The box header shown in Figure 17.14 is subjected to an internal pressure of 20 psi. Sides 1 and 4 are constructed of carbon steel plates with E =30,000 ksi, and sides 2 and 3 are constructed of stainless steel plates with E =25,000 ksi. The four sides of the header have different thicknesses due

Question

The box header shown in Figure 17.14 is subjected to an internal pressure of 20 psi. Sides 1 and 4 are constructed of carbon steel plates with E =30,000 ksi, and sides 2 and 3 are constructed of stainless steel plates with E =25,000 ksi. The four sides of the header have different thicknesses due to some other load requirements. Calculate the forces and bending moments in the various members due to internal pressure.

Accepted Answer

P	20.00
[latex] L_{1}[/latex]	18.00	[latex] L_{2}[/latex]	9.00
[latex] t_{1}[/latex]	0.38	[latex] t_{2}[/latex]	0.50
[latex] t_{3}[/latex]	0.63	[latex] t_{4}[/latex]	0.75
[latex]E_{1}[/latex]	30.00	[latex] E_{2}[/latex]	25.00
[latex]E_{3}[/latex]	25.00	[latex] E_{4}[/latex]	30.00
[latex] K_{1}[/latex]	0.1318	[latex] K_{2}[/latex]	0.2604
[latex] K_{3}[/latex]	0.5086	[latex] K_{4}[/latex]	1.0547
[latex] K_{5}[/latex]	4 030.0646	[latex] K_{6}[/latex]	5 665.9046
[latex] K_{7}[/latex]	−512.4250	[latex] K_{8}[/latex]	29,765.0995
[latex] K_{9}[/latex]	−2 169.3850	[latex] K_{10}[/latex]	215.0161
[latex] K_{11}[/latex]	−59,219.8387	[latex] K_{12}[/latex]	−247,406.1926
[latex] K_{13}[/latex]	16,897.5821	[latex] K_{14}[/latex]	−87,852,799.6921
[latex] K_{15}[/latex]	5,839,410.6593	[latex] K_{16}[/latex]	−661,528,989.6918
[latex] K_{17}[/latex]	−2,960,851.6201	[latex] K_{18}[/latex]	−106,613.7551
[latex] K_{19}[/latex]	−31,037,019.6555
[latex] K_{20}[/latex]	28.8116	[latex] M_{ o }[/latex]	576.23
[latex] K_{21}[/latex]	9.4450	[latex] V_{ o }[/latex]	188.90
[latex] K_{22}[/latex]	5.0791	[latex] H_{ o }[/latex]	101.58

Knowing the values of [latex] M_{o}, V_{o}[/latex], and [latex] H_{o}[/latex], the remaining forces and moments in the structure can easily be calculated and are shown in Figure 17.15.

Question 17.12: The box header shown in Figure 17.14 is subjected to an inte...

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