Check for deflection due to prestressing force if given data is Prestressing force is 182×103 eccentricity of cable is 105, Length of the cable is 1000, elastic modulus of concrete is 34×103, Moment of inertia is 3200×105?

Find the deflection due to self weight given that ϕ = 1.6, Ee = 2.6Ece, elastic modulus of concrete is 34×103, gravity is given as 6, self weight is 0.76, Length of the cable is 1000, elastic modulus of concrete is 34×103 , Moment of inertia is 3200×105?

A

1.66mm

B

5.3mm

C

23.4mm

D

1.02mm

Which of the following statements is/are true about the advantages of prestressed concrete structure? A. In the prestressed concrete structure, the deflection of beams is considerably reduced. B. Prestressing decreases cracks in concrete under all stages of loading. C. Prestressed concrete requires only 1/3 rd of the concrete required for R.C.C.

A

Only A

B

B and C

C

A, B and C

D

Only C

A rectangular prestressed beam 150 mm wide and 300mm deep is used over a effective span of 10m and the cable with zero eccentricity at the supports, linearly varying to 50mm at the centre carries an effective prestressing force of 500kn(Z=225×104). Evaluate stress due to prestressing?

A

22.2n/mm2

B

42.2n/mm2

C

32.2n/mm2

D

52.2n/mm2

The moment of inertia of a uniform sphere of radius, r about an axis passing through its centre is given by $$\frac{2}{5}\left( {\frac{{4\pi }}{3}{r^5}\rho } \right).$$ A rigid sphere of uniform mass density $$\rho $$ and radius R has two smaller spheres of radii $$\frac{R}{2}$$ hollowed out of it as shown in the figure given below.
Classical Mechanics mcq question image

The moment of inertia of the resulting body about Y-axis is

A

$$\frac{{\pi \rho {R^5}}}{4}$$

B

$$\frac{{5\pi \rho {R^5}}}{{12}}$$

C

$$\frac{{7\pi \rho {R^5}}}{{12}}$$

D

$$\frac{{3\pi \rho {R^5}}}{4}$$

Consider the following statements in connection with deflection-type and null-type instruments: 1. Null-type instruments are more accurate than the deflection-type ones. 2. Null-type of instrument can be highly sensitive compared to a deflection-type instrument. 3. Under dynamic conditions, null-type instruments are less preferred to deflection-type instruments. 4. Response is faster in null-type instruments as compared to deflection-type instruments. Which of the above statements are correct?

A

1, 2 and 3

B

1, 2 and 4

C

1, 3 and 4

D

2, 3 and 4

Consider the following statements concerning elasticity of concrete 1. Stress-strain behaviour of concrete is a straight line up to 10% of ultimate stress. 2. Strain determination is obtained from tangent modulus. 3. Modulus of elasticity, of concrete is also called as secant modulus. Which of the above statements are correct?

A

1, 2 and 3

B

1 and 3 only

C

1 and 2 only

D

2 and 3 only

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)

For a beam, as shown in the below figure, the deflection at C is (where E = Young's modulus for the beam material and $$I$$ = Moment of inertia of the beam section.)
Strength of Materials in ME mcq question image

Strength of Materials in ME mcq question image

A

$$\frac{{{\text{W}}{l^3}}}{{48{\text{E}}I}}$$

B

$$\frac{{{\text{W}}{{\text{a}}^2}{{\text{b}}^2}}}{{3{\text{E}}Il}}$$

C

$$\frac{{{\text{Wa}}}}{{{\text{a}}\sqrt 3 {\text{E}}Il}} \times {\left( {{l^2} - {{\text{a}}^2}} \right)^{\frac{3}{2}}}$$

D

$$\frac{{5{\text{W}}{l^3}}}{{384{\text{E}}I}}$$

The given table shows the number of employees appointed by different organizations in the given years. Year Organizations P Q R S T U 2007 92 102 84 100 95 98 2008 104 107 94 99 96 105 2009 96 119 93 102 98 103 2010 101 100 86 88 97 107 2011 85 117 84 103 102 99 2012 88 97 89 100 103 102 What is the respective ratio between the total employees appointed by the organization U in the year 2010 and 2012, and the total employees appointed by the organization P in the same years?

A

208 ∶ 198

B

189 ∶ 209

C

209 ∶ 189

D

198 ∶ 208

The given table shows the number of employees appointed by different organizations in the given years. Year Organizations P Q R S T U 2007 92 102 84 100 95 98 2008 104 107 94 99 96 105 2009 96 119 93 102 98 103 2010 101 100 86 88 97 107 2011 85 117 84 103 102 99 2012 88 97 89 100 103 102 In the year 2008, the number of employees appointed by the organization R is how much percentage more from the previous year? (Around the nearest integer)

A

12

B

14

C

16

D

10

Check for deflection due to prestressing force if given data is Prestressing force is 182×103 eccentricity of cable is 105, Length of the cable is 1000, elastic modulus of concrete is 34×103, Moment of inertia is 3200×105?

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