International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 6, Problem 6.64P
The two main cables of the Akashi Kaikyo suspension bridge in Japan have a span
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2 A metal block of mass m = 10 kg is sliding along a frictionless surface with an initial speed
Vo, as indicated below. The block then slides above an electromagnetic brake that applies a
force FEB to the block, opposing its motion. The magnitude of the electromagnetic force
varies quadratically with the distance moved along the brake (x):
10
FEB = kx²,
with k
= 5
N
m²
V₁ = 8 m/s
m = 10 kg
FEB
Frictionless surface
Electromagnetic brake
⇒x
Determine how far the block slides along the electromagnetic brake before stopping, in m.
Q1: Determine the length, angle of contact, and width of a 9.75 mm thick
leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The
diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at
300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The
density of the leather is 1000 kg/m³. The maximum allowable stress in the
leather is 2.5 MPa. The coefficient of friction between the leather and pulley is
0.3. Assume open belt drive.
5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having
20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made
of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel
having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day
under light shock conditions, find from the standpoint of strength,
1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear.
Check the gears thus designed from the consideration of wear. The surface endurance limit may be
taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]
Chapter 6 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force system acting on...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - The three identical cantilever beams carry...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - For the structural component shown, determine the...Ch. 6 - Compute the internal force system acting on...
Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - Find the internal force system acting on section 3...Ch. 6 - The structure is supported by a pin at C and a...Ch. 6 - The 1800lbin. couple is applied to member DEF of...Ch. 6 - A man of weight W climbs a ladder that has been...Ch. 6 - For the ladder in Prob. 6.17, find the internal...Ch. 6 - Determine the internal force system acting on...Ch. 6 - The equation of the parabolic arch is y=(36x2)/6,...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - Derive the shear force and the bending moment as...Ch. 6 - Derive the shear force and the bending moment as...Ch. 6 - The 24-ft timber floor joist is designed to carry...Ch. 6 - For the beam AB shown in Cases 1 and 2, derive and...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Show that the tension acting at a point in a...Ch. 6 - The cable of the suspension bridge spans L=140m...Ch. 6 - The two main cables of the Akashi Kaikyo...Ch. 6 - Cable AB supports the uniformly distributed load...Ch. 6 - A uniform 80-ft pipe that weighs 960 lb is...Ch. 6 - The cable AB supports a uniformly distributed load...Ch. 6 - The string attached to the kite weighs 0.4 oz/ft....Ch. 6 - Show that the tension acting at a point in a...Ch. 6 - A uniform cable weighing 16 N/m is suspended from...Ch. 6 - The tensions in the cable at points O and B are...Ch. 6 - The cable AOB weighs 24 N/m. Determine the sag H...Ch. 6 - The cable of mass 1.8 kg/m is attached to a rigid...Ch. 6 - One end of cable AB is fixed, whereas the other...Ch. 6 - The end of a water hose weighing 0.5 lb/ft is...Ch. 6 - The 50-ft measuring tape weighs 2.4 lb. Compute...Ch. 6 - The cable AOB weighs 5.2 N/m. When the horizontal...Ch. 6 - The chain OA is 25 ft long and weighs 5 lb/ft....Ch. 6 - The 110-lb traffic light is suspended from two...Ch. 6 - The cable carrying 60-lb loads at B and C is held...Ch. 6 - The cable ABCD is held in the position shown by...Ch. 6 - Find the forces in the three cable segments and...Ch. 6 - The cable carrying three 400-lb loads has a sag at...Ch. 6 - The cable supports three 400-lb loads as shown. If...Ch. 6 - Cable ABC of length 5 m supports the force W at B....Ch. 6 - When the 12-kN load and the unknown force P are...Ch. 6 - The cable is loaded by an 80-lb vertical force at...Ch. 6 - The 15-m-long cable supports the loads W1 and W2...Ch. 6 - The cable of length 15 m supports the forces...Ch. 6 - The 14-kN weight is suspended from a small pulley...Ch. 6 - For the cable ABCD determine (a) the angles 2 and...
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