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Find resultant force in magnitude and direction if a particle is acted upon by following forces.
The beam AB of span 12 m shown in Fig. 1 is hinged at A and is on rollers at B. Determine the reactions at A and B for the loading shown in the Fig.
A cantilever of length 2 meters fails when a load of 2 kN is applied at the free end. If the section of the beam is 40 mm×60 mm, find the stress at the failure.
Derive using first principle the equation for calculation of maximum shear stress at a section for a beam with rectangular cross section.
A wooden beam 100 mm wide and 150 mm deep is simply supported over a span of 4 meters. If the shear force at a section of the beam is 4500 N, find the shear stress at a distance of 25 mm above the neutral axis (N.A.).
Draw shear stress distribution diagram for Rectangular, Circular T section and I section.
A simply supported wooden beam of span 1.3 m having a cross-section 150 mm wide by 250 mm deep carries a point load W at the center. The permissible stresses are 7 N/mm² in bending and 1 N/mm² in shearing. Calculate the safe load W.
Find the moment of inertia of ISA 100×75×6 about the centroidal XX and YY axes, shown in
A rod 150 cm long and of diameter 2.0 cm is subjected to an axial pull of 20 kN. If the modulus of elasticity of the material of the rod is 2×10⁵ N/mm², determine:(i) the stress,
A metallic bar 300 mm×100 mm×40 mm is subjected to a force of 5kN (tensile),6kN (tensile), and 4 kN (tensile) along x, y, and z directions, respectively. Determine the change in the volume of the block.Take E=2×10⁵ N/mm² and Poisson's ratio =0.25
A short concrete column 450 mm × 450 mm in section is axially loaded to 500 kN. The column is strengthened by four, 16 mm diameter steel bars each one at corner. Calculate stresses in concrete and steel. Take Ec = 14 GPa and Es = 210 GPa.
A brass bar, having a cross-sectional area of 1000 mm² is subjected to axial forces as shown in Fig.5. Find the total elongation of the bar. Take E=1.05×10⁵ N/mm²
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Official Gujarat Technological University (GTU) examination paper for Mechanics of Solids (Summer 2025, B.E. · Common Engineering, Sem 1). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.
Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.
BE01000091 Mechanics of Solids
Official GTU PDF · Summer 2025
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