Ends supported, weight at centre,
132 Molesworth’s pocket-book
Deflection of Beams and Girders.
— Length of span.
W = Weight on beam.
1 = Moment of inertia.
H = Modulus of elasticity, say 10,000 for cast
iron = 13,000 for steel.
S ~ Stress in tons per square inch on material
of beam or girder.
D = Effective depth.
d = Deflection of beam or girder.
One end fixed, the other loaded, d = •
• 3EI’
. • ’ WL3
»» „ weight distributed, d =--------.
’ 8 EI
, WL’
48EI ’
J 5 W L2
384 E I
, SL2
d = ----- .
Transverse Strength of Plates. (Rankine.)
laking a plate supported at two sides, and the load distri-
buted, its strength as a beam will be say -K6t*2 = L Then
dWerentconditTons?!1116 P^es under
distributed.
Ends supported, uniform stress,
Character of Plate. How Supported. Condition of Load. Relative Strength.
Square Square Circular Circular 4 sides 4 sides All round All round Distributed Central Distributed Central 2 6 3-1416 9-42
win teasi-r'Vtr, Ha t ™“°vable abutment, the strength
win oe as I u to the strength above given.