VECTOR MECHANIC
12th Edition
ISBN: 9781264095032
Author: BEER
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 7.4, Problem 7.123P
To determine
Solve the variables indicated in the figure.
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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 N
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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--
1. Derive an expression for H(w)
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Chapter 7 Solutions
VECTOR MECHANIC
Ch. 7.1 - 7.1 and 7.2 Determine the internal forces (axial...Ch. 7.1 - 7.1 and 7.2 Determine the internal forces (axial...Ch. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.3 and P7.4 7.4 Determine the internal...Ch. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.5 and P7.6 7.6 Determine the internal...Ch. 7.1 - An archer aiming at a target is pulling with a...Ch. 7.1 - For the bow of Prob. 7.7, determine the magnitude...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...
Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - Fig. P7.11 and P7.12 7.12 A semicircular rod is...Ch. 7.1 - The axis of the curved member AB is a parabola...Ch. 7.1 - Knowing that the axis of the curved member AB is a...Ch. 7.1 - Prob. 7.15PCh. 7.1 - Fig. P7.15 and P7.16 7.16 Knowing that the radius...Ch. 7.1 - Prob. 7.17PCh. 7.1 - For the frame of Prob. 7.17, determine the...Ch. 7.1 - Knowing that the radius of each pulley is 200 mm...Ch. 7.1 - Fig. P7.19 and P7.20 7.20 Knowing that the radius...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - Prob. 7.23PCh. 7.1 - For the rod of Prob. 7.23, determine the magnitude...Ch. 7.1 - A semicircular rod of weight W and uniform cross...Ch. 7.1 - Prob. 7.26PCh. 7.1 - Prob. 7.27PCh. 7.1 - 7.27 and 7.28 A half section of pipe rests on a...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - Prob. 7.31PCh. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.35 and 7.36 For the beam and loading shown, (a)...Ch. 7.2 - Prob. 7.36PCh. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - Prob. 7.41PCh. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Solve Problem 7.43 knowing that P = 3wa. PROBLEM...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Prob. 7.46PCh. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Two small channel sections DF and EH have been...Ch. 7.2 - Solve Prob. 7.53 when = 60. PROBLEM 7.53 Two...Ch. 7.2 - For the structural member of Prob. 7.53, determine...Ch. 7.2 - For the beam of Prob. 7.43, determine (a) the...Ch. 7.2 - Determine (a) the distance a for which the maximum...Ch. 7.2 - For the beam and loading shown, determine (a) the...Ch. 7.2 - A uniform beam is to be picked up by crane cables...Ch. 7.2 - Knowing that P = Q = 150 lb, determine (a) the...Ch. 7.2 - Prob. 7.61PCh. 7.2 - Prob. 7.62PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.29....Ch. 7.3 - Prob. 7.64PCh. 7.3 - Prob. 7.65PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.32....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.33....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.34....Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.39....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.40....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.41....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.42....Ch. 7.3 - 7.75 and 7.76 For the beam and loading shown, (a)...Ch. 7.3 - Prob. 7.76PCh. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - (a) Draw the shear and bending-moment diagrams for...Ch. 7.3 - Solve Prob. 7.83 assuming that the 300-lb force...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - Prob. 7.88PCh. 7.3 - The beam AB supports the uniformly distributed...Ch. 7.3 - Solve Prob. 7.89 assuming that the uniformly...Ch. 7.3 - The beam AB is subjected to the uniformly...Ch. 7.3 - Solve Prob. 7.91 assuming that the uniformly...Ch. 7.4 - Three loads are suspended as shown from the cable...Ch. 7.4 - Knowing that the maximum tension in cable ABCDE is...Ch. 7.4 - Prob. 7.95PCh. 7.4 - Fig. P7.95 and P7.96 7.96 If dA = dc = 6 ft,...Ch. 7.4 - Knowing that dc = 5 m, determine (a) the distances...Ch. 7.4 - Fig. P7.97 and P7.98 7.98 Determine (a) distance...Ch. 7.4 - Knowing that dc = 9 ft, determine (a) the...Ch. 7.4 - Fig. P7.99 and P7.100 7.100 Determine (a) the...Ch. 7.4 - Knowing that mB = 70 kg and mC = 25 kg, determine...Ch. 7.4 - Prob. 7.102PCh. 7.4 - Prob. 7.103PCh. 7.4 - Prob. 7.104PCh. 7.4 - Prob. 7.105PCh. 7.4 - If a = 4 m, determine the magnitudes of P and Q...Ch. 7.4 - An electric wire having a mass per unit length of...Ch. 7.4 - Prob. 7.108PCh. 7.4 - Prob. 7.109PCh. 7.4 - Prob. 7.110PCh. 7.4 - Prob. 7.111PCh. 7.4 - Two cables of the same gauge are attached to a...Ch. 7.4 - Prob. 7.113PCh. 7.4 - Prob. 7.114PCh. 7.4 - Prob. 7.115PCh. 7.4 - Prob. 7.116PCh. 7.4 - Prob. 7.117PCh. 7.4 - Prob. 7.118PCh. 7.4 - Prob. 7.119PCh. 7.4 - Prob. 7.120PCh. 7.4 - Prob. 7.121PCh. 7.4 - Prob. 7.122PCh. 7.4 - Prob. 7.123PCh. 7.4 - Prob. 7.124PCh. 7.4 - Prob. 7.125PCh. 7.4 - Prob. 7.126PCh. 7.5 - A 25-ft chain with a weight of 30 lb is suspended...Ch. 7.5 - A 500-ft-long aerial tramway cable having a weight...Ch. 7.5 - Prob. 7.129PCh. 7.5 - Prob. 7.130PCh. 7.5 - Prob. 7.131PCh. 7.5 - Prob. 7.132PCh. 7.5 - Prob. 7.133PCh. 7.5 - Prob. 7.134PCh. 7.5 - Prob. 7.135PCh. 7.5 - Prob. 7.136PCh. 7.5 - Prob. 7.137PCh. 7.5 - Prob. 7.138PCh. 7.5 - Prob. 7.139PCh. 7.5 - Prob. 7.140PCh. 7.5 - Prob. 7.141PCh. 7.5 - Prob. 7.142PCh. 7.5 - Prob. 7.143PCh. 7.5 - Prob. 7.144PCh. 7.5 - Prob. 7.145PCh. 7.5 - Prob. 7.146PCh. 7.5 - Prob. 7.147PCh. 7.5 - Prob. 7.148PCh. 7.5 - Prob. 7.149PCh. 7.5 - Prob. 7.150PCh. 7.5 - A cable has a mass per unit length of 3 kg/m and...Ch. 7.5 - Prob. 7.152PCh. 7.5 - Prob. 7.153PCh. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Two members, each consisting of a straight and a...Ch. 7 - Knowing that the radius of each pulley is 150 mm,...Ch. 7 - Prob. 7.158RPCh. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - Prob. 7.161RPCh. 7 - Prob. 7.162RPCh. 7 - Prob. 7.163RPCh. 7 - Prob. 7.164RPCh. 7 - A 10-ft rope is attached to two supports A and B...
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