Thursday, September 12, 2013

Part-3 GATE 2014 preparation - Structural mechanics- one liners

1. A brittle material of 4 sq. cm cross section carries an axial tensile load of 20 tonnes. The maximum shear stress in the block will be 2500 kg/cm^2.

2. Maximum allowable shear stress in a section is 100 kg.cm^2. If bar is subjected to a tensile force of 5000kg and the section is square shaped, then dimension of sides of the square will be 5 cm.

3. A simply supported beam of span L carries a concentrated load P at mid-span. If d be the width of the beam being constant and its depth varying through out its length of the spans, its mid-span depth when its design stress is 'f' will be [(3PL)/(2df)]^(1/2)

4. If an element of a stressed body is in a state of pure shear with a magnitude of 40 N/mm^2, then magnitude of maximum principal stress at that location is 40 N/mm^2.

5. Dimension of the flexural rigidity of a beam element in mass[M] and length[L] and time[T] is given by [M][L]^3[T]^-2

6. A cylinderical shell made of mild steel plate of 100 cm diameter is to be subjected to an internal pressure of 10 kg/cm^2. If material yields at 2000 kg/cm^2, assuming factor of safety as 4 and using maximum principal stress theory, thickness of the plate will be 1cm.

Reference: 
 1. GATE 2013 : GK Publishers

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