A beam assembly shown below is supported by a simple hinge and roller supports at A and C respectively. The 8-ft-long segment A-C (a 4 ft) has a uniform cross section as shown in the figure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3 kip) at point D, which is directly above point A. Take E = = 31500 ksi. D e 'e = Cross section at e---e 3b Ab 4b Figure 4: Simply supported beam with point load and cross-section If the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100 ksi without failure, respectively, determine the smallest allowable dimension b in the segment cross section (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.
A beam assembly shown below is supported by a simple hinge and roller supports at A and C respectively. The 8-ft-long segment A-C (a 4 ft) has a uniform cross section as shown in the figure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3 kip) at point D, which is directly above point A. Take E = = 31500 ksi. D e 'e = Cross section at e---e 3b Ab 4b Figure 4: Simply supported beam with point load and cross-section If the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100 ksi without failure, respectively, determine the smallest allowable dimension b in the segment cross section (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A beam assembly shown below is supported by a simple hinge and roller supports at A and C
respectively. The 8-ft-long segment A-C (a = 4 ft) has a uniform cross section as shown in the
figure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3
kip) at point D, which is directly above point A. Take E = 31500 ksi.
D
e
e
R
Cross section
at e---e
46
3b
b
Ab
4b
Figure 4: Simply supported beam with point load and cross-section
If the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100
ksi without failure, respectively, determine the smallest allowable dimension b in the segment cross
section (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.
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