महाराष्ट्र अभियंता सेवा (स्थापत्य) मुख्य परीक्षा २०१५ पेपर १

Two rods of different materials having coefficient of linear expansion a, a, and Young's moduli E, E, respectively are fixed between to massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If , the thermal stresses are equal, what is the ratio of E₁ to E₂ ?

The phenomenon of slow growth of strain under a steady stress is called :

A rectangular timber beam (bxd) is cut out of a cylindrical log of diameter 'D'. The width (b) of the strongest timber beam will be :

A rigid frame detailed to provide good ductility and support for both lateral and gravity loads by flexural action is called :

A fixed base symmetrical frame is shown in the figure write slope deflection equation for moment at B for member AB : 

A propped cantilever is subjected to a concentrated load of 16 kN at the centre of the span. The length of beam is 4 m. The flexural rigidity EI =4x10² kNm². The reactions at the fixed end and simply supported end are :

Fill in the blanks : 

The primary unknowns in slope deflection methods are __________ and obtained by solving ___________ equations.

A rigid jointed frame with three bays and two stories has two fixed column supports and two hinged. The degree of static indeterminacy of structure is :

Three prismatic members AB, BC and BD meet at a joint for a rigid frame to be analysed using moment distribution method. The distribution factors for members AB and BC are 0.5 and 0.3 respectively. The distribution factor for member BD shall be :

A propped cantilever of span 'L' fixed at A and simply supported at B is subjected to concentrated load 'W' at centre, reaction at B:

A rigid frame ABCD with vertical members AB and CD is pinned at A and roler supported at 'D'. Horizontal member BC is loaded with vertical point load of 90 KN at the centre of BC. AB = BC = CD = 3 m. If support A rotates by 1/300 rad. and also sinks downward by 30 mm. The reactions at A and D:

A moment'K' required to rotate near end of a prismatic beam through a unit angle without translation, the far end being freely supported is given by :

A truss deflection is to be calculated for a point 'X' using unit load method. Find the contribution to deflection by a truss member having details as below 

Lenght=8.00 m Area=11.25 x 10^-3 m²

Internal force resisted by member under actual loading condition=450 kN (compression) modulus of elasticity = 200 x 106 kN/m²

Internal force after unit load application=0.0 KN

A continuous beam ABCD has end A as fixed and support B and C are simple supports while end D is free. The fixed end moments for beam AB are FEM_AB = -19.2 kNm and FEM_AB = 28.8 kNm. The moment equation for slope deflection method for beam AB can be written as :

The degree of static indeterminacy of pin-jointed space frame is given by :

If load system applied on the arch is entirely vertical the horizontal thrust at each of the supports must be : 

If k; is the stiffness of ith member at a joint, the distribution factor for the member is :

The Kinematic Indeterminacy of a frame as shown is : 

A rigid frame ABCD has AB member as overhang, with end 'A' being free. Supports C and D are fixed. DB is vertical member and BC is horizontal member. DB=BC=5 m. If the moment equations are given by :  

The fixed end moment for the beam loaded is :