Question

Also find the largest permissible bending moment when the member is bent about a vertical axis in kip-in

Three wooden beams and two steel plates are securely bolted together to form the composite member shown. Using the data given in the table, determine the largest permissible bending moment when the member is bent about a horizontal axis. Take x = 8 in. Modulus of elasticity Allowable stress Wood 2 x 100 psi 2000 psi Steel 29 10 psi 22,000 psi х 2 in. 2 in. | 2 in. 41.25 The largest permissible bending moment when the member is bent about a horizontal axis is kip-in.

Answer 1

Moment of Inertia ef wood (each) Iund - and 2x3 2183 TE = 85333 In Y 11 N.A IS-L = 0.2578 = 10.666 in 4 IF Mman Iman y Ir Mman y=8 Tman X I wou y 2000 X 85333 4. 42666- 666 lb in by each wood prece Mmanas Tran x Is-a y 22000 X10-666 4 = 58666.6666 bin by each stees piece Total moment of resultance M = EM 3x Mmon-w + 2x Mimonas = 3X42666.666 + 2.858666.666 245333.333 lb-in 245.333 Kip-in Mua =

2.25 in 8 Now moment of inertia of cxcold about y- nettura l ows. لا Fury = (5x2 + 2x1)x 2-13*]er + 8X2 Joy= 178 iny of wood Call pieces together). Isny يد .8x6 + (880.25) x ( + 0.25)? Jxe 12 Isay = 5.0833 ind of steel (all pieces Tmay ex Iwy Tman Mw- Yw 2000 X 178 = 109538.46 db-in 3.25 Mga XIsy yu 22OOO x s1083 1.25 My - Mwt My 199004.54 lb-in My 199.004 kipin Timan = 89466.08 lain Yo =3.25 =125 V. TY=

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