## Strength of materials |

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Page 49

P-251, a rigid beam is

except for length. Determine the load in each rod if W = 6600lb. Ans. PA = 4500

lb; PB = 6000lb 252. Solve Prob. 251 if bar A is aluminum and the other is steel.

Take Ea = 10 X 106 psi and E, = 30 X 106 psi. ////// /////// B (//(/// A\ L=4' — 4'- L-6'

2H Bronze Steel A =2 in? A =0.5 in.2 E = 12xl06 £-30xl06 ////// h3H L-3' 8' -4'H L-

10' W Fig. P-251 and P-252. Fig. P-253. bronze rod and a steel rod as shown in

Fig.

P-251, a rigid beam is

**hinged**at one end and supported by two rods, identicalexcept for length. Determine the load in each rod if W = 6600lb. Ans. PA = 4500

lb; PB = 6000lb 252. Solve Prob. 251 if bar A is aluminum and the other is steel.

Take Ea = 10 X 106 psi and E, = 30 X 106 psi. ////// /////// B (//(/// A\ L=4' — 4'- L-6'

2H Bronze Steel A =2 in? A =0.5 in.2 E = 12xl06 £-30xl06 ////// h3H L-3' 8' -4'H L-

10' W Fig. P-251 and P-252. Fig. P-253. bronze rod and a steel rod as shown in

Fig.

Page 393

flagpole column is given by 4£7tt2 4EIit2 P = (4L)5 1 EI*2 4 L2 (11-3) This load is

one-quarter the critical load on a

type of column is

the point of inflection can be shown to be nearly 0.7L from the

substituting an effective length Le = 0.7L in Eq. (11-1) gives L.=0.1L EItt2 L2 EItt2

(0.7 L)'' Eh2 (very nearly) (11-4) Fig. 1 1 -6. — Column

flagpole column is given by 4£7tt2 4EIit2 P = (4L)5 1 EI*2 4 L2 (11-3) This load is

one-quarter the critical load on a

**hinged**column of the same length. One othertype of column is

**hinged**at one end and built in at the other, as in Fig. 11-6. For it,the point of inflection can be shown to be nearly 0.7L from the

**hinged**end. Hencesubstituting an effective length Le = 0.7L in Eq. (11-1) gives L.=0.1L EItt2 L2 EItt2

(0.7 L)'' Eh2 (very nearly) (11-4) Fig. 1 1 -6. — Column

**hinged**at one end and ...Page 397

A bolt through each end secures the strut so that it acts as a

an axis perpendicular to the 2-in. dimension, and as a fixed-ended column about

an axis perpendicular to the f-in. dimension. Determine the safe central load,

using a factor of safety of 2 and E = 10.3 X 106 psi. Ans. P = 2770 lb 1104. A

square steel bar is to support a load of 20,000 lb on a length of 10 ft. Assuming

rounded ends, determine the length of each side. Ans. 1.85 in. 1105. Repeat

Prob. 1104 if ...

A bolt through each end secures the strut so that it acts as a

**hinged**column aboutan axis perpendicular to the 2-in. dimension, and as a fixed-ended column about

an axis perpendicular to the f-in. dimension. Determine the safe central load,

using a factor of safety of 2 and E = 10.3 X 106 psi. Ans. P = 2770 lb 1104. A

square steel bar is to support a load of 20,000 lb on a length of 10 ft. Assuming

rounded ends, determine the length of each side. Ans. 1.85 in. 1105. Repeat

Prob. 1104 if ...

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allowable stresses aluminum angle assumed axes axial load beam in Fig beam loaded beam shown bending bolt cantilever beam caused centroid CN CN column compressive stress Compute the maximum concentrated load concrete cover plate cross section deformation Determine the maximum diameter elastic curve end moments equal equivalent Euler's formula factor of safety fibers flange flexure formula free-body diagram ft long ft-lb Hence hinged Hooke's law horizontal ILLUSTRATIVE PROBLEMS lb/ft length loaded as shown main plate maximum shearing stress maximum stress midspan midspan deflection modulus Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius ratio reaction Repeat Prob resisting restrained beam resultant segment shaft shear center shear diagram shearing force shown in Fig Solution Solve Prob span static steel strain tensile stress thickness torque torsional uniformly distributed load vertical shear weld zero