## Strength of materials |

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Page 262

The

slope at the left end is directed up to the left, whereas at the right 72EI end the

slope is wL3 72EI directed up to the right. Determine the end moments. 736.

The

**beam**shown in**Fig**. P-735 is only partially restrained at its ends. wL3 Theslope at the left end is directed up to the left, whereas at the right 72EI end the

slope is wL3 72EI directed up to the right. Determine the end moments. 736.

Page 263

u; lb/ft v w lb/ft (b) Load simply supported (a) Restrained

loading

these end slopes by adding the loading in

02 = 02, ...

u; lb/ft v w lb/ft (b) Load simply supported (a) Restrained

**beam**(c) End coupleloading

**Fig**. 7-1 1. — Restrained**beam**resolved into simple**beam**loadings.these end slopes by adding the loading in

**Fig**. 7-1 lc, we must have 6i = 6[ and02 = 02, ...

Page 299

Determine the value of EIS at B for the

(4L - 3a) (L - a) 24L 863. For the

of EIS midway between the supports and at the right end. 120 lb/ ft 120 lb/ ft 6' *i ...

Determine the value of EIS at B for the

**beam**shown in**Fig**. P-862. 3 Ans. EIS - —(4L - 3a) (L - a) 24L 863. For the

**beam**shown in**Fig**. P-863, determine the valueof EIS midway between the supports and at the right end. 120 lb/ ft 120 lb/ ft 6' *i ...

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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