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PART ‏تا‎

Answer any two full questions, each carries 15 marks
Draw the shear force and bending moment diagram for a cantilever of 6m
subjected to a UDL of 15 kN/m over the entire span and a concentrated load of
25 kN at the free end.
Derive the bending equation, stating the assumptions made.
Establish the relation between intensity of loading, shear force and bending
moment.
Draw shear force and bending moment diagram for the beam shown in Fig. I

and mark all important points.

20 KN

‎2m Fig. 1‏ هله ‎2m‏ ها ہت ‎॥‏ سکس ے_- ہے
‎A rectangular section is to be cut from a circular log of wood of diameter 400‏
‎mm. Find the dimensions of the strongest section in bending.‏

‎A flitched beam consists of a wooden joist 150 mm wide and 300 mm deep
strengthened by steel plate 10 mm thick and 300 mm deep on either side of the
joist. If the maximum stress in the wooden joist is 8 N/mm?, find the moment of
resistance of the section. Take Es = 20 Ew.

‎A simply supported rectangular beam of span 5 m has a cross section of 150 mm
x 200 mm and carries a point load of 20 kN at 2 m from the right support. Draw

‎the shear stress distribution at the mid span section of the beam.

‎PART C
Answer any two full questions, each carries 20 marks.
A close-coiled helical spring made of steel wire of diameter 6 mm has 15 coils.

‎The spring has mean coil diameter of 100 mm and is subjected to an axial load
of 'W' kg producing a maximum shear stress of 100 N/mm”. Determine the load
W and the deflection produced due to the load. Take G = 80 kN/mm?.

‎At a point in a strained material, the normal stresses on two mutually
perpendicular planes are 120 N/mm? (tensile) and 50 N/mm? (compressive). The

‎shear stress across these planes is 35 N/mm/2. Find using Mohr'’s stress circle,

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