Archives: Solution Manual

Problem 9.15 Repeat Prob. 9.14 if the reservoir is on the left-hand side of the dam. Solution The FBD for the dam is shown at the right. The water pressure at the bottom of the reservoir (i.e., point A) is […]

Chapter 03 – Regulating Employee Benefits 3-1 Chapter 03 Regulating Employee Benefits I. Learning Objectives (use PP 3.2) 1. Necessity of government regulation of employee benefits 2. Influence of the National Labor Relations Act of 1935 on discretionary employee benefit […]

Chapter 02 – The Psychology and Economics of Employee Benefits Chapter 02 The Psychology and Economics of Employee Benefits I. Learning Objectives (use PP 2.2) 1. The employment relationship as an exchange relationship and the psychology behind why firms provide […]

Problem 8.94 (a) Use the equilibrium approach to determine the shear as a function of position in the region 0x 3m. (b) Use the integration approach with the results of Part (a) to determine the moment in the region 0x3m. […]

Chapter 01 – Introducing Employee Benefits 1-1 Chapter 01 Introducing Employee Benefits I. Learning Objectives (use PP 1.2) 1. The origins of employee benefits practice 2. Various legally required and discretionary benefits 3. Legal and regulatory influences on employee benefits […]

1306 Solutions Manual Using these results, V .x DL=3/DVBDw0L 6;(11) M.x DL=3/DMBDw0L2 18 :(12) For L=3x2L=3, VDVB x Z xB wdx (13) Dw0L 6 x Z L=3 w0dx Dw0L 6w0xL 3(14) Dw0L 2.w0/x; (15) MDMBC x Z xB Vdx (16) […]

1286 Solutions Manual Using these results, the shear diagram may be drawn as follows. We determine xusing similar triangles: To construct the moment diagram, we use the shear diagram with the expression MQDMPC V dx : (14) xQ Z xP […]

Problem 8.69 Beam ABCD is used to support a machine tool. The beam weighs 60 lb=ft of length, and the machine weighs 1200 lb with center of gravity at point E . Assuming the machine applies only vertical forces to […]

Problem 8.60 Determine the shear and moment as functions of position, and draw the shear and moment diagrams. Solution For this problem, wDaCbx. @xD0; w D8kN mDaCb.0/ )aD8kN m;(1) @xD6m; w D4kN mDaCb.6 m/)bD  2 3 kN m2;(2) )wD8kN […]

Problem 8.49 In Example 4.11 on p. 252, numerous equivalent force systems for a cantilever beam were developed. For each of the following force systems, determine the shear and moment as functions of position, and draw the shear and moment […]

1206 Solutions Manual Using these results, the shear and moment diagrams may be drawn as follows May 11, 2012 This solutions manual, in any print or electronic form, remains the property of McGraw-Hill, Inc. It may be used and/or possessed […]

Problem 8.24 Determine the internal forces acting on: The cross section at Ain Example 4.3 on p. 212. Solution We take a cut through cross section A and draw the FBD to the left of the cross section to determine […]

Problem 8.10 A hacksaw for cutting metal is shown. Assume contact between the frame ABC and the handle assembly occurs at points B and C only, neglect friction, and neglect the size of the pin and notch at point B […]

Problem 7.140 A scoop for handling animal food is shown. The scoop’s shape is one-half of a truncated circular cone. Use the Pappus-Guldinus theorem to determine the volume of food the scoop will hold, assuming the food is “level.” Also, […]

Problem 7.130 A solid of revolution is produced by revolving the area shown 360 ı about the x axis. Use integration to determine the xcoordinate of the centroid. Solution To determine the x location of the centroid, we will use […]

Problem 7.112 A breakwater along an oceanfront is to be constructed of concrete, and the formwork for retaining the concrete while it is poured is shown. For every 6ft of width (into the plane of the figure), the formwork has […]

Problem 7.93 Determine the support reactions for the loading shown. Solution The distributed loads are replaced by the resultant forces F1D1 2.6m/ .4kN=m/D12 kN;(1) F2D.6m/ .1kN=m/D6kN:(2) Using the FBD, the equilibrium equations are XFxD0WAxD0; (3) XMAD0WBy.12 m/F1.2 m/CF2.9 m/.15 kN/.6 […]

Problem 7.80 (a) Use integration (Eqs. (7.41) and (7.43) on p. 469) with the appropriate expression(s) for the dis- tributed load w to determine the x position of the line of action for the resultant force produced by the distributed […]

Problem 7.65 A solid is generated by rotating the shaded area shown 360 ı about the y axis. Determine the volume and surface area of this solid in terms of the dimension h. Solution To determine the volume of the […]

1026 Solutions Manual which yields NxD4:98 in:(3) Using the information in the table, the ylocation of the center of gravity is NyDPQyiwi Pwi ; D0C.3:000 lb/ .30 in:/C.60 in:/ .0:75 lb/C.60 lb/ .2lb/ 9:245 lb C3:000 lb C0:75 lb C2lb […]

1006 Solutions Manual QyDy: (9) The xlocation of the centroid of the line is given by NxDRQx dL RdL DR2m 0y2p1C4y2dy R2m 0p1C4y2dy :(10) The ylocation of the centroid of the line is given by NyDRQy dL RdL DR2m 0yp4y2C1 […]

Problem 7.13 For the area shown, use integration to determine the x and y positions of the centroid. (a) Use a vertical area element. (b) Use a horizontal area element. Solution Part (a) For a vertical area element, we take […]

Problem 6.109 Compared to the truss shown in Fig. P6.109(a): The truss in (b) subdivides members AB and BC in half. The truss in (c) subdivides members AB,BC ,AD, and DC in half. The truss in (d) subdivides members AB […]

Statics 2e 939 )FCD D 25;000 lb:(6) Member ABC:XMBD0W FCF sin 45ı.18 in:/FCD sin 45ı.18 in:/CAy.18 in:/D0; (7) )FCF D27;172 lb:(8) May 11, 2012 This solutions manual, in any print or electronic form, remains the property of McGraw-Hill, Inc. It […]

Problem 6.86 For the ladder shown, if WD800 N and h can have any value such that 0h0:9 m, determine the largest force supported by each of the spreader bars BG and DG , and the value(s) of h for […]

Statics 2e 899 Problem 6.69 Imagine you have been retained by an attorney to serve as an expert witness for possible litigation regarding an accident that occurred on the playground structure shown. You have been given only preliminary information on […]

Problem 6.57 Determine if each truss is statically determinate, statically indeterminate, or a mechanism. (a) (b) (c) (d) Solution Using the equation mCr .<; >; D/ 2j; (1) each truss is examined to determine if it is statically determinate, statically […]

Statics 2e 859 Problem 6.41 All members of the truss have the same length. Determine the force supported by members BD,CD, and CE. Solution The FBD for the entire truss is shown at the right, where each truss member has […]

Problem 6.29 By inspection, identify the zero-force members in the truss. Solution Examination of joint Fshows that member EF is zero-force. Examination of joint Hshows that both members EH and GH are zero-force. To summarize, the zero-force members that can […]

Statics 2e 819 Problem 6.13 For the truss shown in Fig. P6.10, each member can support a maximum tensile force of 20 kN and a maximum compressive force of 12 kN. If PD4kN and QD1kN, determine the factor of safety […]

Problem 5.138 Beam ABCD is supported by a vertical bar AE , a pin at point B , and a vertical cable C G. The weights of all members are negligible. (a) If the value of P is known, is […]

Problem 5.123 Alternative equilibrium equations: Consider the FBD shown where F1 , F2 , etc., are the forces acting on the body (including reaction forces from supports), and M1 , M2 , etc., are the moments acting on the body […]

Statics 2e 745 Problem 5.109 Member AGDB is supported by a cable DE , a self-aligning bearing at A , and a self-aligning thrust bearing at B. (a) Draw the FBD for AGDB, labeling all forces and moments. (b) Rate […]

Statics 2e 725 Problem 5.90 Identify each of the members cited below as a zero-force, two-force, three-force, or multiforce member. Drum and contents in Example 5.5 on p. 287. Solution Referring to the FBD in Fig. 2 of Example 5.5, […]

Statics 2e 705 Problem 5.71 A model for a 110 V electrical wall switch is shown where force Q that operates the switch is perpendicular to line BCD . If the spring has stiffness kD1:5 N=mm , determine the unstretched […]

Problem 5.51 The horizontal bar ABCD is supported by a link BE with the shape shown. All pins are frictionless, and slots (if present) are loose fitting. Determine the reactions that support bar ABCD. Solution The FBD is shown at […]

Statics 2e 665 Problem 5.32 A motor and mounting hardware with weight WD65 lb are supported by rollers A , B , C , and D . Each pair of rollers is loose-fitting so that only one roller of the […]

Statics 2e 645 DF 12p3 1Cp3!CM L p3 1Cp3(11) p3 Part (c) We use Eq. (5.3) and the FBD to the right to find that XFyD0WAyFD0(13) XFxD0WDxD0(14) XMAD0WMDCMCDxLF .2L/ D0: (15) Solving these equilibrium equations, the reactions are found to […]

614 Solutions Manual Part (c) As indicated in Part (b), there are many ways to determine the moment of this couple. In general, it is best to use ErDE or ErED so that only one cross product needs to be […]

Problem 4.108 Determine a wrench equivalent force system and specify the x and y coordinates of the point where the wrench’s line of action intersects the xy plane. Express your answers in terms of parameters such as F,a, and b. […]

Problem 4.95 If FD200 N and PD300 N in Fig. P4.17 on p. 217, determine an equivalent force system consisting of a single force, and specify the x coordinate of the point where the force’s line of action intersects the […]

Problem 4.79 Determine the distance between the lines of action of the 85 N forces. See the hint in Prob. 4.78. Solution From the geometry provided in the problem statement, we write the following expressions ErCD D2O|m;E FDD.85 N/1 17.8O{12 […]

Problem 4.62 Beam AB has rectangular cross section where point A is at the origin of the coordinate system and point B has the coordinates B .1:2; 0:3; 2:4/ m . The vector Er1D.1 O{C12 O|C1O k/ m is perpendicular […]

Problem 4.44 The system shown is commonly used for supporting a rural mailbox. It has the feature that the mailbox can swing about line a if it is subjected to a ´ direction force, preventing possible damage to the mailbox […]

Problem 4.28 Structure OAB is built in at point O and supports two forces of magnitude F parallel to the y and ´ axes. If the magnitude of the moment about point O cannot exceed 1:0 kNm, determine the largest […]

Problem 4.10 Repeat Prob. 4.9 if the moment at point Bmay not exceed 5000 in.lb. Solution The maximum moment for a given value of force F occurs when the moment arm is at its maximum. Using the Pythagorean theorem in […]

Solutions Manual Engineering Mechanics: Statics 2nd Edition Michael E. Plesha University of Wisconsin–Madison Gary L. Gray The Pennsylvania State University Francesco Costanzo The Pennsylvania State University With the assistance of: Chris Punshon Andrew J. Miller Justin High Chris O’Brien Chandan […]

454 Solutions Manual TBE 18 23 CRBx D0; (15) 13 TBE 23 CRBy D0; (16) TBE 6 23 20 lb D0: (17) Solving Eqs. (15)–(17) provides TBE D76:67 lb, RBx D60 lb, and RBy D 43:33 lb. (18) The equilibrium […]

Problem 3.133 Frictionless sliders B and C have frictionless pulleys mounted to them, and are connected by a spring with stiffness kD12 N=mm . Around the pulleys is wrapped a cable that supports a weight WD100 N. Member CE is […]

Statics 2e 423 Problem 3.116 The structure consists of two bars and a vertical force W . When WD0 , point A has the position shown (i.e., its coordinates are A .10; 0/ in. ). When WD50 lb , point […]