Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Question
Chapter 1.7, Problem 70P
To determine
The diameter of eye bolt
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Calculate the y coordinate of the of the centroid of the shape below. Take A= 18.5
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In MATLAB write out a program to integrate the equations of motion of a rigid body. The inertia matrix is given by I = [125 0 0; 0 100 0; 0 0 75] which is a diagonal, where diag operator provides a matrix with given elements placed on its diagonal. Consider three cases where the body rotates 1 rad/sec about each principal axis. Integrate the resulting motion and study the angular rates and the resulting attitude (use any attitude coordinates). For each principal axis case, assume first that a pure spin about the principal axis is performed, and then repeat the simulation where a small 0.1 rad/sec motion is present about another principal axis. Discuss the stability of each motion. The code should produce a total of 6 simulations results when it is ran.
Q.
A strain gauge rosette that is attached to the surface of a stressed component
C). If the strain gauge rosette is of the D°
gives 3 readings (a = A, b = B, &c =
type (indicating the angle between each of the gauges), construct a Mohr's Strain
Circle overleaf. You should assume that gauge A is aligned along the x-axis.
Using the Mohr's Strain Circle calculate the:
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(i) principal strains (1, 2)?
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[5 marks]
(ii) principal angles (1, 2)?
You should measure these anticlockwise from the y-axis.
20
[5 marks]
(iii) maximum shear strain in the plane (ymax)?
Ex = Ea
Ey = εc
[5 marks]
(epol)
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Ea = A = -210
2
B=E₁ = -50
E₁ = C = 340
D = 45°
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Chapter 1 Solutions
Mechanics of Materials
Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal normal and shear...Ch. 1.2 - Determine the resultant internal torque acting on...Ch. 1.2 - Determine the resultant internal loadings in the...
Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal loading on the...Ch. 1.2 - Determine the resultant internal loading on the...Ch. 1.2 - The 800-lb load is being hoisted at a constant...Ch. 1.2 - Determine resultant internal loadings acting on...Ch. 1.2 - Determine the resultant internal normal force...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - The sky hook is used to support the cable of a...Ch. 1.2 - Determine the resultant internal torque acting on...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - The metal stud punch is subjected to a force of...Ch. 1.2 - The metal stud punch is subjected to a force of...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - A force of 80 N is supported by the bracket....Ch. 1.2 - The curved rod has a radius r and is fixed to the...Ch. 1.2 - The pipe assembly is subjected to a force of 600 N...Ch. 1.2 - If the drill bit jams when the handle of the hand...Ch. 1.2 - The curved rod AD of radius r has a weight per...Ch. 1.2 - A differential element taken from a curved bar is...Ch. 1.5 - The uniform beam is supported by two rods AB and...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - If the 600-kN force acts through the centroid of...Ch. 1.5 - Determine the average normal stress at points A,...Ch. 1.5 - Determine the average normal stress in rod AB if...Ch. 1.5 - A 175-lb woman stands on a vinyl floor wearing...Ch. 1.5 - Determine the largest intensity w of the uniform...Ch. 1.5 - The specimen failed in a tension test at an angle...Ch. 1.5 - The built-up shaft consists of a pipe AB and solid...Ch. 1.5 - If the material fails when the average normal...Ch. 1.5 - If the block is subjected to a centrally applied...Ch. 1.5 - The plate has a width of 0.5 m. If the stress...Ch. 1.5 - The member is subjected to a tensile force of 200...Ch. 1.5 - The boom has a uniform weight of 600 lb and is...Ch. 1.5 - Determine the average normal stress in each of the...Ch. 1.5 - If the average normal stress in each of the...Ch. 1.5 - Determine the maximum average shear stress in pin...Ch. 1.5 - The 150-kg bucket is suspended from end E of the...Ch. 1.5 - The 150-kg bucket is suspended from end E of the...Ch. 1.5 - If the pedestal is subjected to a compressive...Ch. 1.5 - The beam is supported by two rods AB and CD that...Ch. 1.5 - The beam is supported by two rods AB and CD that...Ch. 1.5 - The beam is supported by a pin at B and a short...Ch. 1.5 - The railcar docklight is supported by the...Ch. 1.5 - The plastic block is subjected to an axial...Ch. 1.5 - During a tension test, the wooden specimen is...Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - Prob. 54PCh. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The pier is made of material having a specific...Ch. 1.5 - Prob. 58PCh. 1.5 - The uniform bar, having a cross-sectional area of...Ch. 1.5 - Prob. 60PCh. 1.5 - Prob. 61PCh. 1.5 - The triangular blocks are glued along each side of...Ch. 1.5 - The triangular blocks are glued along each side of...Ch. 1.5 - Prob. 64PCh. 1.5 - Determine the maximum magnitude P of the load the...Ch. 1.5 - Prob. 66PCh. 1.5 - Prob. 67PCh. 1.7 - Rods AC and BC are used to suspend the 200-kg...Ch. 1.7 - If it is subjected to double shear, determine the...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If each of the three nails has a diameter of 4 mm...Ch. 1.7 - The strut is glued to the horizontal member at...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If the eyebolt is made of a material having a...Ch. 1.7 - If the bar assembly is made of a material having a...Ch. 1.7 - Determine the maximum force P that can be applied...Ch. 1.7 - The pin is made of a material having a failure...Ch. 1.7 - If the bolt head and the supporting bracket are...Ch. 1.7 - Six nails are used to hold the hanger at A against...Ch. 1.7 - If A and B are both made of wood and are 38 in....Ch. 1.7 - Prob. 70PCh. 1.7 - The connection is made using a bolt and nut and...Ch. 1.7 - Determine the required cross-sectional area of...Ch. 1.7 - Prob. 73PCh. 1.7 - The spring mechanism is used as a shock absorber...Ch. 1.7 - Prob. 75PCh. 1.7 - The hangers support the joist in such a way that...Ch. 1.7 - Prob. 77PCh. 1.7 - Prob. 78PCh. 1.7 - The two aluminum rods AB and BC have diameters of...Ch. 1.7 - The cotter is used to hold the two rods together....Ch. 1.7 - Prob. 81PCh. 1.7 - The 60mm60mm oak post is supported on the pine...Ch. 1.7 - Prob. 83PCh. 1.7 - Prob. 84PCh. 1.7 - The assembly consists of three disks A, B, and C...Ch. 1.7 - Prob. 86PCh. 1.7 - Prob. 87PCh. 1.7 - Prob. 88PCh. 1.7 - Prob. 89PCh. 1.7 - Prob. 90PCh. 1.7 - Prob. 91PCh. 1.7 - Prob. 92PCh. 1.7 - Prob. 93PCh. 1.7 - The aluminum bracket A is used to support the...Ch. 1.7 - If the allowable tensile stress for the bar is...Ch. 1.7 - The bar is connected to the support using a pin...Ch. 1 - The beam AB is pin supported at A and supported by...Ch. 1 - The long bolt passes through the 30-mm-thick...Ch. 1 - Determine the required thickness of member BC to...Ch. 1 - The circular punch B exerts a force of 2 kN on the...Ch. 1 - Determine the average punching shear stress the...Ch. 1 - The 150 mm by 150 mm block of aluminum supports a...Ch. 1 - The yoke-and-rod connection is subjected to a...Ch. 1 - The cable has a specific weight (weight/volume)...
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- 1) Solve and show which is converage or diyverage a = 2+(0.1)" 3 16) a = n 1-2n 2) a = In n 1+2n 17) a = n 1-5n4 3) an = n* +8n³ 18) a =√4"n n² -2n+1 n! 20) a = 4) a₁ = 10 n-1 (Ina) 5) a=1+(-1)" 21) a= 6) a 7) an = * = (12+) (1-1) 2n (-1)+1 2n-1 3n+1 22) a= 3n-1 x" 23) a= .x>0 2n+1 2n 3"x6" 8) a = 24) a = n+1 π 9) a = sin 2 sin n 10) an = n + 2 x n! 25) a = tanh(n) n² 1 26) a = -sin- 2n-1 27) a = tan(n) n n 11) a = 2" 12) a = n 13) a = 8/ +=(1+2)" 14) a = 15) a = √10n In(n+1) 29) a = n 30) an-√n²-1 1 28) a = + √2" (In n)200 n 31) a=- = 1 dx nixarrow_forwardHW12 A multiple-disc clutch has five plates having four pairs of active friction surfaces. If the intensity of pressure is not to exceed 0.127 N/mm², find the power transmitted at 500 r.p.m. The outer and inner radii of friction surfaces are 125 mm and 75 mm respectively. Assume uniform wear and take the coefficient of friction = 0.3.arrow_forwardThe sketch below gives some details of the human heart at rest. What is the total power requirement (work/time) for an artificial heart pump if we use a safety factor of 5 to allow for inefficiencies, the need to operate the heart under stress, etc.? Assume blood has the properties of water. p pressure above atmosphere blood going to the lungs for a fresh charge of oxygen p = 2.9 kPa 25v pulmonary artery d = 25mm fresh oxygenated blood from the lungs p = 1.0 kPa vena cava d=30mm right auricle pulmonary vein, d = 28mm aorta, d=20mm spent blood returning from left auricle the body p = 0.66 kPa right left ventricle ventricle blood to feed the body, p 13 kPa normal blood flow = 90 ml/sarrow_forward
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