When accessing a static IP from inside your network, it does not work without configuring settings to do so.

The goal is to be able to access the Static NAT from inside your trusted network.  By default you can access it inbound but not from inside.

Topology:

Egress interface is on fe-2/0/0 which is in the untrust zone and the external address is 10.8.24.195.
Ingress is on ge-0/0/0 which is in the trust zone and the internal address is 10.3.1.135 which is the exchange server for ex.

10.8.24.195
    |
   \|/
fe-2/0/0
    |
    |NAT through the SRX or J-Series device
ge-0/0/0 is 10.3.1.1
    |
inside the trust zone is the exchange server at 10.3.1.135

1) edit security nat static
  (create your source nat for interzone)
  nat {
        source {
            rule-set out {
                from zone trust;
                to zone untrust;
            rule-set trust_to_trust {   <------create a source rule from zone to zone
                from zone trust;
                to zone trust;
                rule exchange {
                    match {
                        source-address 0.0.0.0/0;
                    }
                    then {
                        source-nat {
                            interface;
                        }
                    }
                }
            }
        }
(Create a static NAT under security NAT)
        static {   <---------create a static nat
            rule-set inboundmail {
                from interface [ ge-0/0/0.0 fe-0/0/2.0 ];   <-------add the external as well as the internal interface
                rule exchange {
                    match {
                        destination-address 10.8.24.195/32;
                    }
                    then {
                        static-nat prefix 10.3.1.135/32;
                    }
                }
            }
        }
(Remember to set your proxy arp)       
     proxy-arp {
            interface fe-0/0/2.0 { <------add the proxy arp for the static nat that you created
                address {
                    10.8.24.195/32;
                }
            }
        }
    }


(Create your policy for inbound NAT under security policy)
    from-zone untrust to-zone trust {  <-------here is your inbound policy
     policy inbound {
                match {
                    source-address any;
                    destination-address exchange;
                    application any;
                }
                then {
                    permit;
                }
            }
        }
    }
    
    (Create a policy from trust to trust for internal zone) <--------create a intra zone policy
     
     from-zone trust to-zone trust
     policy inbound {
                match {
                    source-address any;
                    destination-address any;
                    application any;
                }
                then {
                    permit;
                }
            }
        }
    }