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একটি ইস্পাতের তারের উপাদানের ইয়ং গুণাঙ্ক Y। যদি তারের ব্যাস দ্বিগুণ করা হয় তাহলে পরিবর্তিত ইয়ং গুণাঙ্ক কত হবে? (Young's modulus of the material of a steel wire is Y. If the diameter of the wire is doubled, what will be the changed Young's modulus?)
A পূর্বের সমান (the same as before)
B পূর্বের অর্ধেক (half the previous value)
C পূর্বের দ্বিগুণ (twice the previous value)
D পূর্বের চারগুণ (four times the previous value)
10 cm লম্বা ও 0.5 cm ব্যাসার্ধ বিশিষ্ট একটি তামা ও একটি লোহার তারকে জোড়া লাগিয়ে দৈর্ঘ্য 20 cm করা হল। জোড়া লাগানো তারটিকে বল প্রয়োগ করে লম্বা করা হল। লোহার ইয়ংয়ের গুণাঙ্ক তামার ইয়ংয়ের গুণাঙ্কের দুইগুণ হলে লোহার দৈর্ঘ্য বৃদ্ধি ও তামার দৈর্ঘ্য বৃদ্ধির অনুপাত কত? ( A steel and a brass wire, both having 10 cm length and 0.5 cm radius, are joined together making the total length of the combined wire 20 cm. The combined wire is stretched by applying a force. If the Young's modulus of steel is twice as much as that of brass, what will be the ratio of the extension of steel to the extension of brass?)
A 1 :8
B 1 : 6
C 1 : 4
D 1 : 2
10 cm লম্বা ও 0.5 cm ব্যাসার্ধ বিশিষ্ট একটি তামা ও একটি লোহার তারকে জোড়া লাগিয়ে দৈর্ঘ্য 20 cm করা হল। জোড়া লাগানো তারটিকে বল প্রয়োগ করে লম্বা করা হল। লোহার ইয়ংকের গুণাস্ক তামার ইয়ংকের গুণাস্কের দুইগুন হলে লোহার দৈর্ঘ্য বৃধি ও তামার দৈর্ঘ্য বৃদ্ধির অনুপাত কত? (A steel and a brass wire, both having 10 cm length and 0.5 cm radius, are joined together making the total length of the combined wire 20 cm. The combined wire is stretched by applying a force. If the Young‘s modulus of steel is twice as much as that of brass, what will be the ratio of the extension of steel to the extension of brass?)
A 1:8
B 1:6
C 1:4
D 1:2
Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio)?
A E = 2G (1 + v)
B E = G (1 + v)
C $${\text{E}} = \frac{{{\text{G}}\left( {1 + {\text{v}}} \right)}}{2}$$
D E = 2G (1 + 2v)
The relation between Young's modulus (E), shear modulus (C) and bulk modulus (K) is given by
A $${\text{E}} = \frac{{3{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
B $${\text{E}} = \frac{{6{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
C $${\text{E}} = \frac{{9{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
D $${\text{E}} = \frac{{12{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
The design stress, which is more than the damaging stress, is the least unit stress that will render a member unfit for service before the end of its normal life. The design stress factor or factor of safety indicates the margin between design stress and the __________ stress.
A Working
B Damaging
C Allowable
D None of these
Three elastic constants for a completely anisotropic elastic material which follows the Hooke's law are young's modulus, elastic limit stress and yield stress. Which of the following properties is most sensitive to increase in strain rate ?
A Tensile strength
B Elastic limit
C Proportional limit
D Yield strength
If the modulus of elasticity for a given material is twice its modulus of rigidity, then bulk modulus is equal to
A 2C
B 3C
C $$\frac{{2{\text{C}}}}{3}$$
D $$\frac{{3{\text{C}}}}{2}$$
If C is creep coefficient, f is original pre-stress in concrete, m is modular ratio, E is Young's modulus of steel and e is shrinkage strain, the combined effect of creep and shrinkage is:
A (1 - C) mf - eE
B (C - 1) mf + eE
C (C - 1) mf - eE
D (1 - C) mf + eE
The change in length due to a tensile or compressive force acting on a body is given by (where P = Tensile or compressive force acting on the body, $$l$$ = Original length of the body, A = Cross-sectional area of the body and E = Young's modulus for the material of the body)
A $$\frac{{{\text{P}}l{\text{A}}}}{{\text{E}}}$$
B $$\frac{{{\text{P}}l}}{{{\text{AE}}}}$$
C $$\frac{{\text{E}}}{{{\text{P}}l{\text{A}}}}$$
D $$\frac{{{\text{AE}}}}{{{\text{P}}l}}$$

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