A rectangular beam, supported at its two ends, will sag when subjected to a uniform load.The amount of sag is calculated from the formula: $S = C p x ^ { 4 } / w h ^ { 3 }$ , where p is the load (in Newtons per meter), x is the length between supports (in meters), w is the width of the beam (in meters), h is the height of the beam (in meters), and C is a constant (depending on material and units of measurement used).Determine $\partial S / \partial h$ for a beam 3 m long, 0.1 m wide, 0.2 m high subjected to a load of 80 N/m.
A) $\Delta S / \partial h_{(803,0102)}=$ -121,500,000 C.
B) -40,500,000 C.
C) 121,500,000 C.
D) 40,500,000 C.

Question

A rectangular beam, supported at its two ends, will sag when subjected to a uniform load.The amount of sag is calculated from the formula: $S = C p x ^ { 4 } / w h ^ { 3 }$ , where p is the load (in Newtons per meter), x is the length between supports (in meters), w is the width of the beam (in meters), h is the height of the beam (in meters), and C is a constant (depending on material and units of measurement used).Determine $\partial S / \partial h$ for a beam 3 m long, 0.1 m wide, 0.2 m high subjected to a load of 80 N/m.
A) $\Delta S / \partial h_{(803,0102)}=$ -121,500,000 C. 
B) -40,500,000 C. 
C) 121,500,000 C. 
D) 40,500,000 C.

Quizplus · Accepted Answer

The Answer of A rectangular beam, supported at its two ends, will sag when subjected to a uniform load.The amount of sag is calculated from the formula: $S = C p x ^ { 4 } / w h ^ { 3 }$ , where p is the load (in Newtons per meter), x is the length between supports (in meters), w is the width of the beam (in meters), h is the height of the beam (in meters), and C is a constant (depending on material and units of measurement used).Determine $\partial S / \partial h$ for a beam 3 m long, 0.1 m wide, 0.2 m high subjected to a load of 80 N/m.
A) $\Delta S / \partial h_{(803,0102)}=$ -121,500,000 C. 
B) -40,500,000 C. 
C) 121,500,000 C. 
D) 40,500,000 C.

A Rectangular Beam, Supported at Its Two Ends, Will Sag S=Cpx4/wh3S = C p x ^ { 4 } / w h ^ { 3 }S=Cpx4/wh3

A Rectangular Beam, Supported at Its Two Ends, Will Sag $S = C p x ^ { 4 } / w h ^ { 3 }$