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A36 steel allowable shearing stress allowable stress aluminum angle of twist axial load beam in Fig beam shown boiler butt joint cantilever beam centroid compressive stress concentrated load cover plates cross section cross-sectional area curve at points deformation Determine the maximum elastic curve equation Example factor of safety ﬁber stress ﬁrst ﬂange formula free-body diagram ft long ft-lb horizontal I-beam in-lb inertia inner row internal resisting kips lap joint lb Fig lb/ft left end length loaded as shown longitudinal main plate maximum allowable shearing maximum deﬂection maximum safe load maximum shearing stress midspan modulus of elasticity moment-area normal stress outer rows PROBLEMS psi shear right end row of rivets shear diagram shown in Fig slenderness ratio Solution speciﬁed statically indeterminate steel column steel plate steel shaft strength support an axial tangent tensile stress tension thickness torque torsion transmits unit strain weld yield point