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  1. Answer the following questions:

  1. How many theories were there in the 19th century?

  2. What theory was generally accepted?

  3. How many editions did textbook Manual of Applied Mechanics have?

  4. What two notes did Tresca present?

  5. What statement did Maxwell make?

  6. What outstanding scientists did researches?

  7. Compare strength theories.

    1. Decide, whether the statements below are true or false:

      1. From the history we know that there were three strength theories in the 19th century.

      2. The maximum stress theory considers the maximum or minimum principal stress as the criterion for strength.

      3. The well known textbook of Rankine's Manual of Applied Mechanics has many editions.

      4. In 1864, Tresca presented two notes dealing with the flow of metals under great stress to the French Academy.

      5. Guest theory gives better agreement with experiment for some brittle materials and is simple to apply.

      6. In 1856, Maxwell suggested that the total stress energy per unit volume can be resolved into two parts.

      7. Strength theory was studied by scientists at the end of the 19th century.

  1. Match the first part of the sentence (1-7) with the second part (a-g).

    1. The maximum stress theory was the first theory relating to the …..

    2. Mariotte made the first statement on the maximum elongation …..

    3. Maximum strain theory was generally accepted, principally under …..

    4. This theory gives better agreement with experiment for .….

    5. At that time, Maxwell already had the theory of yielding …..

    6. It took researchers considerable time before they finally …..

    7. Comparisons of strength theories as applied to various design …..

      1. ….. some ductile materials and is simple to apply.

      2. ….. which we now call the maximum distortion energy theory.

      3. ….. criterion or maximum strain criterion.

      4. ….. problems were given in a paper by Marin and a book by Nadai.

      5. ….. the influence of two French academicians Poncelet and Saint-Venant.

      6. ….. developed the theory identical with that of Maxwell.

      7. ….. strength of materials under complex stress.

  1. Translate the following words and word combinations into Ukrainian:

strength theories, strength of materials, principal stress, criterion, statement, maximum elongation, normal stress criterion, influence, authority, yield point strain in simple tension, under great pressure, shear stress, specific constant, agreement, experiment, ductile materials, intermediate principal stress, criterion of failure, uniform, plasticity, compression, volume, reason.

  1. Make up word combinations from the following words, translate them into Ukrainian:

    1. strength a) value

    2. principal b) energy

    3. strain c) theories

    4. uniform d) criterion

    5. critical e) distortion

    6. stress f) stress

    7. maximum g) tension

8. Match English words with their Ukrainian equivalents:

1. distortion a) твердження

2. value b) продовження

3. investigation c) вплив

4. researcher d) значення

5. statement e) викривлення

6. elongation f) наукове дослідження

7. influence g) дослідник

9. Make a summary of the text.

ANNEX