00rse id 148206_1&content; Mc Or=- QUESTION 10 The cross-sections shown below wi
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00rse id 148206_1&content; Mc Or=- QUESTION 10 The cross-sections shown below will be tested in a simply supported configuration. The beams are manufactured from 1/4" x 18" sticks like those used for your classroom designs in Weeks 2 & 3. Assume the Modulus of Rupture is 9,004 psi and the test span length is 16 inches. Calculate the expected failure force that will be shown on the scale for the 4-point test with the 1.125 inch gap length. Units are in lbs; do not include units in your answer. Round answers to the nearest whole number Click Save and Submit to save and submit. Click Save Ail Answers to save all answers. Save All AnswersClose Window SaExplanation / Answer
In a 4 point test, let F be the failure force at which fracture will occur
Hence, force on both the pins in the center = F/2
And on the edges = F/2
The maximum bending moment occurs at the central part in 4 point test whose value is
Mmax = 0.2325 F L
where L is span length
The max. bending stress is,
max = (1.395 F L)/ bh2
Because, I = bh2/12 and y= h/2 and Mmax is given above
max < Fracture strength (MOR)
MOR= modulus of rupture
b= 1/4 in
h= 18 in
L= 16 in
MOR= 9004 lb/in2
Therefore, F = 58329 lb
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