Three prismatic bars (i.e., bars that have constant, \"prism-like\" cross-sectio

Question

Three prismatic bars (i.e., bars that have constant, "prism-like" cross-sections throughout their lengths), two of material A and one of material B, transmit a tensile load P. The two outer bars (material A) are identical. The cross-sectional area of the middle bar (material B) is 50% larger than the cross-sectional area of each of the outer bars. Also, the modulus of elasticity of material A is twice that of material B. a) what fraction of the load P is transmitted by the middle bar? b) What is the ratio of stress in the middle bar to the stress in the outer bars?

Explanation / Answer

by FBD, Fa(upper Bar)= 4/11 P, Fb= 3/11 P Fa(Lower Bar)= 4/11 P, ratio of steress= 1/2=.5

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