4. (a) Explain why ‘simple bending theory’ may not give
sufficiently accurate results when applied to predict stresses in a
‘curved beam’ problem.
(b) A curved beam formed from a symmetrical I - Section of
cross-section dimensions shown in Figure Q4, is subjected to two
equal and opposite
forces P. The radius of the centroidal axis of the curved segment
is 125mm
(i) Using ‘curved beam theory’ determine the radius of the neutral
axis in the curved segment.
(ii) Hence calculate the maximum value of the forces P which can be
applied if the maximum tensile stress in the beam is not to
exceed 300 MNm-2.
(iii) Compare your answer to (ii) above with that predicted by the
simple bending theory and comment critically.
125 mm P 50 mm 5 mm P+ ove you ww 9 140 mm 80 mm 5 mm Figure Q4
4. (a) Explain why ‘simple bending theory’ may not give sufficiently accurate results when applied to predict stresses i
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4. (a) Explain why ‘simple bending theory’ may not give sufficiently accurate results when applied to predict stresses i
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