A rigid beam ABCD is hinged at D and supported by two springs at A and B as shown in the given figure.The beam carries a vertical load P at C. The stiffness of spring at A is 3K and that of B is 2K. Then the ratio of forces of spring at A and that of spring at B is __________
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If the hypotenusal allowance for ground A for a 20 m chain and for ground B for a 30 mchain is the same. The ratio of the gradient at ground A to that of ground B is
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At a point in a piece of stressed material the stresses are
σx KN/m2 Normal tensilet
τxy= τyx = β KN/m2 Shearing
Although the values of a and bare not known yet the principal stresses are equal to each other being γ KN/m2.Then the radius of Mohr’s circle will be
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As the principal stresses, both are equal hence it can be concluded that Mohr's circle will reprent a point at a distnace g from the centre. Hence its radius will be zero.
Diagonal members at the stiffners matrix are
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A reinforced concrete rectangular beam of width 300 mm and depth 600 m, overall depth = 650 mm is subjected to factored shear force Vu= 70 kN in one section. Assuming the percentage tensile reinforcement to be 0.5 in that section. Determine the factored torsional moment in that section is KNm when no additional reinforcement for torsion is provided _______.
Take τc= 0.5 N/mm2 and τc max = 3.5 N/mm2.
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3.75
The maximum area (in square units) of a rectangle whose vertices lie on the ellipse x2 + 4y2= 1 is ______.
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Consider the first order initial value problem
y’ =y + 2x– x2, y(0) = 1, (0 ≤ x < ∞) with exact solution y(x) = x2+ ex. For x= 0.1, the percentage difference between the exact solution and the solution obtained using a single iteration of the second-order Runge-Kutta method with step-size h= 0.1 is __________
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For f(z)=\(\frac{sin(z)}{z^{2}}\),the residue of the pole at z= 0 is
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Consider a 2 × 2 square matrix
\(A=\begin{bmatrix} \sigma & x \\ \omega & \sigma \end{bmatrix}\)where x is unknown. If the eigenvalues of the matrix A are(σ + jω) and (σ – jω), then xis equal to
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