CHAPTER m. STRENGTH OP ROPE, THE teim stress denotes the load put on material, and strain is the molecular disturbance made evident by a change of shape or a fracture of the material due to the stress which has been applied. Stress comes before strain and the transition from stress to strain ' introduces another factor called the "modulus of elasticity," Young's modulus=stress divided by strain, within the limits of proportionality. The term breaking or ultimate strength is the load or weight applied to material when testing it to destruction. Rope is made of hemp, manila and coir, their relative strengths being in the order named. Splicing a rope reduces its strength about one-quarter, and three stranded ropes are stronger than the corres- ponding size of four stranded ropes. No rigorous rule can be laid down to arrive at the ultimate breaking strengths of different sized ropes as so much depe&ds upon the quality of the natural fibre and the process adopted in its manufacture. The size of a rope is expressed in terms of its circumference given in inches, and a fair estimate of the breaking strength of good, honest hemp or C2 manila is obtained from the formula —, where G is the size of the rope, o Nor can a hard and fast rule be laid down to estimate the safe working load for a given size of rope, but one-sixth of its ultimate strength offers a good factor of safety in order to resist excessive stresses due to sudden jerks on the fall. When an occasional lift is made there O2 is not so much wear and tear on the gear and — may *be accepted as giving a safe margin. / Ewmpk—-Given a 3-inchmanila rope, estimate its ultimate strength and. safe working loads. C2 9 Ultimate strength=—=1=5 3 tons. 3 3 34