A method for manufacturing a shell element reinforced with support elements , having the following steps of: (a) providing a skin element , which has an outer surface and an inner surface disposed opposite the outer surface , (b) providing a first support element , which extends along a first axis and has an attaching side , which is parallel to the first axis , and a free side opposite the attaching side , (c) attaching the first support element on the skin element such that the attaching side of the first support element faces the inner surface of the skin element , (d) forming a first recess on the first support element , which proceeds from the free side of the first support element and extends transversely to the first axis , (e) providing a second support element , which extends along a second axis and has a support side , which is parallel to the second axis , and a front side opposite the support side , (f) inserting the second support element into the first recess of the first support element such that the support side faces the inner surface of the skin element , and such that the second axis of the second support element extends transversely to the first axis of the first support element , and (g) attaching the second support element on the first support element and/or on the skin element , characterized in that the first support element is attached on the skin element by means of prepreg layers , which are placed onto the lateral surfaces of the first support element , between the attaching side and the free side , and onto the regions of the inner surface of the skin element , next to the first support element , and which are subsequently cured. (a) providing a skin element , which has an outer surface and an inner surface disposed opposite the outer surface , (b) providing a first support element , which extends along a first axis and has an attaching side , which is parallel to the first axis , and a free side opposite the attaching side , (c) attaching the first support element on the skin element such that the attaching side of the first support element faces the inner surface of the skin element , (d) forming a first recess on the first support element , which proceeds from the free side of the first support element and extends transversely to the first axis , (e) providing a second support element , which extends along a second axis and has a support side , which is parallel to the second axis , and a front side opposite the support side , (f) inserting the second support element into the first recess of the first support element such that the support side faces the inner surface of the skin element , and such that the second axis of the second support element extends transversely to the first axis of the first support element , and (g) attaching the second support element on the first support element and/or on the skin element , characterized in that the first support element is attached on the skin element by means of prepreg layers , which are placed onto the lateral surfaces of the first support element , between the attaching side and the free side , and onto the regions of the inner surface of the skin element , next to the first support element , and which are subsequently cured. <EOS>