## Strength of materials |

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Page 85

To balance the applied axial load P, the exposed shaded

spring must provide the resistance P, equal to P. The free body is now in

equilibrium as far as a vertical and horizontal summation of forces is concerned.

To balance the applied axial load P, the exposed shaded

**cross section**of thespring must provide the resistance P, equal to P. The free body is now in

equilibrium as far as a vertical and horizontal summation of forces is concerned.

Page 170

If the

the beam if the shearing stress is limited to 80 psi. Assume the load acts over the

entire length of the beam. Ans. 12.6 ft 10 in. Figure P-570 and P-571 571.

If the

**cross section**is as shown in Fig. P-570, determine the maximum length ofthe beam if the shearing stress is limited to 80 psi. Assume the load acts over the

entire length of the beam. Ans. 12.6 ft 10 in. Figure P-570 and P-571 571.

Page 320

This shaded area is known as the kern of the

a circular section is a circle whose diameter is one- quarter the diameter of the

section. PROBLEMS 918. A compressive load P = 12 kips is applied, as in Fig.

This shaded area is known as the kern of the

**cross section**. Show that the kern ofa circular section is a circle whose diameter is one- quarter the diameter of the

section. PROBLEMS 918. A compressive load P = 12 kips is applied, as in Fig.

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### Common terms and phrases

allowable stresses aluminum angle area-moment assumed axes axial load beam in Fig beam loaded beam shown bending bolts cantilever beam caused centroid column components compressive stress Compute the maximum concentrated load connector cross section deformations Determine the maximum diameter elastic curve element end moments equal equivalent Euler's formula factor of safety fibers Figure flange flexure formula free-body diagram Hence Hooke's law horizontal Illustrative Problem kips lb/ft length loaded as shown main plate maximum shearing stress maximum stress method midspan deflection Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius reaction rectangular resisting resultant rivet rotation segment shaft shear center shear diagram shearing force shown in Fig slope Solution span static steel strain tensile stress thickness three-moment equation torque torsional U.S. Customary Units uniformly distributed load vertical shear weld zero