MACHINE DESIGN - An
3-7-1
PROBLEM 3-7
The piston of an internal-combustion engine is connected to its connecting rod with a "wrist Statement: pin." Find the force on the wrist pin if the 0.5-kg piston has an acceleration of 2 500 g. Units: Given: kN
3 10
MACHINE DESIGN - An
3-2e-1
PROBLEM 3-2e
Statement: Draw free-body diagrams for the system of Problem 3-1e (pipe wrench). Assumptions: 1. A two-dimensional model is adequate. Solution: See Mathcad file P0302e.
1. A typical pipe wrench with a pipe clamped i
MACHINE DESIGN - An
3-18-1
PROBLEM 3-18
A tractor-trailer tipped over while negotiating an on-ramp to the New York Thruway. The Statement: road has a 50-ft radius at that point and tilts 3 deg toward the outside of the curve. The 45-ft-long by 8-ft-wide b
MACHINE DESIGN - An
3-14-1
PROBLEM 3-14
Figure P3-5 shows a child's toy called a pogo stick. The child stands on the pads, applying Statement: half her weight on each side. She jumps off the ground, holding the pads up against her feet, and bounces along
MACHINE DESIGN - An
3-3-1
PROBLEM 3-3
Draw a free-body diagram of the pedal-arm assembly from a bicycle with the pedal arms in Statement: the horizontal position and dimensions as shown in Figure P3-1. (Consider the two arms, pedals and pivot as one piece
MACHINE DESIGN - An
2-19-1
PROBLEM 2-19
Calculate the specific strength and specific stiffness of the following materials and pick one Statement: for use in an aircraft wing spar. Units: Given: ksi
3 10 .psi
Material Steel
Code st 0
Ultimate Strength Suts
MACHINE DESIGN - An
3-17-1
PROBLEM 3-17
A pair of ice tongs is shown in Figure P3-7. The ice weighs 50 lb and is 10 in wide across the Statement: tongs. The distance between the handles is 4 in, and the mean radius r of a tong is 6 in. Draw free-body diag
MACHINE DESIGN - An
3-10-1
PROBLEM 3-10
An overhung diving board is shown in Figure P3-4a. Find the reaction forces and construct Statement: the shear and moment diagrams for this board with a 100 kg person standing at the free end. Determine the maximum
MACHINE DESIGN - An
3-4-1
PROBLEM 3-4
The trailer hitch from Figure 1-1 (p. 12) has loads applied as shown in Figure P3-2. The Statement: tongue weight of 100 kg acts downward and the pull force of 4905 N acts horizontally. Using the dimensions of the bal
MACHINE DESIGN - An
3-21-1
PROBLEM 3-21
Figure P3-9 shows an automobile wheel with two common styles of lug wrench being used to Statement: tighten the wheel nuts, a single-ended wrench in (a), and a double-ended wrench in (b). In each case two hands are
MACHINE DESIGN - An
3-2a-1
PROBLEM 3-2a
Statement: Draw free-body diagrams for the system of Problem 3-1a (bicycle frame). Assumptions: 1. A two-dimensional model is adequate. 2. The lower front-fork bearing at C takes all of the thrust load from the fron
MACHINE DESIGN - An
3-13-1
PROBLEM 3-13
Determine the impact force and dynamic deflection that will result when a 100-kg person Statement: jumps up 25 cm and lands back on the board. Assume the board weighs 19 kg and deflects 8.5 cm statically when the pe
MACHINE DESIGN - An
3-12-1
PROBLEM 3-12
An overhung diving board is shown in Figure P3-4b. Find the reaction forces and construct Statement: the shear and moment diagrams for this board with a 100 kg person standing at the free end. Determine the maximum
MACHINE DESIGN - An
3-11-1
PROBLEM 3-11
Determine the impact force and dynamic deflection that will result when the 100-kg person Statement: in Problem 3-10 jumps up 250 mm and lands back on the board. Assume that the board weighs 29 kg and deflects 131 m
MACHINE DESIGN - An
3-9-1
PROBLEM 3-9
A ViseGrip plier-wrench is drawn to scale in Figure P3-3. Scale the drawing for dimensions. Statement: Find the forces acting on each pin and member of the assembly for an assumed clamping force of P = 4000 N in the p
MACHINE DESIGN - An
15-1-1
PROBLEM 3-8
Statement:
_
A cam-follower system similar to that shown in Figure 3-15 has a mass m = 1 kg, a spring constant k = 1000 N/m, and a damping coefficient d = 19.4 N-s/m. Find the undamped and damped natural frequencies
MACHINE DESIGN - An
3-6-1
PROBLEM 3-6
For the trailer hitch of Problem 3-4, determine the horizontal force that will result on the Statement: ball from an impact between the ball and the tongue of the 2000-kg trailer if the hitch deflects 2.8 mm dynamical
MACHINE DESIGN - An
3-5-1
PROBLEM 3-5
For the trailer hitch of Problem 3-4, determine the horizontal force that will result on the Statement: ball from accelerating a 2000-kg trailer to 60 m/sec in 20 sec. Units: Given: kN
3 10 .newton
Mass of trailer Fin
MACHINE DESIGN - An
3-15-1
PROBLEM 3-15
A pen plotter imparts a constant acceleration of 2.5 m/sec 2 to the pen assembly, which travels Statement: in a straight line across the paper. The moving pen assembly weighs 0.5 kg. The plotter weighs 5 kg. What co
MACHINE DESIGN
An Integrated Approach
3-16-1
PROBLEM 3-16
Statement: A track to guide bowling balls is designed with two round rods as shown in Figure P3-6. The rods are not parallel to one another but have a small angle between them. The balls roll on th
MACHINE DESIGN - An
3-19-1
PROBLEM 3-19
Assume that the CG of the paper rolls in Problem 3-18 is 2.5 ft above the floor of the trailer. Statement: At what speed on the same curve will the pile of rolls tip over (not slide) with respect to the trailer? Giv
MACHINE DESIGN - An
1-9-1
PROBLEM 1-9
Prepare a Mathcad template from which the mass properties for the solids shown in Statement: Appendix B can be calculated. Units: Solution: blob lbf .sec in See Appendix B and Mathcad file P0109. a 2 .in b 3 .in V M c
MACHINE DESIGN - An
2-5-1
PROBLEM 2-5
Statement: Which of the thermoplastic polymers shown in Figure 2-22 would you choose to obtain (a) Maximum strength (b) Maximum modulus of resilience (c) Maximum modulus of toughness (d) Maximum stiffness ksi
3 10 .ps
MACHINE DESIGN - An
2-4-1
PROBLEM 2-4
Which of the aluminum alloys shown in Figure 2-21 would you choose to obtain Statement: (a) Maximum strength (b) Maximum modulus of resilience (c) Maximum modulus of toughness (d) Maximum stiffness Units: Given: Solut
MACHINE DESIGN - An
2-3-1
PROBLEM 2-3
Statement: Which of the steel alloys shown in Figure 2-19 would you choose to obtain (a) (b) (c) (d) Units: Given: Solution: ksi Maximum strength Maximum modulus of resilience Maximum modulus of toughness Maximum stif
MACHINE DESIGN - An
2-2-1
PROBLEM 2-2
Determine an approximate ratio between the yield strength and ultimate strength for each Statement: material shown in Figure P2-1. Solution: See Figure P2-1 and Mathcad file P0202.
1. The yield strength is the value o
MACHINE DESIGN - An
2-1-1
PROBLEM 2-1
Figure P2-1 shows stress-strain curves for three failed tensile-test specimens. All are plotted Statement: on the same scale. (a) Characterize each material as brittle or ductile. (b) Which is the stiffest? (c) Which
MACHINE DESIGN - An
3-22-1
PROBLEM 3-22
Statement: A roller-blade skate is shown in Figure P3-10. The polyurethane wheels are 72 mm dia. The skate-boot-foot combination weighs 2 kg. The effective "spring rate" of the person-skate subsystem is 6000 N/m. Fi
MACHINE DESIGN - An
3-20-1
PROBLEM 3-20
Assume that the load of paper rolls in Problem 3-18 will slide sideways at a truck speed of 20 Statement: mph on the curve in question. Estimate the impact force of the cargo against the trailer wall. The force-defl
MACHINE DESIGN - An
3-1-1
PROBLEM 3-1
Statement: Which load class from Table 3-1 best suits these systems? (a) Bicycle frame (b) Flag pole (c) Boat oar (d) Diving board (e) Pipe wrench (f) Golf club. See Mathcad file P0301.
Solution:
1. Determine whether