Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Chapter 4.1, Problem 14P
To determine
(a)
Tension in the cable.
To determine
(b)
Reaction at point C.
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Given answers to be: i) 14.65 kN; 6.16 kN; 8.46 kN ii) 8.63 kN; 9.88 kN iii) Bearing 6315 for B1 & B2, or Bearing 6215 for B1
(b)
A steel 'hot rolled structural hollow section' column of length 5.75 m, has
the cross-section shown in Figure Q.5(b) and supports a load of 750 kN.
During service, it is subjected to axial compression loading where one end
of the column is effectively restrained in position and direction (fixed) and
the other is effectively held in position but not in direction (pinned).
i)
Given that the steel has a design strength of 275 MN/m², determine
the load factor for the structural member based upon the BS5950
design approach using Datasheet Q.5(b).
[11]
ii)
Determine the axial load that can be supported by the column
using the Rankine-Gordon formula, given that the yield strength of
the material is 280 MN/m² and the constant *a* is 1/30000.
[6]
300
600
2-300 mm
wide x 5 mm
thick plates.
Figure Q.5(b)
L=5.75m
Pinned
Fixed
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Chapter 4 Solutions
Statics and Mechanics of Materials
Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A 3200-lb forklift truck is used to lift a 1700-lb...Ch. 4.1 - A gardener uses a wheelbarrow to transport a 250-N...Ch. 4.1 - A load of lumber of weight W=25 kN is being raised...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - Prob. 8PCh. 4.1 - Prob. 9PCh. 4.1 - The lever BCD is hinged at C and attached to a...
Ch. 4.1 - The lever BCD is hinged at C and attached to a...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - Determine the reactions at A and B when...Ch. 4.1 - Prob. 14PCh. 4.1 - Prob. 15PCh. 4.1 - Prob. 16PCh. 4.1 - A light bar AD is suspended from a cable BE and...Ch. 4.1 - Prob. 18PCh. 4.1 - Prob. 19PCh. 4.1 - Two slots have been cut in plate DEF, and the...Ch. 4.1 - A 6-m telephone pole weighing 1600 N is used to...Ch. 4.1 - Prob. 22PCh. 4.1 - For the and crate of Prob. 4.22 and assuming that...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - The bracket ABC can be supported in the eight...Ch. 4.1 - Eight identical 500750-mm rectangular plates, each...Ch. 4.2 - Determine the reactions at B and C when a=30mm.Ch. 4.2 - Prob. 28PCh. 4.2 - A 12-ft wooden beam weighing 80 lb is supported by...Ch. 4.2 - Prob. 30PCh. 4.2 - One end of rod AB rests in the comer A and the...Ch. 4.2 - Using the method of Sec. 4.2B, solve Prob. 4.12.Ch. 4.2 - Prob. 33PCh. 4.2 - A 40-lb roller of 8-in. diameter, which is to be...Ch. 4.2 - Member ABC is supported by a pin and bracket at B...Ch. 4.2 - Prob. 36PCh. 4.2 - Prob. 37PCh. 4.2 - For the frame and loading shown, detennine the...Ch. 4.2 - For the boom and loading shown, determine (a) the...Ch. 4.2 - A slender rod BC of length L and weight W is held...Ch. 4.2 - Prob. 41PCh. 4.2 - Prob. 42PCh. 4.2 - Prob. 43PCh. 4.2 - Prob. 44PCh. 4.2 - Solve Prob. 4.44, assuming that the 170-N force...Ch. 4.2 - Prob. 46PCh. 4.2 - Prob. 47PCh. 4.2 - Prob. 48PCh. 4.2 - Prob. 49PCh. 4.2 - Prob. 50PCh. 4.3 - Two transmission belts pass over a double-sheaved...Ch. 4.3 - Solve Prob. 4.51, assuming that the pulley rotates...Ch. 4.3 - A 48-ft sheet of plywood weighing 40 lb has been...Ch. 4.3 - Prob. 54PCh. 4.3 - Prob. 55PCh. 4.3 - Prob. 56PCh. 4.3 - Prob. 57PCh. 4.3 - Prob. 58PCh. 4.3 - Prob. 59PCh. 4.3 - Prob. 60PCh. 4.3 - A 48-in. boom is held by a ball-and-socket joint...Ch. 4.3 - Prob. 62PCh. 4.3 - The 6-m pole ABC is acted upon by a 455-N force as...Ch. 4.3 - A 600-lb crate hangs from a cable that passes over...Ch. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - Prob. 66PCh. 4.3 - Prob. 67PCh. 4.3 - Prob. 68PCh. 4.3 - A 10-kg storm window measuring 9001500 mm is held...Ch. 4.3 - Prob. 70PCh. 4.3 - Prob. 71PCh. 4.3 - Solve Prob. 4.69, assuming that the hinge at A has...Ch. 4.3 - Prob. 73PCh. 4.3 - Three rods are welded together to form a corner...Ch. 4.4 - Determine whether the block shown is in...Ch. 4.4 - Prob. 76PCh. 4.4 - Determine whether the block shown is in...Ch. 4.4 - Prob. 78PCh. 4.4 - Prob. 79PCh. 4.4 - Prob. 80PCh. 4.4 - Prob. 81PCh. 4.4 - Prob. 82PCh. 4.4 - Prob. 83PCh. 4.4 - Knowing that P=100N, determine the range of values...Ch. 4.4 - A 120-lb cabinet is mounted on casters that can be...Ch. 4.4 - Prob. 86PCh. 4.4 - A 40-kg packing crate must be moved to the left...Ch. 4.4 - A 40-kg packing crate is pulled by a rope as...Ch. 4.4 - Prob. 89PCh. 4.4 - Prob. 90PCh. 4.4 - Prob. 91PCh. 4.4 - Prob. 92PCh. 4.4 - Prob. 93PCh. 4.4 - Prob. 94PCh. 4.4 - Prob. 95PCh. 4.4 - Prob. 96PCh. 4.4 - The cylinder shown is of weight W and radius r,...Ch. 4.4 - Prob. 98PCh. 4 - A T-shaped bracket supports the four loads shown....Ch. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - Member ABC is supported by a pin and bracket at B...Ch. 4 - Prob. 102RPCh. 4 - Prob. 103RPCh. 4 - Prob. 104RPCh. 4 - Prob. 105RPCh. 4 - Prob. 106RPCh. 4 - Prob. 107RPCh. 4 - Prob. 108RPCh. 4 - Prob. 109RPCh. 4 - Two 10-lb blocks A and B are connected by a...
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