An elevated structure is supported on a tripod. The  legs are spaced 4 m apart and form the apexes of an equilateral triangle. Compute the increase in the vertical stress at a depth of 3m (i) beneath the point of intersection of the angular bisector (ii) beneath the centre of one of the sides of the triangle if each one of the legs carries a concentrated load of 1000Kn. Explain with diagram.

Q.3 For the shown simply supported beam: i) Draw the shear force and bending moment diagrams and get the maximum values ii) Calculate the moment of inertia about the horizontal neutral axis (Ix) iii) Calculate the maximum stresses developed in the beam section iv) Sketch the normal stress distribution at the section of maximum stress 2 kN/m 400 mm -X ㅗ 200 mm 30 KN A 13.5 kN 4 m C 30 kN 2 m D -2 m- 30 KN B 24.5 KN

A simply supported rectangular beam of length 6.45m has a width of 437.5 and an effective depth of692.5. The beam is to be reinforced using 12 ?? bars. The beam supports service dead loads of31 kN/m and 39.5kN/m., respectively. 1. Calculate the ultimate moment capacity of the beam.2. Calculate the height of the equivalent stress block.3. Determine the number of bars required for this beam

%3D Determine the average normal stress in each bar if the diameter of each bar is 20 mm. Set P = 40 kN. TAC (TBC AB 1.5 m 2 m

An overhanging W920x449 rolled-steel beam supports several loads as shown in Figure 1. a) Draw the shear moment diagram. b) Determine the maximum value of normal stress (omax) applied on the beam. 200 kN 100 kN/m 100 kN.m B 1m 1m 2 m 3 m

1. If the 60 mm diameter shaft is subjected to an axial force of 10 kN, determine the average shear stress developed in the shear plane where the collar A and shaft are connected. 2.5 mm 60 mm 100 mm 10 kN 2.5 mm 15 mm

The overhanging beam supports the loads as shown in the figure. Determine the maximum shear stress in the beam.

Determine the normal stress and shear stress acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. A 15 ksi B 60° 6 ksi

Two identical loads distributed over circular areas are applied on an elastic two-layer system, as shown in the figure below. D E = 150,000 psi v = 0.5 h E = 30,000 psi v = 0.5 D/2 the dimensions and the magnitude of the surface stresses are: r= 6.5 in D= 16.25 in g = 75 psi h = 6.5 in Determine: 1. The total vertical deflection at point A 2. The total vertical deflection at point B 3. The total vertical deflection at point C

SITUATION 6 : A shaft is subjected to a torque of 16kN- m. The maximum permissible stress in the material of the shaft is 65 MPa. 13. Find the diameter of the solid shaft. a. 134.28 MPa b. 111.90 MPa c. 107.83 MPa d. 115.32 MPa 14. Find the external diameter of a hollow circular shaft if the thickness is 10% of the internal diameter. a. 134.28 MPa b. 111.90 MPa c. 107.83 MPa d. 115.32 MPa 15. A hollow circular shaft of thickness 5mm has to transmit 400 kW at 250 rpm. Determine the external diameter of the shaft given that the maximum shear stress cannot exceed 60 MPa. a. 197 mm b. 187 mm c. 205 mm d. 192 mm 16. A shaft has to transmit a torque of 30 kN-m. The maximum shear stress is not to exceed 100 MPa and the angle of twist is not to exceed 1/meter length. G = 80 GPa. Design the shaft according to the given specifications if it is a solid circular shaft. a. 129.87 mm b. 152.80 mm c. 121.63 mm d. 115.18 mm