPa. The bolt that failed was threaded using a standard thread with a pitch (distance between threads) of 1.75 mm and a depth of approximately 1.1 mm.
The swing set in question had been assigned to ‘toddlers’ with the application of a caged-type seat. However, the location was within the play area not…
Page
11-68. The rectangular plate shown is subjected to a uniaxial
stress of 2000 psi. Compute the shear stress and the tensile
developed on a plane forming an angle of 30° with the longitud
axis of the member. (Hint: Assume a cross-sectional area of unity)
2000 psi
2000 psi
hp
11-70. A shear stress (pure shear) of 5000 psi exists on an element.
(a) Determine the maximum tensile and compressive stresses
caused in the element due to this shear.
(b) Sketch the element showing the planes on which the
maximum tensile and compressive stresses act.
Chapter 1 Solutions
Engineering Mechanics: Statics
Ch. 1 - Determine the angles made by the vector V=36i+15j...Ch. 1 - Determine the magnitude of the vector sum V=V1+V2...Ch. 1 - For the given vectors V1 and V2 of Prob. 1/2,...Ch. 1 - A force is specified by the vector...Ch. 1 - What is the mass in both slugs and kilograms of a...Ch. 1 - From the gravitational law calculate the weight W...Ch. 1 - Determine the weight in newtons of a woman whose...Ch. 1 - Suppose that two nondimensional quantities are...Ch. 1 - Compute the magnitude F of the force which the sun...Ch. 1 - Determine the small gravitational force F which...
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- 11-20. An aluminum specimen of circular cross section, 0.50 in. in diameter, ruptured under a tensile load of 12,000 lb. The plane of failure was found to be at 48° with a plane perpendicular to the longitudinal axis of the specimen. (a) Compute the shear stress on the failure plane. (b) Compute the maximum tensile stress. (c) Compute the tensile stress on the failure plane. hparrow_forwardA long flat steel bar 13 mm thick and 120 mm wide has semicircular grooves as shown and carries a tensile load of 50 kN Determine the maximum stress if plate r= 8mm r=21mm r=38mmarrow_forwardProblem 13: F₁ = A =250 N 30% Determine the moment of each of the three forces about point B. F₂ = 300 N 60° 2 m -3 m B 4 m F3=500 Narrow_forward
- 3 kN 3 kN 1.8 kN/m 80 mm B 300 mm D an 1.5 m-1.5 m--1.5 m- PROBLEM 5.47 Using the method of Sec. 5.2, solve Prob. 5.16 PROBLEM 5.16 For the beam and loading shown, determine the maximum normal stress due to bending on a transverse section at C.arrow_forward300 mm 3 kN 3 kN 450 N-m D E 200 mm 300 mm PROBLEM 5.12 Draw the shear and bending-moment diagrams for the beam and loading shown, and determine the maximum absolute value (a) of the shear, (b) of the bending moment.arrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD. The cantilevered spandrel beam shown whose depth tapers from d1 to d2, has a constant width of 120mm. It carries a triangularly distributed end reaction.Given: d1 = 600 mm, d2 = 120 mm, L = 1 m, w = 100 kN/m1. Calculate the maximum flexural stress at the support, in kN-m.2. Determine the distance (m), from the free end, of the section with maximum flexural stress.3. Determine the maximum flexural stress in the beam, in MPa.ANSWERS: (1) 4.630 MPa; (2) 905.8688 m; (3) 4.65 MPaarrow_forward
- CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD A concrete wall retains water as shown. Assume that the wall is fixed at the base. Given: H = 3 m, t = 0.5m, Concrete unit weight = 23 kN/m3Unit weight of water = 9.81 kN/m3(Hint: The pressure of water is linearly increasing from the surface to the bottom with intensity 9.81d.)1. Find the maximum compressive stress (MPa) at the base of the wall if the water reaches the top.2. If the maximum compressive stress at the base of the wall is not to exceed 0.40 MPa, what is the maximum allowable depth(m) of the water?3. If the tensile stress at the base is zero, what is the maximum allowable depth (m) of the water?ANSWERS: (1) 1.13 MPa, (2) 2.0 m, (3) 1.20 marrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I NEED FBD A short plate is attached to the center of the shaft as shown. The bottom of the shaft is fixed to the ground.Given: a = 75 mm, h = 125 mm, D = 38 mmP1 = 24 kN, P2 = 28 kN1. Calculate the maximum torsional stress in the shaft, in MPa.2. Calculate the maximum flexural stress in the shaft, in MPa.3. Calculate the maximum horizontal shear stress in the shaft, in MPa.ANSWERS: (1) 167.07 MPa; (2) 679.77 MPa; (3) 28.22 MPaarrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD. The roof truss shown carries roof loads, where P = 10 kN. The truss is consisting of circular arcs top andbottom chords with radii R + h and R, respectively.Given: h = 1.2 m, R = 10 m, s = 2 m.Allowable member stresses:Tension = 250 MPaCompression = 180 MPa1. If member KL has square section, determine the minimum dimension (mm).2. If member KL has circular section, determine the minimum diameter (mm).3. If member GH has circular section, determine the minimum diameter (mm).ANSWERS: (1) 31.73 mm; (2) 35.81 mm; (3) 18.49 mmarrow_forward
- PROBLEM 3.23 3.23 Under normal operating condi- tions a motor exerts a torque of magnitude TF at F. The shafts are made of a steel for which the allowable shearing stress is 82 MPa and have diameters of dCDE=24 mm and dFGH = 20 mm. Knowing that rp = 165 mm and rg114 mm, deter- mine the largest torque TF which may be exerted at F. TF F rG- rp B CH TE Earrow_forward1. (16%) (a) If a ductile material fails under pure torsion, please explain the failure mode and describe the observed plane of failure. (b) Suppose a prismatic beam is subjected to equal and opposite couples as shown in Fig. 1. Please sketch the deformation and the stress distribution of the cross section. M M Fig. 1 (c) Describe the definition of the neutral axis. (d) Describe the definition of the modular ratio.arrow_forwardusing the theorem of three moments, find all the moments, I only need concise calculations with minimal explanations. The correct answers are provided at the bottomarrow_forward
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