Question

What is the spring rate from equation 2 if k is the derivative shown in the first picture?

Determine the predicted spring rate Determine the theoretical spring rates of the axially loaded columns BEFORE buckling. Recall that the spring rate k = d dsRefer to equation 2 above and to Hibbeler chapter 9, eq. 9.2 Enter the relevant formulas into columns and R blue fields)

Answer 1

Since no mention is made of the edition of the book and whether it is mechanics of material or some other book I could not refer. So I have used the equation given in the question. If something else was expected pl let me know. I will update accordingly. Pl see below my response.

PL compousssim Here Al is the Caxial undir load P AE Tot L = length of column A= cress sutimal are E Models of elastruly When very small è upresent is 8 con encall So AL We have, 8 = B [ be for buchinty De PK RED ME » PL= AES -P= HS Differentiating both mats with respect tof We get dp We Take AL d8 ar t practically but to Charpe T AE , is the spring - Constant Mali for . an an ally loadw column befese buclice Ir drops dramas cally under buegelse.