a) If a pipe with an inner diameter of 36 mm is subjected to an axial load of 5.20 x 105 N and the maximum allowable stress in the pipe is 7.5 x 109 N/m2 , calculate the minimum wall thickness required for the pipe. Give your answer in millimetres (mm) to 2 decimal places. b)A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under tension. If the wire length extension is 2.5 mm, calculate the stress in the wire. Give your answer in N/m2 to 2 decimal places.

The cross section of a concrete dam is shown in the figure. Take the weight-density (= pg) of water to be 10 kN/m³ and that of concrete to be 25 kN/m³. For the given design of the cross-section, find the ratio h/H that is safe enough for the dam to not tip over (about the downstream edge E). Here you will enter the numerical answer. In the handworked file you must show your worked solution. H E 60° H/10 4H/10 h

For the state of plane stress, stress components are shown on the element in Figure Question 1: a) Draw Mohr's circle b) Determine the principal planes and the principal stresses c) The stress components exerted on the element obtained by rotating the given element counterclockwise through 30°. y| 60 MPa x 100 MPa 48 MPa

QUESTION 12 The compound steel bar shown in Figure is made of three uniform segments marked as 1, 2 and 3 of diameters 30mm, 20mm and 10mm respectively and is loaded as shown. The stress in segment 1 is: 30mm 20 mm 10 mm 25kN 80 kN 2) 40 kN + 2m 1m 1m 臺 O a. 35.4 MNm2 O b. 92 MNm O c. 318.3 MNm2 С. O d. 113.2 MNm 2 QUESTION 13

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The beam cross-section shown in the Figure Q6 is subjected to a resultant internal vertical shear force V = 80000 N and moment M = 7000 N*m. For all numerical answers, answer to within 3 decimal places. Note that adatpive marking has been used to consider the method mark. 12 mm 60 mm † 12 mm 80 mm 20 mm y 20 mm Figure Q6: A cross-section of I-beam with given dimensions and resultant vertical shear force V and moment M (a) Determine the overall 2nd moment of area I, of the cross-section with regard to the neutral axis.

i) the position of maximum displacement in the segment AB. Hint: remember that coordinate x1 is measured from support A, thus the position of max. displacement will be measured from point A. Enter your answer in m to 3 decimal places.